Dynamical Systems with Applications using MATLAB (R)

Preface.- A Tutorial Introduction to MATLAB (R).- Linear Discrete Dynamical Systems.- Nonlinear Discrete Dynamical Systems.- Complex Iterative Maps.- Electromagnetic Waves and Optical Resonators.- Fractals and Multifractals.- The Image Processing 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 Hilbert's Sixteenth Problem.- Neural Networks.- Chaos Control and Synchronization.- Binary Oscillator Computing.- SIMULINK (R).- Examination-Type Questions.- Solutions to Exercises.- Index.

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• Matemática para engenheiros
• Física estatística
• Matemática aplicada
• Ciência não-linear
• Cálculo diferencial e equações
• Física estatística

Groebner bases;MATLAB;MuPad;SIMULINK;chaos control and synchronization;dynamical systems;image processing;mathematical methods in engineering;mathematical modeling;normal forms;ordinary differential equations;perturbation