Stochastic and Chaotic Oscillations

Inhaltsverzeichnis

• 1 Mathematical Models of Deterministic Discrete and Continuous Dynamical Systems.
• 2 Order and Chaos as Two General Basic Trends in the Evolution of Dynamical Systems.
• 3 Stochasticity Transformers, Amplifiers and Generators.
• 4 Brief Survey of Studies Related to the Appearance of the Problem of Chaotic and Stochastic Motions and to Turbulence Theory.
• 5 Local Phase Portraits of the Simplest Steady-State Motions and their Bifurcations.
• 6 Stochastic and Chaotic Attractors.
• 7 Bifurcations and Routes to Chaos and Stochasticity.
• 8 Quantitative Characteristics of Stochastic and Chaotic Motions. Some Universal Properties in Order-Chaos and Inverse Transitions.
• 9 Examples of Mechanical, Physical, Chemical, and Biological Systems with Chaotic and Stochastic Motions.