Stochastic and Chaotic Oscillations

Neimark, Yu I.; Landa, P. S.

ISBN 10: 0792315308 / ISBN 13: 9780792315308

Editore: Springer, 1992

Codice articolo 1212123-n

Riassunto:

This volume is devoted to stochastic and chaotic oscillations in dissipative systems. It first deals with mathematical models of deterministic, discrete and distributed dynamical systems. It then considers the two basic trends of order and chaos, and describes stochasticity transformers, amplifiers and generators, turbulence and phase portraits of steady-state motions and their bifurcations. The books also treats the topics of stochastic and chaotic attractors, as well as the routes to chaos and the quantitative characteristics of stochastic and chaotic motions. Finally, in a chapter which comprises more than one-third of the book, examples are presented of systems having chaotic and stochastic motions drawn from mechanical, physical, chemical and biological systems.

Contenuti: 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.

Dati bibliografici

Titolo: Stochastic and Chaotic Oscillations
Casa editrice: Springer
Data di pubblicazione: 1992
Legatura: Rilegato
Condizione: New