Discrete Dynamical Systems and Difference Equations with Mathematica

Discrete Dynamical Systems and Difference Equations with Mathematica

CRC Press

This is both an introductory survey on the theory and techniques of discrete dynamical systems and difference equations and a users' manual for the software package Dynamica, developed by the authors. The Dynamica package is based on the Mathematica software and is designed as a collection of tools for studying discrete dynamical systems and difference equations. Available for download from the Internet, it is simple to use and gives users a series of algebraic, numerical, and graphical techniques they can quickly learn to employ to study complex difference equations. The book includes exercises and research projects based on applications encountered in biology and economics. > \nFollowing the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov expono

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