Lecturer:Panos Kevrekidis
Class Meetings:TTh 11:30-12:45, LGRT 145
PK's Office Hours: W: 11:00 a.m.-1:00 p.m., Th: 1:00 p.m. -- 2:30 p.m., or by appointment.
PK's Contact Info:
Office:LGRT 1524
Phone:413-577-1977
Fax:413-545-1801
E-mail: kevrekid@math.umass.edu
Mailbox:LGRT 1623D

Handouts:

General Information Handout

Notes for the Pendulum/Spring/Quadrature Discussion

Review Practice Problems for the Midterm (to be done on 10/17)

Review Practice Problems for the Final Exam (to be done on 12/18)


Assignments:

Assignment 1: Due Thursday, September 13

Assignment 2: Due Thursday, September 20

Assignment 3: Due Thursday, September 27

Assignment 4: Due Thursday, October 4

Assignment 5 and 6: Due Thursday, October 18 (for 3.7, 5.1) and Thursday, October 25 (for 5.2, 5.3)

Assignment 7: Due Thursday, November 1

Assignment 8: Due Tuesday, November 13

Assignment 9: Due Tuesday, November 27

Assignment 10 and 11: Due Tuesday, December 4 and Tuesday, December 11 (respectively)


Downloads / Matlab Computations:

Two codes for the numerical solution of ODEs by

John Polking

of Rice University are:

pplane8.m for planar systems

odesolve.m for higher-order autonomous systems

A few introductory links for Matlab:

A basic tutorial for Matlab

A Matlab Tutorial by Peter Turner of Clarkson University

A Matlab Tutorial by Monica Nitsche of the University of New Mexico

The Rossler code

and

The Lorenz code

and

The Linear Spring code

and

The Pendulum code

and

their integrator used in class

A code to iterate the logistic map for different r's to observe the chaos/self-similarity/fractal nature and period doublings

The simple 1-equation Newton code presented in class

The generalization of Newton to 2 equations

The Runge-Kutta integrator for the 2-equation system

An interesting discussion of dynamical models of love by J.C. Sprott

A discussion of the dynamical models associated with Catastrophe Theory by E.C. Zeeman