Professor Erik M Bollt      

W. Jon Harrington Professor of Mathematics      

                                                On my way to work.                                                     At work.                                                             On my way home

 Post-Doc Available

I am a Professor of Mathematics and joint with Physics, at the Clarkson University.  

My core specialty field is Dynamical Systems. I do research in Chaos Theory and Control of Chaos, Time-Series Embedding Analysis, Frobenius-Perron Operators, Stochastic Dynamical Systems and Noise induced transport mechanism, Hamiltonian Dynamics, Symbol Dynamics, Celestial Mechanics, and Communicating with Chaos.  I have been particularly interested in problems related to the fundamental issue in dynamical systems connected to model theory, regarding what constitutes a good model, leading us to develop mostly conjugacy. In particular, I have recently been working on how noise and determinism interact to create complication motions.  I have also been working lately on image processing, particularly as related to observing and modeling dynamical systems from imagry, and information theoretic questions such as loss-less image compression as well as optimization and PDEs based methods of image denoising and image metrics.  I am very interested in complex systems, and I run a networks/complex systems/nonlinear science/chaos group.  I am interested in problems of model reduction, sensing, and predicting bursting as well as predicting nonstationarity.  I am involved with airfoil flutter suppression in long aspect airfoils, with applications both to aircraft, specifically UAVs (unmanned air vehicles) and also to wind generated energy for controlling flutter and noise of large wind mills. Lately I have been particularly interested in problems in mixing and ecology regarding oceanography particularly as informed by remote sensing. 

Image-Based Dynamics Research Group Website

My office is: 369 Science Center.  

Email: bolltem@clarkson.edu

Addresses: Dept of Mathematics & Computer Science, Clarkson University, Potsdam, NY 13699-5815

VOICE: (315)-268-2307, FAX: (315)-268-2395

Jump Ahead to:

 

When I first got here

TEACHING

 

  Education

  Grants and Funding

  Yahoo's mathematics page

 

  Research Papers

  Articles in the Popular Press

  Honors, Awards and Fellowships

 

  Conferences, Invited Lectures, Travel

  Service and Experience

  Work History

 

  Outside Interests

  Family

 

 

 

Current Position

Professor, Mathematics Department, Clarkson University, Potsdam, NY. (Associate Professor 2002-2006, Professor 2006-present).

Endowed W. Jon Harrington Professor of Mathematics, Clarkson University, Potsdam, NY. Awarded 2010-.

 

Education

Ph.D. Applied Mathematics, University of Colorado at Boulder , Boulder, CO, May 1995.

Dissertation: Controlling Chaos, Targeting, and Transport

PhD Advisor: Professor James D. Meiss.

M.S. Applied Mathematics, University of Colorado at Boulder, Boulder, CO, 1992.

B.A. Applied Mathematics, University of California at Berkeley, Berkeley, CA, 1990.

 

Grants and Funding  

 

Army Research Office: 61386-EG, PI, with Jie Sun as co-PI   'On Hierarchical Scales, Information Reduction Efficiency and Inference in Complex Systems,' $343K, 2012-2015.

Office of Naval Research: PI,   'Transport Analysis and Ecological Modeling of Remotely Observed Hyperspectral Oceanographic Spatiotemporal Systems,' $130K, 2012-2014.

National Science Foundation : CMMI 1129859, PI, coupled to parallel grant with Maurizio Porfiri at Polytechnic Institute of New York University,  'DynSyst_Special_Topics: Collaborative Research: Geometry of group behaviors with application to fish schooling', Clarkson Share: $143K, 2011-2013.

Office of Naval Research: PI, with Joe Skufca as co-PI,  'Reduced-Order Representations for Design A Manifold Learning Approach to Reduced-Order Basis', $320K, 2011-2015.

Office of Naval Research: PI, with Aaron Luttman and Takashi Nishikawa as co-PIs, #GRANT00539561,  'A Variational Approach to Data Mining from Hyperspectral Image Sequences and Transport Analysis with Model Filtering of Spatiotemporal Dynamical Systems', $324K, 2009-2012.

National Science Foundation: PI, with Joe Skufca as co-PI, Applied Mathematics Division, DMS-0708083,  “Almost Conjugacy.” $380K, 2007-2010.

AFSOR : (Co-PI with several others), Goodarz Ahmadi is PI, ; Advancement of Intelligent Aerospace Systems, Joint with Syracuse, U, $876K to Clarkson U, 2009-2010.

 

Metropolitan Development Foundation : with Vento Tek and ARI, co-PI, with P. Marzocca (PI), G. Ahmadi, R. Jha, "Fabrication and Marketing of Smart Wind Turbine Blade," $50k, 2008.

 

Syracuse Center of Excellence in Environmental and Energy Systems - COE - CAP IV : co-PI, (PI is Pier Marzocca) “Development and Commercialization of Novel Wind Turbines .” $117,312, 2007-2008.

 

National Science Foundation: PI, Applied Mathematics Division, DMS-0404778-extension,  “A Transfer Operator Approach to Modeling Deterministic and Stochastic Transport, with Applications in the Physical Sciences. $22,698, 2007-2008.

 

National Institutes of Health : co-PI, (PI is C. Robinson), R01 AG026553-01A2,  “Phase-Locked Postural Pertubation Psychophysical Models.” $1,590,000, 2007-2010.

 

Army Research Office : PI, Mathematical Science Division, 51950-MA, "Modeling Spatiotemporal Systems on Arbitrary Networks by Unocovering Spatial Scales and Component Interactions: Uncovering Hierarchichal Scale Interactions for Problems of Mathematical Epidemiology," $258,608, 2007-2010

 

National Science Foundation: PI, Applied Mathematics Division, DMS-0404778,  “A Transfer Operator Approach to Modeling Deterministic and Stochastic Transport, with Applications in the Physical Sciences.” $147K, 2004-2008.

 

Grants for Growth (GRG), New York State : co-PI, (PI is P. Marzocca), “Fabrication and Marketing of Smart Wind Turbine.” $50K, 2006-2007.

 

Los Alamos National Laboratory, DOE: PI, (co-Pi is Peter Schultz), “Advanced Methods for Analysis of Image Like Data.”  $475K,  2003-2006.

Naval Research Laboratory BAA : PI, “Experimental Network Modeling in Local Area Network Data.”   $25K, 2003-2004.

United States Army Research Office, ARO, STAS, Research in Symbolic Dynamics, $30K 2005-2006.

 

Naval Research Laboratory BAA : PI, “Virus Spread on Complex Network Topologies-Detection, Analysis and Control.”   $40K, 2002-2003.

Naval Research Laboratory/Office of Naval Research : PI, “Information Flow Dynamics.”  Contract Grant No. N0001401wx20362, $25,000, (Contractor) grant period May 15, 2001 through May 14, 2002.

Efecta Technologies, Steamboat Springs, CO, Consulting in Dynamical Systems Methods for Image Compression Algorithms, $30K, 2001.

National Science Foundation, (PI) Applied Mathematics Division, DMS-0071314,  RUI: Combinatorial Control of Chaos, Symbolic Dynamics, Optimal Control and Inverse Frobenius-Perron Problem; $68,925, grant period Sept, 1, 2000 through Aug 31, 2003.

National Science Foundation, (PI)  Applied Mathematics Division, DMS-9704639,  Applications and Theory of Controlling Symbol Dynamics: Communicating with Chaos; $49,230, grant period Sept, 15, 1997 through Aug 31, 2000.

USNA, "Chaos and Complexity Center" and "Chaos Lab" internal grant, Faculty Development Award, (PI), $10K, 1999.

Army Research Laboratory, Information Sciences Directorate, Davies Fellowship, summers of 1996 and 1997.

Honors, Awards, And Fellowships  

  1. Regents' Scholar for undergraduate studies at U.C. Berkeley, 1985-1990.

  2. National Science Foundation Graduate Traineeship, 1993-1995.

  3. Project Next Fellow, AMS-MAA, 1996-1997.

  4. Davies Research and Teaching Fellow, 1995-1998.

  5. Member of Pi Mu Epsilon

  6. Young Author (<35) runner-up, presented by the Russian Academy of Sciences at the IEEE Circuits and Systems Society First International Conference on Controlling Chaotic Oscillations, St. Petersburg, Russia, August, 1997.

