Mathematica 9 is now available

Wolfram Library Archive


All Collections Articles Books Conference Proceedings
Courseware Demos MathSource Technical Notes
Title Downloads

DynPac: A Dynamical Systems Package
Author

Alfred Clark Jr.
Organization: University of Rochester
Department: Departments of Mechanical Engineering and Mathematics
URL: http://www.me.rochester.edu/~clark
Old MathSource #

0209-517
Revision date

2000-03-07
Description

This package contains routines for integrating and plotting solutions of systems of nonlinear ordinary differential equations. Documentation is included with the code in the notebooks. The notebook StartHere.nb gives basic instructions for getting started. The package includes 18 tutorial notebooks. We give the titles of those tutorials here as a brief summary of the scope of the package: Introduction to DynPac; Integration and Plotting (2D); Integration and Plotting (3D); Equilibrium and Stability; Local Solution Near Equilibrium Point; Comparison of Integration Methods; Periodic Solutions of Autonomous Systems; Periodic Solutions of Driven Systems; Orbit Trapping and Index Theory; Phase Portraits; Bifurcation Sequences; Liapunov Functions; Coloring and Dashing; The Lorenz Equations; Animating the Lorenz Attractor; Graph Labels; Lag Equations; Iterated Mappings. A number of sample applications are included, some in basic dynamical systems and some in mathematical biology.
Subject

*Mathematics > Calculus and Analysis > Dynamical Systems
Keywords

Dynamical Systems, Equilibrium, Stability, Autonomous Systems, Driven Systems, Bifurcation, Liapunov, Lorenz Attractor, Tutorial, differential equations
Downloads

Download
dynpac4.ZIP (843.6 KB) - Zip archive file
Download
dynpac4.sit (1 MB) - Stuffit archive file