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Dynamical systems with applications using Mathematica

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Cover of '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 Linear Discrete Dynamical Systems
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    Chapter 13 Nonlinear Discrete Dynamical Systems
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    Chapter 14 Complex Iterative Maps
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    Chapter 15 Electromagnetic Waves and Optical Resonators
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    Chapter 16 Fractals and Multifractals
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    Chapter 17 Chaos Control and Synchronization
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    Chapter 18 Neural Networks
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    Chapter 19 Examination-Type Questions
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    Chapter 20 Solutions to Exercises
Attention for Chapter 6: Hamiltonian Systems, Lyapunov Functions, and Stability
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