  7. Department of Defense, Superior Civilian Service Medal, 1997.

  8. US Naval Academy APGAR Teaching Award Nominee, 2000.

Affiliations

1.   Visiting Scientist, Los Alamos National Laboratories, Computational Science Methods Group (X-8), 2001-continuing.

 2.      Associate Member,  Centre Chaos Control & Syncronization, Department of Electrical Engineering, City University of Hong Kong. 2002-continuing.

Students  

   Postdoctoral Researcher:

Rana Parshad, 2009-2011, Mostly Conjugacy, and Modelling.

   Graduate Students:

Ranil Basnayake, PhD student, Clarkson University, 2009- , Inverse Problems for Image Processing of Satiotemporal Dynamical Systems

Sean Kramer, PhD student, Clarkson University, 2009- , Ecological Modelling of the Chesapeake Bay as Informed by Spatiotemporal Satellite Imagry.

Tian Ma, PhD student, Clarkson University, 2010- , Transfer Operator Methods for Transport Study Informed by Remote Sensing and Spatiotemporal Satellite Imagry.

Bruce Alstrom, PhD student, Mechanical Engineering, Clarkson University, 2008 - , Aeroelastic Control.

Kelum Hewa Gajamannage , PhD student, Clarkson University, 2011- , Manifold Learning and Cooperative Group Behavior.

Ling Chen, PhD student, Clarkson University, 2012- , Quorum sensing and issues of information flow.

   Former Graduate Students:

Jiongxuan Zheng (Chris), PhD student, Clarkson University, 2008-2013, Analysis of Mostly Conjugacy and Defect Measure. PhD Thesis

Kevin Matthews, Masters student, Clarkson University, 2010 , GE Fellowship Program, Smart Grid

Jie Sun (Rio), PhD student, Clarkson University, 2006-2009, Networked Networks: Uncovering Hierarchical Scales of Spatial-Temporal Dynamics, PhD Thesis Post Doc at Northwestern

Scott LaLonde, MS student, Clarkson University, 2008-2009, Modelling and Defect Measure. Masters Thesis,

Chen Yao, PhD student, Clarkson University, 2002-2007, Model reduction techniques. PhD Thesis, went to Fleet Financial Group, NYC. Operation Research Analyst.

Naratip Santitissadeekorn, Transport Analysis and Motion Estimation of Dynamical Systems of Time-Series Data, PhD student, Clarkson University, 2004-2008. PhD Thesis, went to University of New South Wales, Australia, Department of Mathematics and Statistics.

Jim Bagrow, PhD student, Clarkson University, Analysis and Applications of Complex Networks, co-direct with Dani ben-Avraham, 2004-2008. PhD Thesis, went to Northeastern University, Department of Physics.

    Undergraduate Trident, Honors, and Projects Students:  

Adam Allanad, Honors Thesis, Clarkson University 2003-2005. Went to U. Chicago grad school.

Michael, Allard, Clarkson University.  2003.

KadianStephenson, McNair Scholar, Clarkson University, Summer 2003, Realtime video experimental time-series capturing.

Noah Reddell, USNA, Trident Scholar, "Development of Digital Signal Processor (DSP) Based Chaotic Commincation System With Emphasis on Military Applications," (.pdf) USNA graduate 2002, Next to Stanford Electrical Engineering grad school.  See also MILOCM 02' Proceedings publication. (.pdf)

Joshua Wood, USNA, Trident Scholar, "Statistics of Chaotic Time-Series Prediction," USNA graduate 1999.  Next to Penn State Math grad school.

Monjure, USNA, Mathematics Honors Project, "Communication With Chaos," USNA graduate 2000.

Jamie Lusk, USNA, Mathematics Project Student, "Small Worlds," USNA graduate 2001.

 

Editorial Appointments

Associate Editor of Mathematical Biosciences and Engineering (MBE). (2003- ).

Associate Editor of Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Series B: Applications & Algorithms. (2003- ).

Senior Editor: DSWeb. About the Dynamical Systems Profession, (2004- ) http://www.dynamicalsystems.org/ap/eb/

Guest Associate Editor of International Journal of Bifurcations and Chaos - IJBC (MBE). (2010- ).

 

Research Papers

  1. Sachit Butaila, Maurizio Porfiria, Erik. M. Bollt, "Analysis and Classification of Collective Behavior Using Generative Modeling and Nonlinear Manifold Learning , " submitted to the Journal of Theoretical Biology, 2013, pdf

  2. Robert Bruce Alstrom, Pier Marzocca, Goodarz Ahmadi, Erik. M. Bollt, "Flow Induced Noise Considerations for the Wind Tunnel Testing of a NACA 0015 Airfoil with Slots , " submitted to the Journal of Vibration and Acoustics, 2013, pdf

  3. Jie Sun, Erik. M. Bollt, "Causation Entropy Identifies Indirect Influences, Dominance of Neighbors and Anticipatory Couplings , " submitted to Physica D "Special Issue: Evolving Dynamical”, 2012, pdf

  4. DeLellis, P., Polverino, G., Ustuner, G., Abaid, N., Bollt, E. M., Porfiri, M., " Analysis of collective behavior among species by the presence of low-dimensional embedding manifolds , " submitted to submitted to the 2013 ASME DSCC - Dynamic Systems and Control Conference, October 21–23, 2013, Palo Alto, California, USA., 2013,

  5. Jiongxuan Zheng, Joseph D. Skufca, Erik. M. Bollt, "The Bundle plot: Evolution of symbolic space under the system parameter changes, " to appear International Journal of Bifurcation and Chaos, 2012, pdf

  6. Jiongxuan Zheng, Joseph D. Skufca, Erik. M. Bollt, " Comparing Dynamical Systems By Graph Matching Method, " to appear Physica D, 2012, pdf

  7. Erik M. Bollt, Joseph D. Skufca, "A Stable Principle Manifold of a Separable Attractor of the Chaotic Beam System, " submitted to SIAM Journal of Dynamical Systems (SIADS), 2012, pdf

  8. Pietro DeLellis, and Maurizio Porfiri, and Erik M. Bollt, "Topological analysis of group fragmentation in multi-agent systems, " to appear Physical Review E (PRE), 2013, pdf

  9. Ranil Basnayake, Aaron Luttman, and Erik Bollt, "A Lagged Diffusivity Method for Computing Total Variation Regularized Fluid Flow, " to appear Eighth Intl Conf. Sci. Computing and Appl., Las Vegas 2012, pdf

  10. Robert Bruce Alstrom, Goodarz Ahmadi, Erik Bollt, Pier Marzocca, " Synchronization for the Flow Control of a High Lift System , " submitted to Boston SDMAIAA 2013, pdf

  11. Tian Ma, Erik Bollt, "Relatively Coherent Sets as a Hierarchical Partition Method , " to appear International Journal of Bifurcations and Chaos, (2013), pdf

  12. Sean Kramer, Erik Bollt, "Spatially Dependent Parameter Estimation and Nonlinear Data Assimilation by Autosynchronization of a System of Partial Differential Equations, " to appear Chaos (2013), pdf

  13. Aaron Luttman, Erik M. Bollt, Ranil Basnayake, Sean Kramer, Nicholas B. Tullaro, "A Stream Function Framework for Estimating Fluid Flow from Digital Imagery," submitted Chaos (2012), pdf

  14. Robert Bruce Alstrom, Erik Bollt, Pier Marzocca, Goodarz Ahmadi, "The Application of Nonlinear Pre-Filters to Prevent Aeroservoelastic Interactions due to Actuator Rate Limiting," submitted 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (2012), pdf

  15. Nicole Abaid, Erik Bollt, and Maurizio Porfiri, "Topological analysis of complexity in multi-agent systems," Phys. Rev. E 85, 041907 (2012), pdf

  16. Jiongxuan Zheng, Joe Skufka, Erik Bollt, " Heart Rate Variability as Determinism with Jump Stochastic Parameters," to appear MBE (2012), pdf

  17. Robert Bruce Alstrom, Goodarz Ahmadi, Erik Bollt, Pier Marzocca " The Application of Nonlinear Pre-Filters to Prevent Aeroservoelastic Interactions due to Actuator Rate Limiting ," submitted 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference(2011), pdf

