ENGLISH

Stochastic and Chaotic Oscillations

By P. S. Landa (auth.) , Yu. I. Neimark

Book information

Publisher
Springer Netherlands
Year
1992
ISBN
978-94-010-5146-0, 978-94-011-2596-3
DOI
10.1007/978-94-011-2596-3
Language
english
Format
PDF
Filesize
17 MB (17405906 bytes)
Series
Mathematics and Its Applications Soviet Series 77
Edition
1
Pages
500\509
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Probability Theory and Stochastic Processes; Appli

Description

This volume is devoted to stochastic and chaotic oscillations in dissipative systems. Chapter 1 deals with mathematical models of deterministic, discrete and distributed dynamical systems. In Chapter 2, the two basic trends of order and chaos are considered. The next three chapters describe stochasticity transformers, amplifiers and generators, turbulence, and phase portraits of steady-state motions and their bifurcations. Chapter 6 treats the topics of stochastic and chaotic attractors, and this is followed by two chapters dealing with routes to chaos and the quantitative characteristics of stochastic and chaotic motions. Finally, Chapter 9, which comprises more than one-third of the book, presents examples of systems having chaotic and stochastic motions drawn from mechanical, physical, chemical and biological systems. The book concludes with a comprehensive bibliography. For mathematicians, physicists, chemists and biologists interested in stochastic and chaotic oscillations in dynamical systems.

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