Deterministic Nonlinear Systems: A Short Course

Preface.- Part I Dynamical Systems.- Stability of Dynamical Systems.- Linear Approach.- Bifurcations of Dynamical Systems.- Dynamical Systems With One Degree of Freedom.- Systems with Phase Space Dimension N>3, Deterministic Chaos.- From Order to Chaos: Bifurcation Scenarios.- 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.- Anishchenko - Astakhov Oscillator of Chaotic Self-sustained Oscillations.- Oscillator of Two-Frequency Quasiperiodic Oscillations.- Synchronization of Periodic Self-sustained Oscillations.- Synchronization of Two-frequency Self-sustained Oscillations.- Synchronization of Chaotic Oscillations.- Recommended Literature.