Lynch S. Dynamical Systems with Applications using Maple

2nd Edition. — Birkhauser, Springer, 2010. — 511 p. — ISBN: 0817643893.A Tutorial Introduction to Maple, Differential Equations, Planar Systems, Interacting Species, Limit Cycles, Bifurcation Theory, Three-Dimensional Autonomous Systems and Chaos, Fractals and Multifractals, Neural Networks, Examination-Type Questions, Solutions to Exercises
"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple."-UK Nonlinear News (Review of First Edition)"The book will be useful for all kinds of dynamical systems courses... [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments...A Tutorial Introduction to Maple
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 Hilbert’s Sixteenth Problem
Linear Discrete Dynamical Systems
Nonlinear Discrete Dynamical Systems
Complex Iterative Maps
ElectromagneticWaves and Optical Resonators
Fractals and Multifractals
Chaos Control and Synchronization
Neural Networks
Simulation
Examination-Type Questions