APPENDIX 5

OTHER DYNAMICAL SYSTEMS COMPUTER PACKAGES


Some other packages are available for analyzing dynamical systems. Part of the following list can be found in Allgower and Georg(1992).

1. ALCON (Deuflard et al. 1987). This is a continuation method for algebraic equations . Limit points and simple bifurcations can be computed on demand.

2. BIFPACK (Seydel 1991). This is an interactive program forcontinuation of large systems of nonlinear equations. Bifurcation points are also detected.

3. DYNAMICS (Nusse and Yorke 1994). This package iterates maps, solves differential equations, and plots trajectories. It runs on both IBM PCs and UNIX workstations that support X-windows.

4. LOCBIF (Khibnik et al. 1993). This is an interactive program designed for multiparameter bifurcation analysis of equilibrium points, limit cycles, and fixed points of maps. The original package is set up for IBM PCs, but a UNIX version has recently been incorporated into DSTOOL.

5. PATH (Kaas-Petersen 1989). This software package for dynamical systems can apparently handle much larger systems of ordinary differential equations than AUTO.

6. PHASER (Hale and Koçak 1989). This package generates phase portraits for continuous and discrete dynamical systems. It runs on IBM PCs.

7. PITCON (Rheinboldt and Burkardt 1983a, 1983b).This is a Fortran subprogram for continuation of equilibrium points and for detecting limit points.