Bibliographic Information

Stochastic and chaotic oscillations

by Yu.I. Neimark and P.S. Landa

(Mathematics and its applications, . Soviet series ; v. 77)

Kluwer Academic Publishers, c1992

Other Title

Stokhasticheskie i khaoticheskie kolebanii︠a︡

Stokhasticheskie i khaoticheskie kolebanii︠a︡. English

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Note

Includes bibliographical references (p. 443-498) and index

Description and Table of Contents

Description

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.

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