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Dynamical systems with applications using MAPLE

Author: Stephen Lynch
Publisher: Boston : Birkhäuser, ©2001.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Suitable for many kinds of dynamical systems courses, this book shows the power of using a computer algebra program to study dynamical systems. It provides an introduction to the theory of dynamical  Read more...

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Document Type: Book
All Authors / Contributors: Stephen Lynch
ISBN: 0817641505 9780817641504 3764341505 9783764341503 9780521552035 0521552036
OCLC Number: 807391230
Description: XIII, 398 p. : il
Contents: 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.- Simulation.- Examination-Type Questions.- Solutions to Exercises.- References.- Maple Program Index.- Index.
Responsibility: Stephen Lynch.

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"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, Read more...

 
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