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Inhaltsangabe
Preface. 1. Mathematical Models of Deterministic Discrete and Distributed 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 Transitions. 9. Examples of Mechanical, Physical, Chemical, and Biological Systems with Chaotic and Stochastic Motions. Bibliography. Index.
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.
Preface. 1. Mathematical Models of Deterministic Discrete and Distributed 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 Transitions. 9. Examples of Mechanical, Physical, Chemical, and Biological Systems with Chaotic and Stochastic Motions. Bibliography. Index.
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.
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