  18. Aaron Luttman, Erik Bollt, Ranil Basnayake, and Sean Kramer, "A Stream Function Approach to Optical Flow with Applications to Fluid Transport Dynamics," Proceedings in Applied Mathematics and Mechanics 11 1 855 - 856 (2012), pdf and the vector field movie movie and FTLE movie movie at group link

  19. McGregor SJ, and Bollt E., "Control entropy: What is it and what does it tell us? " Clinical Kinesiology 66(1) 7-12; Spring, (2012). pdf

  20. Busa MA, Muth T, Hornyak JE, Herman CW, Bollt EM, and McGregor SJ., " High-Resolution MEMS Accelerometers Identify Changes in Center of Mass Mechanics in Highly Trained Runners ," Journal of Sports Sciences. In Review: (2012)

  21. Erik Bollt, "Synchronization as a Process of Sharing and Transferring Information," International Journal of Bifurcations and Chaos, 22 1250261 (2012) pdf

  22. Erik M. Bollt, Aaron Luttman, Sean Kramer, Ranil Basnayake, "Measurable Dynamics Analysis of Transport in the Gulf of Mexico During the Oil Spill," International Journal of Bifurcation and Chaos 22(3):1230012 (2012). pdf and the movie movie

  23. Rana D. Parshad, Stephen J. McGregor, Michael A. Busa, Joseph D. Skufca, Erik Bollt "A statistical approach to the use of Control Entropy identifies differences in constraints of gait in highly trained versus untrained runners," Mathematical Sciences and Engineering (MBE) Volume 9,Number 1, 123 - 145 January (2012). pdf

  24. Rana D. Parshad, Jiongxuan Zheng, Erik M. Bollt, Joseph D. Skufca, " Mostly Conjugacy of Stochastically Perturbed Dynamical Systems," Int. J. Contemp. Math. Sciences, Vol. 7, no. 9, 395 - 412 (2012). pdf

  25. Aaron Luttman, Erik Bollt, and Jason Holloway, "An Optical Flow Approach to Analyzing Species Density Dynamics and Transport," Journal of Computational Mathematics 30 249-261 (2012). pdf

  26. R. B. Pilkar, E. M. Bollt, and C. J. Robinson "EMPIRICAL MODE DECOMPOSITION/ HILBERT TRANSFORM ANALYSIS OF POSTURAL RESPONSES TO SMALL AMPLITUDE ANTERIOR-POSTERIOR SINUSOIDAL TRANSLATIONS OF VARYING FREQUENCIES," Mathematical Sciences and Engineering (MBE) 8, 4, October (2011). pdf

  27. Douglas Bohl, Naratip Santitissadeekorn, Akshey Mehta, and Erik Bollt, "Characterization of mixing using experimentally derived velocity fields and lagrangian coherent structures in a simple paddle mixer," 133 6 061202 Journal of Fluids Engineering (2011). pdf

  28. Jie Sun, Erik M. Bollt, and Takashi Nishikawa, "Judging Model Reduction of Complex Systems ," Physical Review E, 83(4), 046125 (2011). pdf

  29. Stephen J. McGregor, Michael A. Busa, Rana Parshad, James A. Yaggie, Erik Bollt "Control Entropy of Gait: Does Running Fitness Affect Complexity Of Walking?," Clinical Kinesiology 65(1); 9-17, Spring, 2011 pdf

  30. Rana D. Parshad, Stephen J. McGregor, Michael A. Busa, Joseph D. Skufca, Erik Bollt, "A novel statistical approach to the use of Control Entropy identifies differences in constraints of gait in highly trained versus untrained runners," Mathematical Biosciences and Engineering (MBE) 9 1 123-145 (2012).

  31. Jie Sun, Erik M Bollt, Mason A, Porter, Marian S. Dawkins, "A Mathematical Model for the Dynamics and Synchronization of Cows," Physica D 240 1497 - 1509 (2011). pdf

  32. Stephen J McGregor, William J Armstrong, James A Yaggie, Erik M Bollt, Rana Parshad, Jerry J Bailey, Sean M Johnson, Aleta M Goin and Samuel R Kelly, " Lower extremity fatigue increases complexity of postural control during a single-legged stance ," J Neuroeng Rehabil 8: 43, 2011.

  33. Robert Bruce Alstrom, Goodarz Ahmadi, Erik Bollt, Pier Marzocca, " The Effect of Electro-Hydraulic and Electro-Hydrostatic Actuators Dynamics on the Adaptive Control of Chaotic Motions of a Nonlinear Aeroservoelastic (ASE) System ," AIAA GNC/AFM/MST/ASC/ASE 2010 Conference(2010). pdf

  34. Robert Bruce Alstrom, Pier Marzocca , Erik Bollt , Goodarz Ahmadi, "Controlling Chaotic Motions of a Nonlinear Aeroelastic System Using Adaptive Control Augmented with Time Delay," AIAA GNC/AFM/MST/ASC/ASE 2010 Conference(2010). pdf

  35. Jiongxuan Zheng, Erik M Bollt, Joseph D Skufca, "Regularity of commuter functions for homeomorphic defect measure in dynamical systems model comparison ," DCDS-A Discrete and Continuous Dynamical Systems 18 363-382 (2011). pdf

  36. Joseph D. Skufca, Erik M. Bollt, Rakesh Pilkar, Charles J. Robinson, "Eigenposes: Using Principal Components to Describe Body Configuration for Analysis of Postural Control Dynamics.," WCCI 2010 - IEEE World Congress on Compuational Intelligence Barcelona, Spain (2010). pdf

  37. Erik M. Bollt, Chen Yao, Ira B. Schwartz, "Dimensional Implications of Dynamical Data on Manifolds to Empirical KL Analysis ," 239, 23-24, 2039-2049 Physica D, (2010). pdf

  38. Erik M. Bollt, Joseph D. Skufca, "On comparing dynamical systems by defective conjugacy: A symbolic dynamics interpretation of commuter functions," Physica D Volume 239, Issue 10, 15 May, Pages 579-590 (2010). pdf

  39. Erik M. Bollt, Joseph D. Skufca, Stephen J McGregor, "Control Entropy: A Complexity Measure for Nonstationary Signals," Mathematical Biosciences and Engineering, 6 1 1-25 (2009). pdf

  40. Jie Sun, Erik M. Bollt, Takashi Nishikawa, "Synchronization Stability of Coupled Near-Identical Oscillator Network ," Book chapter in Complex Sciences (published by Springer). Part 1, Volume 4, pp. 900~911 (2009). http://www.complex-sys.org/ pdf

  41. Jie Sun, Erik M. Bollt, Takashi Nishikawa, "Constructing Generalized Synchronization Manifolds by A Manifold Equation ," SIAM J. Appl. Dyn. Syst. Volume 8, Issue 1, pp. 202-221 (2009). pdf

  42. Stephen J. McGregor, Erik M. Bollt, Joe Skufca, Melvyn Rubenfire, "Cardiac Control Entropy: Changes in complexity of HR signal can be transient or sustained," submitted to CHAOS (2009). pdf

  43. Stephen J. McGregor, Michael A. Busa, Joseph Skufca, James A. Yaggie, Erik M. Bollt "Control Entropy identifies differential changes in complexity of walking and running gait patterns with increasing speed in highly trained runners," CHAOS 19, 026109 (2009). pdf

  44. Stephen McGregor, Michael Busa, James Yaggie, and Erik Bollt, "Using High Resolution MEMS Accelerometers (HRA) for the Estimation of VO2 in Highly Trained Inter-collegiate Distance Runners," PloS oneÊ4(10):e7355 (2009). pdf

  45. Jie Sun, Erik M. Bollt, and Takashi Nishikawa, "Master Stability Functions for Coupled Near-Identical Dynamical System," arXiv:0811.0649, EPL 85 (2009) 60011. pdf

  46. R. J. Schilling, E. M. Bollt, G. D. Fulk, J. D. Skufca, A. F. Al-Ajlouni, R. Robinson, and C. J. Robinson, "A Quiet Standing Index for Testing the Postural Sway of Healthy and Diabetic Adults Across a Range of Ages," IEEE Trans. on BME 56 2 292-302 (2009). pdf

  47. Jie Sun, James P. Bagrow, Erik M. Bollt, and Joesph D. Skufca, "Dynamic Computation of Network Statistics via Updating Schema ," Phys. Rev. E 79, 036116(2009). pdf

