Dynamical Systems with Applications using MAPLE
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Inhalt: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 an...
Inhalt:
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 * Maplets * Solutions to Exercises * References * Maple Program File Index * Maple File Index * Index
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 * Maplets * Solutions to Exercises * References * Maple Program File Index * Maple File Index * Index