Professor Erik M Bollt      

                                                On my way to work.                                                     At work.

Apply For A Post Doc Position in Our Group!

I am a Professor of Mathematics and Computer Science 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.  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 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 networks, and I run a networks group jointly with Professor ben-Avraham of Physics.  I am interested in problems of model reduction, sensing, and predicting bursting as well as predicting nonstationarity.  I am very 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.  I jointly run the iUAV group with Prof Pier Marzocca.

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 and Computer Science Department, Clarkson University, Potsdam, NY. (Associate Professor 2002-2006, Professor 2006-present).

 

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  

 

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

 

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  

   Graduate Students:

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

Sun Jie, PhD student, Clarkson University, 2006- , Network Modeling and Dynamics on Networks.

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.

Joe Kirk, PhD student, Clarkson University, 2003, Random Graphs and Network Modeling in Statistical 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/

 

Research Papers

  1. Jie Sun, Erik M. Bollt, Takashi Nishikawa, "Constructing Generalized Synchronization Manifolds by A Manifold Equation ," Submitted to SIADS, SIAM Dynamical Systems Journal, (2008). pdf

  2. Erik M. Bollt, Joseph D. Skufca, Stephen J McGregor, "Control Entropy: A Complexity Measure for Nonstationary Signals," to appear Mathematical Biosciences and Engineering, (2008). pdf

  3. 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

  4. Jie Sun, James P. Bagrow, Erik M. Bollt, and Joesph D. Skufca, "Dynamic Computation of Network Statistics via Updating Schema ," Submitted to Phys. Rev. E (2008). pdf

  5. 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

  6. Naratip Santitissadeekorn, Douglas Bohl, Erik Bollt, "Analysis and Modeling of an experimental device by finite-time Lyapunov exponent method," to appear (cover article) International Journal of Bifurcations and Chaos (2008). pdf

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

  8. 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," to appear IEEE Trans. on BME. pdf

  9. Erik M. Bollt, Chen Yao, Ira B. Schwartz, "Dimensional Implications of Dynamical Data on Manifolds to Empirical KL Analysis ," Submitted to Physica D, (2008). pdf

  10. Naratip Santitissadeekorn, Erik M Bollt, "Image Edge Respecting Denoising with Edge Denoising by A Designer Nonisotropic Structure Tensor Method," Submitted to Image and Vision Computing, (2007). pdf

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

  12. 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

  13. 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

  14. Erik M. Bollt, Rick Chartrand, Selim Esedoglu, Pete Schultz, Kevin R. Vixie, "Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion ," to appear the Journal of Advances in Computational Mathematics, (A Springer journal) in the special issue on "Mathematical Methods for Image Processing." (2007). pdf

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

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

  21. 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

  22. 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

  23. 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

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

  25. 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

  26. 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

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

  28. 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

  29. Maurizio Porfiri, Daniel J. Stilwell and Erik M. Bollt, "Synchronization in random weighted directed networks ," to appear IEEE Transactions of Circuits and Systems Society, (2007). pdf

  30. 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

  31. 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).

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

  33. R. Chartrand, K. Vixie, B. Wohlberg, E. Bollt, "A gradient descent solution to the Monge-Kantorovich problem ," Submitted to SIAM J. Sci. Comput., (2005). pdf

  34. 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

  35. 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

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

  37. 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

  38. 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

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

  40. 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

  41. 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

  42. 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

  43. 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

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

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

  46. 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

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

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

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

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

  51. 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

  52. 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).

  53. 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

  54. 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

  55. 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:

  56. 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

  57. 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

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

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

  60. 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

  61. 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

  62. 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

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

  64. 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

  65. 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

  66. 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

  67. 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

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

  69. 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

  70. 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

  71. 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

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

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

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

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

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

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

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

  79. 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

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

  81. 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).

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

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

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

Book Chapters

1.      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

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

3.      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. 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
  2. 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.
  3. Daily Courier-Observer, Thurs, April 2005, "Clarkson's Boltt Researches Chaos Theory."
  4. Daily Courier-Observer, Sat., March 19, 205, "Clarkson Professors Study Scale-Free Nets in Journal."
  5. Wired News, “Big Flap Over Future Flight,” by Lakshmi Sandhana,