Dynamical Systems with Applications Using Mathematica(r) (Paperback, 2007)

Preface A Tutorial Introduction to Mathematica Differential Equations Planar Systems Interacting Species Limit Cycles Hamiltonian Systems, Lyapunov Functions, and Stability Bifurcation Theory Three-Dimensional Autonomous Systems and Chaos Poincare Maps and Nonautonomous Systems in the Plane Local and Global Bifurcations The Second Part of David Hilbert's Sixteenth Problem Linear Discrete Dynamical Systems Nonlinear Discrete Dynamical Systems Complex Iterative Maps Electromagnetic Waves and Optical ResonatorsFractals and Multifractals Chaos Control and Synchronization Neural Networks Examination-Type Questions Solutions to Exercises References Mathematica Program Index Index