Professor Erik Bollt, Spring 2008

MA563– Graduate Applied Dynamical Systems - Yup...that includes Chaos.

 

      Homework 0 Assignment (Due Mon, Jan 21) and some useful handouts

      ATTENTION!!! Some of the problems say "Read Carefully" That means that you DO NOT have to do the problems, but I am only asking that you read the question.

     

       Download 1 about Maple in general.

      Download 2 how to use Maple to numerically graph a solution of a one-d ODE, and its vector field, and Download 3 on how to use to plot solutions of the Rossler chaotic system

A brief Matlab Notes by our very own Prof Turner, and also, a longer and very nice Matlab Notes from Gillman at Texas Tech, referred to as (G) in homework assignment with problems.

 

      Homework 1, (Due Mon, Jan 28) and some useful handouts

 

Download 1 A very cool paper about matrix exponentials, Cleve Moler, Charles Van Loan, Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later∗, Vol. 45, No. 1, pp. 3–000, SIAM Review, 2003.

Download2 Some useful information summarizing linear algebra, in case you are rusty.

Download3 An instructive sheet with example, about computing generalized eigenvalues and eigenvectors, from CO, in case you are rusty.

 

      Homework 2, and the second part: Homework2 Part2(Due We, Feb 13) This set is now complete.

 

Download 1 A useful maple worksheet about Picard iteration. See also, Download 1.mws

 

      Homework 3 , (This set is now complete as of 02-15-08): Homework 3 Part 2. This Homework is Due Tu. March 4.

 

Some useful Matlab codes.

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     Homework 4, Due Fri, Mar. 14.

 

Some useful Maple Pendulum Constants of Motion Maple Codes

 

 

     Homework 5, Due Mon April 7

 

Some useful codes

 

Your Exam will be on Fri April 11 at an hour to be negotiated.

 

 

 Your final homework, Homework 6 will be due April 30.

 

Some useful codes