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.

a UK Nonlinear News (Review of First Edition)

The book will be useful for all kinds of dynamical systems coursesa ]. 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 ] It] is well written and a pleasure to read, which is helped by its attention to historical background.

a Mathematical Reviews (Review of First Edition)

Since the first edition of this book was published in 2001, Maplea has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, GrAbner bases, and chaos synchronization.

The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters.

The book has a hands-on approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the authora (TM)s website. Additional applications and further links of interest may be found at Maplesofta (TM)s Application Center.

Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.

ISBN 978-0-8176-4389-8

A

Also by the author:

Dynamical Systems with Applications using MATLABA(R), ISBN 978-0-8176-4321-8

Dynamical Systems with Applications using MathematicaA(R), ISBN 978-0-8176-4482-6

"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. ¿ [It] is well written and a pleasure to read, which is helped by its attention to historical background."
---Mathematical Reviews (Review of First Edition)
"Dynamical Systems with Applications using Maple" provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and Maplets have also been added. A supplementary e-book with interactive exercises, examples, and solutions will also be published.
The author has gone for breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. The book has a hands-on approach, using Maple as a pedagocial tool throughout. Maple plots with simple commands and programs are listed at the end of each chapter, and along with figures may be viewed at the author¿s website. Additional applications and further links of interest may be found at http://www.maplesoft.com. The text is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.

Preface * A Tutorial Introduction to Maple Toolbox * 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 Resonators * Fractals and Multifractals * Chaos Control and Synchronization * Neural Networks * Maplets * Solutions to Exercises * References * Maple Program File Index * Maple File Index * Index