Dynamical Systems with Applications using MATLAB®

by Stephen Lynch

Preface A Tutorial Introduction to MATLAB® and the Symbolic Math Toolbox Linear Discrete Dynamical Systems Nonlinear Discrete Dynamical Systems Complex Iterative Maps Electromagnetic Waves and Optical Resonators Fractals and Multifractals Controlling Chaos Differential Equations Planar Systems Interacting Species Limit Cycles Hamiltonian Systems, Liapunov Functions, and Stability Bifurcation Theory Three Dimensional Autonomous Systems and Chaos Poincaré Maps and Nonautonomous Systems in the Plane Local and Global Bifurcations The Second Part of David Hilbert's Sixteenth Problem Neural Networks SIMULINK® Solutions to Exercises References MATLAB® Program File Index SIMULINK® Model File Index Index

480 pages, Paperback

First published December 29, 2000