  48. Naratip Santitissadeekorn, Erik M Bollt, "Image Edge Respecting Denoising with Edge Denoising by A Designer Nonisotropic Structure Tensor Method," Image and Vision Computing, 9 3 309Ð318 (2009). pdf

  49. R. Chartrand, K. Vixie, B. Wohlberg, E. Bollt, "A gradient descent solution to the Monge-Kantorovich problem ," Applied Mathematical Sciences, Vol. 3, no. 22, 1071 - 1080 (2009). pdf

  50. Naratip Santitissadeekorn, Douglas Bohl, Erik Bollt, "Analysis and Modeling of an experimental device by finite-time Lyapunov exponent method," (cover article) International Journal of Bifurcations and Chaos 19 3 (2009). pdf

  51. Erik M. Bollt, Rick Chartrand, Selim Esedoglu, Pete Schultz, Kevin R. Vixie, "Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion ," The Journal of Advances in Computational Mathematics, (A Springer journal) in the special issue on "Mathematical Methods for Image Processing." Adv Comput Math DOI 10.1007/s10444-008-9082-7 (2008). pdf

  52. Maurizio Porfiri, Daniel J. Stilwell and Erik M. Bollt, "Synchronization in random weighted directed networks ," IEEE Transactions on Circuits and Systems I, 55(10), 3170-3177 (2008). pdf

  53. Joseph D. Skufca, Erik M. Bollt, "A Concept of Homeomorphic Defect for Defining Mostly Conjugate Dynamical Systems," Chaos: An Interdisciplinary Journal of Nonlinear Science, 18 013118 (2008). pdf

  54. Jie Sun, Erik M. Bollt and Daniel ben-Avraham, "Graph Compression -- Save Information by Exploiting Redundancy," arXiv:0712.3312, J. Stat. Mech. (2008) P06001. pdf

  55. Erik Bollt, Pawel Gora, Andrzej Ostruszka, and Karol Zyczkowski, "Basis Markov Partitions and Transition Matrices for Stochastic Systems," SIAM Journal on Applied Dynamical Systems, 7 2 341Ð360 (2008). pdf

  56. Joseph D Skufca, Erik M Bollt, "Relaxing Conjugacy To Fit Modelling in Dynamical Systems," Physical Review E, 76 026220 (2007). pdf

  57. Joseph D Skufca, Erik M Bollt, "Relaxing Conjugacy To Fit Modelling in Dynamical Systems," Virtual J. of Biological Physics, 14 5 (2007). link

  58. James P. Bagrow, Erik M. Bollt, Joseph D. Skufca, and Daniel ben-Avraham, "Portraits of Complex Networks," cond-mat/0703470, Euro Physics Letters, EPL 81 68004 (2007). pdf

  59. Chen Yao, Erik Bollt, "Modeling and Nonlinear Parameter Estimation with Kronecker product Representation for Coupled Oscillators and Spatiotemporal Systems," Physica D 227 1, 78-99 (2007). pdf

  60. K. O'Donnell, A. Milanese, C. Hoover, M. Stolk, L. Miller, P. Marzocca, R. Jha, G. Armadi, E. Bollt, "Active Flow and Aeroelastic Control of Lifting Surfaces ," 2007 SAE AeroTech Congress & Exhibition, September 17-20, 2007 Los Angeles, (2007). pdf

  61. Jim Bagrow, Erik Bollt, Luciano da Fontoura Costa "On Short Cycles and Their Role in Network Structure," http://arxiv.org/abs/cond-mat/0612502, submitted Physical Review E, (2007). pdf

  62. Erik Bollt, "Attractor Modeling and Empirical Nonlinear Model Reduction of Dissipative Dynamical Systems," International Journal of Bifurcation and Chaos (IJBC) in Applied Sciences and Engineering, Vol. 17, No. 4 (2007) 1199-1219. pdf

  63. Keegan Keegan S. O'Donnell , Charles McNall , Piergiovanni Marzocca, Ratneshwar Jha, Erik M. Bollt, "Design of a Wind Tunnel Apparatus to assist Flow and Aeroelastic Control via Zero Net Mass Flow Actuators," 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (2007). pdf

  64. Naratip Santitissadeekorn and Erik M. Bollt, "The infinitestimal operator for the semigroup of the Frobenius-Perron operator from image sequence data: Vector fields and computational measurable dynamics from movies," Chaos 17, 023126 (2007). pdf

  65. Shawn D. Pethel, Ned J. Corron, and Erik M. Bollt, "Deconstructing High-Dimensional Spatiotemporal Chaos Using Simpler Local Symbolic Dynamics," Phys. Rev. Lett. 214101 (2007). pdf

  66. Chen Yao, Erik Bollt, "Application of ISOMAP in Dynamical Systems, Despite Non-Uniform Invariant Measure," submitted to MCMDS, Mathematical and Computer Modelling of Dynamical Systems, (2006). pdf

  67. Maurizio M. Porfiri, Daniel J. Stilwell, Erik M. Bollt, Joseph D. Skufca, "Stochastic synchronization over a moving neighborhood network," Proceedings of the IEEE 2007 American Control Conference, July (2007). pdf

  68. Maurizio M. Porfiri, Dan Stilwell, Erik M. Bollt, Joseph D. Skufca, "Random Talk: Random Walk and Synchronizability in a Moving Neighborhood Network," Physica D Special Issue on Dynamics on Complex Networks, 224 102-113 (2006). pdf

  69. Maurizio M. Porfiri, Dan Stilwell, Erik M. Bollt, "Decline of minorities in stubborn societies," Europhysics Letter B 57(4) 481-486 (2007). pdf

  70. Luciano da Fontoura Costa, Erik M. Bollt, "A Fast and Accurate Nonlinear Spectral Method for Image Recognition and Registration," http://xxx.lanl.gov/pdf/cs.DC/0604094 Applied Physics Letters, v. 89(17), p. 174102, 2006. pdf

  71. N. Santitissadeekorn and E. M. Bollt, "Identifying Stochastic Basin Hopping and Mechanism by Partitioning with Graph Modularity ,” Physica D, 231 95-107 (2007). pdf

  72. Tom Asaki, Erik M. Bollt, Kevin R. Vixie, "Sparse Radiographic Tomography and System Identification Imaging from Single View, Multiple Time Sample Density Plots," International Mathematical Journal Computational Methods in Applied Mathematics 6(4):354-366, (2006). pdf

  73. Christina Rubilloa, Erik Bollt, Piergiovanni Marzocca, "Active Aeroelastic Control of Lifting Surfaces via Jet Reaction Limiter Control," International Journal of Bifurcation and Chaos (IJBC) in Applied Sciences and Engineering, 16 9 2559-2574 (2006). pdf

  74. Thomas Rendall, Christopher Chang, Pier Marzocca, Erik Bollt, and Parsa Zamankha, "Aeroelastic Behavior of a Non-rigidizable Inflatable UAV Wing," 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 1 - 4 May 2006, Newport, Rhode Island, (2006).

