Dynamical Systems with Applications Using Mathematica®

Table of Contents

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   Book Overview
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   Chapter 1 A Tutorial Introduction to Mathematica
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   Chapter 2 Differential Equations
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   Chapter 3 Planar Systems
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   Chapter 4 Interacting Species
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   Chapter 5 Limit Cycles
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   Chapter 6 Hamiltonian Systems, Lyapunov Functions, and Stability
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   Chapter 7 Bifurcation Theory
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   Chapter 8 Three-Dimensional Autonomous Systems and Chaos
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    Chapter 9 Poincaré Maps and Nonautonomous Systems in the Plane
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    Chapter 10 Local and Global Bifurcations
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    Chapter 11 The Second Part of Hilbert’s Sixteenth Problem
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    Chapter 12 Delay Differential Equations
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    Chapter 13 Linear Discrete Dynamical Systems
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    Chapter 14 Nonlinear Discrete Dynamical Systems
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    Chapter 15 Complex Iterative Maps
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    Chapter 16 Electromagnetic Waves and Optical Resonators
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    Chapter 17 Fractals and Multifractals
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    Chapter 18 Image Processing and Analysis with Mathematica
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    Chapter 19 Chaos Control and Synchronization
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    Chapter 20 Neural Networks
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    Chapter 21 Binary Oscillator Computing
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    Chapter 22 An Introduction to Wolfram SystemModeler
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    Chapter 23 Coursework and Examination-Type Questions
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    Chapter 24 Solutions to Exercises