Deterministic Nonlinear Systems

From the Contents: Part I Dynamical Systems.- Stability of Dynamical Systems.- Linear Approach.- Bifurcations of Dynamical Systems.- Dynamical Systems With One Degree of Freedom.- Part II From Order to Chaos: Bifurcation Scenarios.- Robust and Nonrobust Dynamical Systems. Classification of Attractor Types.- Characteristics of Poincare Recurrences.- Fractals in Nonlinear Dynamics.- The Anishchenko-Astakhov Oscillator of Chaotic Self-Sustained Oscillations.- Quasiperiodic Oscillator with Two Independent Frequencies.- Synchronization of Periodic Self-Sustained Oscillations.- Synchronization of Two-Frequency Self-Sustained Oscillations.-Synchronization of Chaotic Oscillations.- References.

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• Modelação matemática
• Dinâmica e vibração
• Mecânica clássica
• Ciência não-linear

Anishchenko-Astakhov Oscillator;Deterministic Chaos Theory;Nonlinear Dynamics Textbook;Oscillations and Synchronization in Complex Systems;Poincare Recurrences;Stability and Bifurcations in Nonlinear Dynamical Systems