  75. Shawn D. Pethel, Erik Bollt, and Ned J. Corron, "Symbolic Dynamics of Coupled Map Lattices ," PRL 96, 034105 (2006)..pdf

  76. Noah F. Reddell, Erik M. Bollt, Thad B. Welch, "A Dual-Synchrony Chaotic Communication Scheme ," Circuits, Systems and Signal Processing Special Issue on Applications of Chaos in Communications, 24 5 557-570 (2005). pdf

  77. Daniel J. Stilwell, Erik M. Bollt, D. Gray Roberson,"Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies ," nlin.CD/0502055, SIAM J. Dynamical Systems, 5:1 140:156 (2006). pdf

  78. J.P. Bagrow, E. M. Bollt, "A Local Method for Detecting Communities," cond-mat/0412482, Phys. Rev. E, 72 046108 (2005). pdf

  79. Daniel J. Stilwell, Erik M. Bollt, D. Gray Roberson, "Synchronization of Time-Varying Networks Under Fast Switching," Proceedings of the American Control Conference, Minneapolis, MN, (2006). pdf

  80. E.M. Bollt, "The Path Towards a Longer Life: On Invariant Sets and The Escape Time Landscape," International Journal of Bifurcations and Chaos (IJBC) in Applied Sciences and Engineering, 15 (5) 1615-1624 (2005). pdf

  81.   E.M. Bollt, D. ben-Avraham, “What is Special about Diffusion on Scale-Free Nets?” New J. Phys. 7 26 1-21 (2005). pdf

  82. Christina Rubilloa, Erik Bollt, Pier Marzocca, " Active Aeroelastic Control of Lifting Surfaces via Jet Reaction Limiter Control ," AIAA-2005-2076, 46th AIAA/ASME/ASCE/ASC Structures, Structural Dynamics, and Materials Conference, Austin, Texas, 18-21 April 2005. pdf

  83. H. D. Rozenfeld, J. E. Kirk, E. M. Bollt, and D. ben-Avraham "Statistics of Cycles: How Loopy is your Network?," cond-mat/0403536, J. Phys. A: Math. Gen. 38 (2005) 4589-4595. pdf

  84. James Bagrow, Hernan Rozenfeld, Erik Bollt, and Daniel ben-Avraham, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515, Europhys. Lett., 67 (4) 511-516 (2004). pdf

  85. J.D. Skufca, E. Bollt, "Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks," nlin.CD/0307010, Mathematical Biosciences and Engineering (MBE), 1 (2) 347 (2004). pdf

  86. D. ben-Avraham, E. Bollt, C. Tamon "One-dimensional continuous-time quantum walks," Quantum Information Processing 3 (2004), 295-308. pdf

  87. I.B. Schwartz, L. Billings, E. Bollt, “Dynamical epidemic suppression using stochastic prediction and control,” Physical Review E 70, 046220 (2004). pdf.

  88. L. Billings,I. B. Schwartz, D. S. Morgan, E.M. Bollt,R. Meucci, and E. Allaria, "Stochastic Bifurcation in a Driven Laser System-Experiment and Theory," Physical Review E 70 026220 (2004). pdf

  89.   E. Bollt, "Review of Chaos Communication by Feedback Control of Symbolic Dynamics," IJBC, 13 2 269-285 (2003)..pdf

  90. J.D. Skufca, E. Bollt, "Feedback Control with Finite Accuracy, More Knowlege and Better Control for Free," Physica D 179 18-32 (2003).  pdf

  91.   Triandaf, E. Bollt, I. Schwartz, "Approximating Stable and Unstable Manifolds in Experiments," Phys. Rev. E, 67, 037201-1-4 (2003) .pdf

  92. D. Morgan, E. Bollt, I. Schwartz, "Constructing constrained invariant sets in multiscale continuum systems," Phys. Rev. E 68, 56210 (2003).  .pdf

  93. L. Zhu, Y.C. Lai, F.C. Hoppensteadt, "Numerical and Experimental Investigation of the Effect of Filtering on Chaotic Symbolic Dynamics," Chaos 13 1 410-419 (2003). .pdf

  94. Y-C Lai, E. Bollt, Z. Liu, "Low-dimensional chaos in high-dimensional phase space: how does it occur?" Chaos, Solitons, and Fractals 15, 219-232 (2003).

  95. Lora Billings, Erik Bollt, Dave Morgan, and Ira B. Schwartz, "Stochastic global bifurcations in perturbed Hamiltonian systems," Discrete and Continuous Dynamical Systems, Proceedings of the Fourth International Conference on Dynamical Systems and Differential Equations, May 24-27, 2002, Wilmington, NC, USA, pp. 122-131.  .pdf

  96. E. Bollt, L. Billings, I. Schwartz, "A manifold independent approach to understanding transport in stochastic dynamical systems," Physica D, 173 3-4 153-177 (2002). pdf

  97. E. Bollt, A. Klebanoff, "A new and simple chaos toy," International Journal of Bifurcation and Chaos(IJBC) in Applied Sciences and Engineering.  12 (8) 1843-1857 (2002) .pdf  Cover Article:

  98. L. Billings, E. M. Bollt, and I. B. Schwartz, "Phase-Space Transport of Stochastic Chaos in Population Dynamics of Virus Spread," Physical Review Letters 88 (2002), art. no. 234101.  .pdf

  99. N. Reddell, E. Bollt, T. Welch, "Development of a digital signal processor (DSP) based chaotic communication system with emphasis on military applications ," appeared MILCOM (2002). pdf

  100. Qingxian Xie, Guanrong Chen, and E. Bollt, "Hybrid Chaos Synchronization and Its Application in Information Processing," Math Comput Modeling 35 145-163 (2002).pdf

  101. Klebanoff, E. Bollt, "Convergence of the Davidchack-Lai algorithm for finding periodic orbits," Chaos, Solitons, and Fractals.  12 1305-1322 (2001). pdf.

  102. E. Bollt, "Combinatorial Control of Global Dynamics in a Chaotic Differential Equation," International Journal of Bifurcation and Chaos (IJBC) in Applied Sciences and Engineering. Vol. 11, No. 8 2145-2162 (2001).pdf

  103. R.L.Davidchack, Y-C. Lai, A. Klebanoff, E. Bollt, "Towards complete detection of unstable periodic orbits in chaotic systems," Physics Letters A 287 (2001) 99-104. .pdf

  104. E. Bollt, T.Stanford, Y-C. Lai, K. Zyczkowski, "What Symbolic Dynamics Do We Get With A Misplaced Partition? On the Validity of Threshold Crossings Analysis of Chaotic Time-Series," Physica D. 154 3-4 259-286 (2001). pdf

  105. L. Billings and E. Bollt, "Probability density functions of some skew tent maps," Chaos Solitons and Fractals 12 365-376 (2001)..pdf

  106. E. Bollt, T.Stanford, Y-C. Lai, K. Zyczkowski, "Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series," Physical Review Letters, 85 16 3524-3527 (2000) pdf

  107. E. Bollt, "Model Selection, Confidence, and Scaling in Predicting Chaotic Time-Series," International Journal of Bifurcation and Chaos (IJBC) in Applied Sciences and Engineering, Vol. 10, No. 6, 1407-1422 (2000)..pdf

  108. E. Bollt, "Controlling Chaos and the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," International Journal of Bifurcation and Chaos (IJBC) in Applied Sciences and Engineering, Vol. 10, No. 5, 1033-1050 (2000). pdf

  109. E. Bollt, "Controlling Invariant Density: An $l^\infty$ Solution to the Inverse Frobenius-Perron Problem," IEEE Circuits and Systems Society ISCAS'2000, Conference Proceedings, Geneva, Switzerland, May (2000) Paper ID: #749..pdf

  110. E. Bollt, M.A. Jones, "The Complexity of Artificial Grammars,"Nonlinear Dynamics, Psychology, and Life Sciences, 4 2 153-168, (2000). zipped

  111. R. Davidchack, Y-C Lai, E. Bollt, M. Dhamala, " Estimating generating partitions of chaotic systems by unstable periodic orbits," Physical Review E, 61 2 1353-1356, (2000). .pdf

  112. E. Bollt, "Stability of Order: An Example of Horseshoes "Near" a Linear Map," International Journal of Bifurcation and Chaos (IJBC) in Applied Sciences and Engineering, Vol. 9, No. 10, Oct (1999). pdf

  113. K.Zyczkowski, E.Bollt, "On the entropy devil's staircase in a family of gap-tent maps," Physica D 132 3 392-410 (1999). pdf

  114. Y-C Lai, E. Bollt, C. Grebogi, "Communicating with chaos using high-dimensional symbolic dynamics," Physics Letters A 255 (1-2) (1999) 75. .pdf

  115. M. Dolnik, E. Bollt, "Communication with Chemical Chaos in the Presence of Noise," Chaos 8 3, 702-710, (1998).  .pdf 

  116. E. Bollt, Y.C. Lai, "Dynamics of coding in communicating with chaos,"Physical Review E, 58 2 1724-1736, (1998). ps.

  117. E. Bollt, E. Kostelich, "Optimal targeting of chaos," Physics Letters A 245(5) 399-406 (1998). pdf

  118. E. Bollt, Y.C. Lai, C. Grebogi, "Coding, Channel Capacity, and Noise Resistance with Chaos," Physical Review Letters, 79 19 3787-3790, (1997). .pdf  

  119. E. Bollt, M. Dolnik, "Encoding Information in Chemical Chaos by Controlling Symbolic Dynamics," Physical Review E, June, (1997). .pdf

  120. E. Bollt, "Controlling the Chaotic Logistic Map," PRIMUS (Problems Resources, and Issues in Mathematics Undergraduate Studies), Vol VII, No 1, 1-18, March (1997).

