Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. (English) Zbl 0805.58007

Nusse, Helena E.; Yorke, James A.

Applied Mathematical Sciences. 101. New York: Springer-Verlag,. xiii, 484 p. DM 134.00; öS 1045.20; sFr. 134.00 / hbk; DM 84.00; öS 655.20; sFr. 84.00/pbk (1994).

This program (and the accompanying handbook) is a tool to help visualize the properties of discrete and continuous dynamical systems, including the plotting of attractors, basins of attraction, the computing of straddle trajectories, the search for all periodic orbits of a specified period, bifurcation diagrams, the search for stable and unstable manifolds, the calculation of dimensions and Lyapunov exponents etc.
The program provides about 30 maps and differential equations to choose from (e.g., the logistic map, the Lorenz system or Chua’s circuit), one can play around with the parameters, but, unless one invests in an additional C compiler, one can not insert new equations.

Reviewer: K.Brod (Wiesbaden)

MSC:

58-04	Software, source code, etc. for problems pertaining to global analysis
37G99	Local and nonlocal bifurcation theory for dynamical systems
37B99	Topological dynamics
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C70	Attractors and repellers of smooth dynamical systems and their topological structure

Keywords:

structure of attractors; bifurcation theory; chaos

Software:

Dynamics