2010

Dynamical Systems with Applications using Maple¿

Authors:

ISBN: 978-0-8176-4389-8 (Print) 978-0-8176-4605-9 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages i-xv

  2. No Access

    Book Chapter

    Pages 1-15

    A Tutorial Introduction to Maple

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    Book Chapter

    Pages 17-42

    Differential Equations

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    Book Chapter

    Pages 43-69

    Planar Systems

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    Book Chapter

    Pages 71-85

    Interacting Species

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    Book Chapter

    Pages 87-111

    Limit Cycles

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    Book Chapter

    Pages 113-127

    Hamiltonian Systems, Lyapunov Functions, and Stability

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    Book Chapter

    Pages 129-145

    Bifurcation Theory

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    Book Chapter

    Pages 147-171

    Three-Dimensional Autonomous Systems and Chaos

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    Book Chapter

    Pages 173-196

    Poincaré Maps and Nonautonomous Systems in the Plane

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    Book Chapter

    Pages 197-218

    Local and Global Bifurcations

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    Book Chapter

    Pages 219-241

    The Second Part of Hilbert’s Sixteenth Problem

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    Book Chapter

    Pages 243-261

    Linear Discrete Dynamical Systems

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    Book Chapter

    Pages 263-295

    Nonlinear Discrete Dynamical Systems

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    Book Chapter

    Pages 297-307

    Complex Iterative Maps

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    Book Chapter

    Pages 309-335

    Electromagnetic Waves and Optical Resonators

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    Book Chapter

    Pages 337-370

    Fractals and Multifractals

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    Book Chapter

    Pages 371-393

    Chaos Control and Synchronization

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    Book Chapter

    Pages 395-426

    Neural Networks

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    Book Chapter

    Pages 427-444

    Simulation

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    Book Chapter

    Pages 445-451

    Examination-Type Questions

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