  121. E. Bollt, M. Dolnik, "Learning the Grammar of a Chaotic Dynamical System in a Format Suitable for Controlling Symbol Dynamics and Communications," refereed conference proc, IEEE Circuits and Systems Society Proc. First International Conference on Controlling Chaotic Oscillations, St. Petersburg, Russia, pp 573, August, (1997). ps

  122. E. Bollt, "Channel Capacity of A Noise Resistant Chaotic Communication Device," Proc. 5th Annual US Army Research Lab Technical Symposium, October, (1997).

  123. E. Bollt, "Communicating with a High Power Digital Transmitter Using Only Small Power Variations through Control of Chaos," Proc. 4th Annual US Army Research Lab Technical Symposium, October, (1996).

  124.   E. Bollt, J.D. Meiss, "Targeting Chaotic Orbits to the Moon through Recurrence," Physics Letters A 204 373-378 (1995). pdf.

  125. E. Bollt, J.D. Meiss, "Controlling Chaos through Recurrence," Physica D 81 280-294 (1995). pdf.

  126. E. Bollt, J.D. Meiss, "Breakup of Invariant Tori for the Four-Dimensional Semi-Standard Map," Physica D 66 282-297 (1993). 

Book

1.      Erik M. Bollt and Naratip Santitissadeekorn, Applied and Computational Measurable Dynamics, Book to appear Publisher: Society for Industrial and Applied Mathematics, (2013).

Book Chapters

1.      Ranil Basnayake and Erik M Bollt, A Multi-Time Step Method to Compute Optical Flow with Scientific Priors for Observations of a Fluidic System, BIRS Chapter, to appear, (2013). .pdf

2.      E. Bollt, Targeting Control of Chaotic Systems, in Chaos and Bifurcations Control: Theory and Applications, invited chapter, Editors G. Chen, X. Yu, D.J. Hill, p1-25 (Springer-Verlag) ISBN: 3540404058 (2003).  pdf

3.      E. Bollt, J. Skufca, Markov Partitions, Encyclopedia of Nonlinear Science, invited short, Editor, Alwyn Scott, Routledge, New York, (2005). pdf.

4.      E. Bollt, Order From Chaos, Encyclopedia of Nonlinear Science, invited short, Editor, Alwyn Scott, Routledge, New York, (2005). .ps

Articles in The Popular Press

  1. Southern California Public Radio, 89.3, The Loh Down on Science, the Los Angeles NPR Science Radio Show, " Math for Cows or Listen at NPR ,"Allie Akmal , July 5, 2012, aboutour work, "by Marc Abrahams about our paper, Jie Sun, Erik M Bollt, Mason A, Porter, Marian S. Dawkins, "A Mathematical Model for the Dynamics and Synchronization of Cows," Physica D 240 1497 - 1509 (2011).
  2. The Guardian, the UK Newspaper, " Why cows like to chew over things together,"December 12, 2011, aboutour work, "by Marc Abrahams about our paper, Jie Sun, Erik M Bollt, Mason A, Porter, Marian S. Dawkins, "A Mathematical Model for the Dynamics and Synchronization of Cows," Physica D 240 1497 - 1509 (2011).
  3. SiloBreaker, " Why cows like to chew over things together,"December, 2011, aboutour work, "by Marc Abrahams about our paper, Jie Sun, Erik M Bollt, Mason A, Porter, Marian S. Dawkins, "A Mathematical Model for the Dynamics and Synchronization of Cows," Physica D 240 1497 - 1509 (2011).
  4. American Scientist, " Why cows like to chew over things together,"December, 2011, aboutour work, "by Marc Abrahams about our paper, Jie Sun, Erik M Bollt, Mason A, Porter, Marian S. Dawkins, "A Mathematical Model for the Dynamics and Synchronization of Cows," Physica D 240 1497 - 1509 (2011).
  5. The Watertown Daily Times, " Clarkson professor takes unusual approach in cow study, By MATTHEW BULTMAN JOHNSON NEWSPAPERS ,"December 26, 2011, aboutour work, "by Marc Abrahams about our paper, Jie Sun, Erik M Bollt, Mason A, Porter, Marian S. Dawkins, "A Mathematical Model for the Dynamics and Synchronization of Cows," Physica D 240 1497 - 1509 (2011).
  6. MIT Technology Review, "First Mathematica Model of Cow Behavior," May 14 2010, aboutour work, "A Mathematical Model For The Dynamics And Synchronization Of Cows," arxiv.org/abs/1005.1381: (2010).
  7. News Watch television story about Vento Tek, Marzocca and Bollt, Wind Turbine Project role as a finalist start-up company in the 2007 Essential Connection Competition finalist, by MDA (Metropolitan Development Association). Newswatch50Link
  8. Nature 429, 8 - 9 (06 May 2004); doi:10.1038/429008a, Nature news in briefs, "Only legendary physicists pass Google's fame test,"about our work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  9. Daily Courier-Observer, Thurs, April 2005, "Clarkson's Boltt Researches Chaos Theory."
  10. Daily Courier-Observer, Sat, March 19, 205, "Clarkson Professors Study Scale-Free Nets in Journal."
  11. Wired News, “Big Flap Over Future Flight,” by Lakshmi Sandhana, May 18, 2004, http://www.wired.com/news/technology/0,1282,63361-2,00.html?tw=wn_story_page_next1.
  12. Radio interview , 15 minutes on “The Science Guy,” by Bill Martin, on NewsTalk Radio KFRU (www.kfru.com), Cumulus Broadcast Network, 9/22/04 at 9:25am. Broadcast audience to 250,000 in Missouri (2004).
  13. The Inquirer, News, Reviews, Facts, and Frictions, "Search to see if you are famous," by Nick Farrell, May 2004, aboutour work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  14. Sci-Tech Today, "Scientists Use Google to Measure Fame vs. Merit," by Mike Martin, May 20 2004, aboutour work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  15. NewsFactor Innovation, “Scientists Use Google To Measure Fame vs. Merit,” By Mike Martin, May 2004, aboutour work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  16. WebOptimiser, “Google as a tool for measuring scientist's fame,” May 21, 2004, about our work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  17. PhysicsWeb, "Physics and Fame," by Belle Dume', April 27, 2004, http://www.physicsweb.org/article/news/8/4/12, about our work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  18. Felix, the student newspaper of Imperial College, “Fame, I want to study forever…” May 14, 2004, by Steven Mills, about our work, "How Famous is a Scientist? --- Famous to Those Who Know Us," cond-mat/0404515.
  19. Featured in MAA Online, Feb. 1999, by Professor Keith Devlin, "Stardust Equations." http://www.maa.org/devlin/devlin_2_99.html
  20. The BBC TV program "Tomorrow's World" did a short TV segment about my article "Controlling Chaotic Orbits to the Moon through Recurrence," entitled "Fly me cheaply to the Moon" in the style of a PBS "Nova" program, broadcast in Great Britain on December, 1995.
  21. World Service Radio, BBC, a two minute radio broadcast about "Controlling Chaotic Orbits to the Moon through Recurrence," translated into several languages and broadcast globally, December, 1995.
  22. Marcus Chown, "Fly me Cheaply to the Moon," New Scientist, October, 1995. A British magazine article about, "Controlling Chaotic Orbits to the Moon through Recurrence".
  23. Dominique Galland, "La Lune Pour Pas Cher," Science & Vie Junior, December, 1995. A French magazine article about, "Controlling Chaotic Orbits to the Moon through Recurrence".
  24. Staff author, "Space Trip Via Chaotic Orbit," Geo, April, 1996. A Korean magazine article about, "Controlling Chaotic Orbits to the Moon through Recurrence".
  25. Chris Logan, "Chaos Might Open an Avenue to the Moon," Colorado Daily-Science, Weekend Edition, November, 1995. A newspaper article about the work in "Controlling Chaotic Orbits to the Moon through Recurrence".

Conferences, Invited Lectures, and Travel

Rochester Institute of Technology, Mathematics Department Colloquium, Spring 2008, "Modeling and comparing non-conjugate systems-- Mostly Conjugate ."

