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Dynamical Systems with Applications Using MATHEMATICA

Stephen Lynch
Publisher: 
Birkhäuser
Publication Date: 
2007
Number of Pages: 
484
Format: 
Paperback
Price: 
59.95
ISBN: 
978-0-8176-4482-6
Category: 
Textbook
We do not plan to review this book.

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

Poincaré 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 Resonators

Fractals and Multifractals

Chaos Control and Synchronization

Neural Networks

Examination-Type Questions

Solutions to Exercises

References

Mathematica Program Index

Index