A Dynamical Systems Package Running Under Mathematica

This package contains routines for integrating and plotting solutions of systems of nonlinear ordinary differential equations. The package runs under Mathematica 4 or 5. The notebooks are in Mathematica 5 form, but they can be used in Mathematica 4 (in spite of the warning message that Mathematica gives). The code is fully documented. The package contains 21 tutorial notebooks. The titles of those tutorials give 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 Maps; A Single First-Order Equation; Transformations of Systems; Choosing a Time Step. A number of sample applications are included in addition to the tutorials.