AMS Spring Eastern Meeting, Courant Institute, Workshop on Dynamical Systems and Applications, 2008, "Modeling and comparing non-conjugate systems-- Mostly Conjugate ."

Banff Research Centre, Canada, Workshop on Dynamical Systems and Applications, 2007, "Modeling and comparing non-conjugate systems-- Mostly Conjugate ."

SIAM Dynamical Systems Conference, Snowbird, Utah, 2007, "Measurable Dynamics, Partitions, Basin Information and Other Ergodic Quantification of Dynamical Systems, with Measures of Model Quality."

Banff Research Centre, Canada, Workshop on Measurable Dynamics: Theory and Applications, August, 2006, "Mostly Conjugate: Relating Dynamical Systems — Beyond Homeomorphism."

Invited talk at, "Cycles, Communities, Ergodicity and Communications in Network Topologies," talk in a four-week activity on "Dynamics on Complex Networks and Applications" the Max Planck Institute for the Physics of Comp Cycles, Communities, Ergodicity and Communications in Network Topologieslex Systems, Dresden, Germany, February 6-March 3, 2006

Invited one hour talk IPAM summer school, "Cycles, Communities, Ergodicity and Communications in Network Topologies," Graduate Summer School: Intelligent Extraction of Information from Graphs and High Dimensional Data, UCLA, July 2005.

Seminar Talk, "Chaos: Much ado about order," SUNY Potsdam, REU Mathematics Seminar, July 2005.

SIAM Dynamical Systems Conference, Snowbird, Utah, 2005, "Symbolic Dynamics in Stochastic Dynamical Systems: A Way to Define Their Markov Partitions."

SIAM Dynamical Systems Conference, Snowbird, Utah, 2005, "Proof of Communication and Synchronization in Disconnected But Fast Moving-Neighborhood Networks."

Colloquium Talk, "Theory, Society, Ergodicity and Communications in Network Topologies. How famous is a Scientist?," Perimeter Institute for Theoretical Physics, Waterloo, Canada, Complexityy and Networks Series, June 2005.

Seminar Talk, "Constructing constrained invariant sets in multi-scale continuum systems," Clarkson University, Mathematics Seminar, Feb 2005.

Colloquium Talk, "A Transfer Operator Approach to Transport and Control of Deterministic and Stochastic Dynamical Systems," Cornell University, October, 2003.

Colloquium Talk, "Constructing constrained invariant sets in multi-scale continuum systems,"  Clarkson University, Mechanical Engineering Department, November, 2003.

Colloquium Talk, "Chaos Communication by Feedback Control of Symbolic Dynamics What topological information about a dynamical systems measured/course-grained relative to a generating partition," Clarkson University, Electrical Engineering Department, November 2003.

SIAM Dynamical Systems Conference, Snowbird, Utah, 2003, "How Hot is Hot? Modeling, Measurement and the Role of Partition Placement."

SIAM Dynamical Systems Conference, Snowbird, Utah, 2003, "An Evolution Operator Approach to Stochastic Transport.."

SIAM Dynamical Systems Conference, Snowbird, Utah, 2003, "Communication and Synchronization in Disconnected Networks with  Dynamic Topology: Moving Neighborhood Networks."

Joint Meetings Baltimore, Jan 2003, invited AMS-SIAM Special Session on Dynamical Systems and Oceanography, An Evolution Operator Approach to Stochastic Transport.

Colloquium Talk, Colloquium, U. Indiana, Bloomington, Feb 3., 2003. TBA.

 Plenary Speaker, "How Hot is Hot? Modeling, Measurement and the Role of Partition Placement." ISM 2001, Montreal, Canada, May 10-12, 2002.

Invited Speaker, TBA at, "Analogies Between Computer Viruses, Biological Viruses, and Their Associated Immune Systems"  Special Focus on "Mathematical Models and Methods in Epidemiology" DIMACS at Rutgers U., June 10-14, 2002.

Colloquium Talk, “Transport and Global Control: Applications of  the Frobenius-Perron Operator in  Deterministic and Stochastic  Dynamical Systems,” Clarkson University, January 2002.

Colloquium Talk, “Transport and Global Control in  Deterministic and Stochastic  Dynamical Systems,” Duke University, January 2002.

Colloquium Talk, “Transport and Global Control in  Deterministic and Stochastic  Dynamical Systems,” William and Mary University, January 2002.

 Invited Center for Nonlinear and Complex Systems seminar, "Density Transport and Control: Applications of the Frobenius-Perron Operator in Deterministic and Stochastic Dynamical Systems," Duke University, Oct 22, 2001.

 “Reconstruction of Evolving, Non-Convex Curves from a Sequence of Single-Angle Projections ,” SIAM: Imaging Science 2001, Sept 22 Boston.

Invited Colloquium.  "Combinatorial Control of Global Dynamics in a Chaotic Differential Equation," Worcester Polytechnical Institute, MA, April, 2001.

Invited Plenary Talk.  "What Symbolic Dynamics Do We Get With A Misplaced Partition? On the Validity of Threshold Crossings Analysis of Chaotic Time-Series," American Physical Society Meetings, Seattle Washington, March 2001.

 "A New and Simple Chaos Toy," at Dynamics Days 2001, UNC, Chapel Hill, January, 2001.

 "Are Threshold Crossings Reasonable?" at the Pacific Rim Dynamical Systems Conference (DS00), Maui, Hawaii, August, 2000.

 "Combinatorial Control of Global Dynamics: Theory and Experiment" at the Pacific Rim Dynamical Systems Conference (DS00), Maui, Hawaii, August, 2000.

 "Low Dimensional Chaos in High Dimensional Phase Space. How Does it Occur?," at the Pacific Rim Dynamical Systems Conference (DS00), Maui, Hawaii, August, 2000.

  "Controlling Invariant Density: An  Solution to the Inverse Frobenius-Perron Problem," ISCAS2000-IEEE International Symposium on Circuits and Systems, Geneva Switzerland, June, 2000.

Chaos Brown Bag Lunch, University of Maryland, " On the Inverse Frobenius-Perron Problem: Control of Chaos by Stabilization of Invariant Measures," April 27, 2000.

 Invited Colloquium Lecture, George Washington University, " On the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," November 19, 1999.

 Invited Lecture, University of Denver, " Chaos, Control: Opposite sides of the same coin" October 22, 1999.

 

  "Model Selection, Confidence, and Scaling in Predicting Chaotic Time-Series," 5th Experimental Chaos Conference; June 28-July 1, 1999.

 

 "Model Selection, Confidence, and Scaling in Predicting Chaotic Time-Series," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1999.

 

 "Dynamics of coding in communicating with chaos," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1999.

 

  "Optimal Targeting," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1999.

 

  "On the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1999.

 

 Chaos Brown Bag Lunch, University of Maryland, " Model Selection, Confidence, and Scaling in Predicting Chaotic Time-Series," April 22, 1999.

 

 Invited Colloquium Lecture, University of Kansas at Lawrence, " On the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," February, 26 1999.

 

 Invited Colloquium Lecture, George Mason University, " On the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," February, 12 1999.

 

Math Club, USNA, "Chaos, Control: Opposite sides of the same coin," November, 1998.

 

 Invited Colloquium Lecture, Applied Mathematics Department, University of Colorado, Boulder, "On the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," October, 23, 1998.

 

"On the Inverse Frobenius-Perron Problem: Global Stabilization of Arbitrary Invariant Measures," Math Colloquium, USNA, MD, October 1998.

 

 "Coding, Channel Capacity, and Noise Resistance in Communicating with Chaos," ISCAS98-NPS-IEEE International Symposium on Circuits and Systems, Monterey, CA, May, 1998.

 

 "Controlling Hamiltonian Chaos Through Recurrence: A Low Energy Transfer Orbit to the Moon," Math Colloquium, USNA, MD, April, 1998.

 

Chaos Brown Bag Lunch, University of Maryland, "Optimal Targeting of Chaos," April, 1998.

 

 Chaos Brown Bag Lunch, University of Maryland, "Coding, Channel Capacity, and Noise Resistance in Communicating with Chaos," October 9, 1997.

