Two codes for the numerical solution of ODEs by John Polking
of Rice University are:
pplane7.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
An online tutorial by Mathworks
A
Matlab Tutorial by Monica Nitsche of the University of New Mexico
The Rossler code
and
The Lorenz code
and
their integrator used in class
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