Book 2014

Dynamical Systems with Applications using MATLAB®

Authors:

ISBN: 978-3-319-06819-0 (Print) 978-3-319-06820-6 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages i-xv

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    Chapter

    Pages 1-14

    A Tutorial Introduction to MATLAB

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    Chapter

    Pages 15-32

    Linear Discrete Dynamical Systems

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    Chapter

    Pages 33-65

    Nonlinear Discrete Dynamical Systems

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    Chapter

    Pages 67-78

    Complex Iterative Maps

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    Chapter

    Pages 79-105

    Electromagnetic Waves and Optical Resonators

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    Chapter

    Pages 107-138

    Fractals and Multifractals

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    Chapter

    Pages 139-150

    The Image Processing Toolbox

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    Chapter

    Pages 151-178

    Differential Equations

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    Chapter

    Pages 179-205

    Planar Systems

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    Chapter

    Pages 207-221

    Interacting Species

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    Chapter

    Pages 223-247

    Limit Cycles

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    Chapter

    Pages 249-263

    Hamiltonian Systems, Lyapunov Functions, and Stability

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    Chapter

    Pages 265-282

    Bifurcation Theory

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    Chapter

    Pages 283-309

    Three-Dimensional Autonomous Systems and Chaos

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    Chapter

    Pages 311-334

    Poincaré Maps and Nonautonomous Systems in the Plane

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    Chapter

    Pages 335-354

    Local and Global Bifurcations

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    Chapter

    Pages 355-376

    The Second Part of Hilbert’s Sixteenth Problem

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    Chapter

    Pages 377-411

    Neural Networks

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    Chapter

    Pages 413-434

    Chaos Control and Synchronization

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    Chapter

    Pages 435-455

    Binary Oscillator Computing

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