 

 "Learning the Grammar of a Chaotic Dynamical System in a Format Suitable for Controlling Symbol Dynamics and Communications," First International Conference on Controlling Chaotic Oscillations, St. Petersburg, Russia, August, 1997.

 

 "Encoding Information in Chemical Chaos by Controlling Symbolic Dynamics," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1997.

 

 "Controlling the Chaotic Logistic Map," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1997.

 

"Channel Capacity versus Noise Resistance trade-off in Communicating with Chaos," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1997.

 

 Invited Colloquium Lecture, Mathematics Department, US Naval Academy, Annapolis, MD, "Communicating With a High Power Digital Transmitter Using Only Small Power Variations Through Control of Chaos," April, 1997.

 

Invited Colloquium Lecture, Mathematics Department,Western Washington University, Bellingham, WA, "Learning, Predicting and Controlling Chaos," and "A Low Energy Transfer Orbit to the Moon," March, 1997.

 

 Invited Colloquium Lecture, Mathematics Department, Rose Hulman Institute of Technology, Terre-Haute IN, "Learning, Predicting and Controlling Chaos," February, 1997.

 

"Communicating With a High Power Digital Transmitter Using Only Small Power Variations Through Control of Chaos," 4th Annual ARL/USMA Technical Symposium, Aberdeen Proving Ground, MD and West Point, NY, November 30, 1996.

 

Invited Colloquium Lecture, Kansas Institute for Theoretical and Computational Science, University of Kansas at Lawrence, "A Low Energy Transfer Orbit to the Moon," September 13, 1996.

 

  Invited Colloquium Lecture, Mathematics Department, Boston University, "Controlling Chaos," February 19, 1996.

 "Learning, Predicting, and Controlling Chaotic Dynamical Systems," Center for Faculty Development, Department of Mathematical Sciences, USMA, West Point, November, 1995.

 

 "Targeting Chaotic Orbits to the Moon through Recurrence," at the SIAM Dynamical Systems Conference, Snowbird, UT, May, 1995.

 

Presented "Controlling Chaos through Recurrence" at "Los Alamos Days" conference, Los Alamos, NM, May, 1994.   

 

Attended "Midwest Dynamical Systems Conference,” at University of Colorado at Boulder, April, 1993.

 

Traveled to Warwick University, Coventry, England, for  the fall semester as a guest of Professor Robert MacKay,  September to December, 1993.

 

Canadian supported travel to Concordia University, Quebec Canada to collaborate with Professor P. Gora and Professor A. Boyarsky, December 13-16, 1999.

 

 

Service, Committees and Experience

·       Clarkson University, Graduate Committee Chair, 2003-

      Clarkson University, Library Committee, 2003-

      Clarkson University, Undergraduate Recruiting Committee, 2003-

      Faculty Representative to the Clarkson University Rowing Team, 2002-

      Clarkson University, official senior faculty mentor to two assistant professors in MCS, 2003.

      Clarkson University, Undergraduate and Graduate Advisor.

U   USNA Applied Mathematics Committee, Chair, 1999. - see web page at: http://appm.mathsci.usna.edu/

·         USNA Mathematics Honors Committee.

·         USNA Mathematics Hiring Committee.  

·         USNA Mathematics Open House Steering Committee

·         USNA Mathematics Awards Committee. 

·         USNA Computational Science and Engineering (CSE) Committee – Interdepartmental Course Development, and Interdisciplinary Initiative.

·         USNA Midshipmen Character Development Seminar.  

·         USNA Plebe Advisor.

·         Vice President AY98-99 and then Treasurer AY99-00 of the USNA chapter of Sigma Xi.

·         Founded the USNA “Chaos Laboratory." http://mathweb.mathsci.usna.edu/faculty/bolltem/chaos_main.html.

·         Supported visiting sabbatical Associate Professor Aaron Klebanoff, from the Rose-Hulmann Institute of Technology.  AY99-00.  Supported by candidate's NSF grant DMS-9704639.

·         USNA Math Majors Advisor.

·         Manned the Mathematics EI Lab for 1 hour/week during the Fall semester 2000, Fall semester 1999, Fall semester 1998, Spring semester 1998, Fall semester 1997.

·         Initiated and designed first USNA Math Department T-shirt.

·         Organizer, Math Awareness Week Organizer for West Point, April 1996, Theme: Mathematics of Decision Making.

·         Co-organizer, Project INTERMATH ILAP production consortium conference, November 16-18, 1996.

·         Mathematical competitions in modeling, undergraduate mathematics majors department team coach and organizer, 1996-1997.

 

Member of

1.   Society for Industrial and Applied Mathematicians (SIAM) and SIAM Activity Group on Dynamical Systems,

2.   American Physical Society (APS).

 

    Refereed many papers for the following journals:

International Journal of Bifurications and Chaos, Physica D, Physics Letters A, American Journal of Physics, Physical Review Letters, Physical Review E, PRIMUS, ISCAS'00 Conference Proceedings., IEEE Transactions on Circuits and Systems, CHAOS

 

Work History

Clarkson University, Potsdam, NY.  2002 to present. Full Professor since 2006. Associate Professor 2002-2006, Mathematics and Computer Science Department, and Physics Department.

Los Alamos National Laboratories, Consultant Visiting Scientist, Computational Science Methods Group (X-8), 2001-continuing.

Efecta Technologies, Colorado Springs, CO.  2002.  Consultant on Image Compression Algorithms.

United States Naval Academy, Annapolis, MD. 2000 to 2002. Associate Professor, Mathematics Department

United States Naval Academy, Annapolis, MD. 1997 to 2000. Assistant Professor, Mathematics Department

United States Military Academy, West Point, NY. 1995 to 1997. Assistant Professor, Department of Mathematical Sciences

Army Research Labs, Directorate of Signals and Information Technology, Adelphi, MD. 1996. Research consultant on low energy communications through controlling chaos.

University of Colorado at Boulder, Boulder, CO. 1993 to 1995. Research Assistant as a National Science Foundation graduate trainee fellow under Dr. James Meiss. We studied chaotic Hamiltonian dynamics, K.A.M. theory, controlling chaos and time-series embedding.

U.S. West Advanced Technologies, Boulder, CO. Summer 1993. Mathematical Modeling group member. I designed a large queuing network model of the phone company for the purpose of their systems optimization. This was implemented in the discrete simulation language SIMSCRIPT.

University of Colorado at Boulder, Boulder, CO. 1990 to 1993. Recitation Instructor for seven semesters.

Lawrence Berkeley Laboratory, X-Ray Optics Group, Berkeley, CA. 1987 to 1990. Research Assistant for Dr. Kwang-Je Kim. We modeled the resonant modes of a free electron laser cavity.

Institute for Defense Analysis, Arlington, VA. Summer 1986. Computer Programmer and Systems Operator.

National Institutes of Health, Bethesda, MD, 1985. Nuclear Medicine group member, responsible for managing and processing of nuclear magnetic resonance (NMR) imaging data.

University of Maryland, Plasma Energy Fusion Research Laboratory, College Park, MD. Summers of 1984 and 1985. Research Assistant, computer programmer, and machine shop technician for Dr. William Destler.

Avante-Garde Creations, Eugene, OR. 1984. Independent computer programmer. I created "Trompers," a 6502 machine language arcade game published for the Apple II+ and Atari 800.

 

 

Scientific Computing Experience

 

I have substantial computer experience, including extensive experience in the languages: C, Fortran, Pascal, ADA, SIMSCRIPT, 6502 machine language, Mathematica, Maple, MatLab and MathCad.  I have also spent time working on the following platforms and operating systems:  VMS, UNIX, DOS, Windows 3.1, Windows 95/98/NT, and Silicon Graphics including the forms graphics library.

Outside Interests

Cycling including velodrome (track) racing, speed skating, cross country skiing, rowing, sea kayaking, choir. In 1991, I was a collegiate national cycling champion.

When I first got to USNA photo

Here I am in 1973 at USNA. Above left is just after I joined the sailing team. Above right is me in front of Chauvenet Hall, right after I joined the faculty, not too long after I graduated from grad school, and just before my first Nobel prize.

photo

Here I am in 1971. In this picture, I am conferring with current faculty member at USNA, and a former colleague of mine (can you guess who?). We are discussing one of my then interests of Newton's polytopes and multidimensional resultants, while he gave me a horse ride.

 

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