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Sinopsis
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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Reseña del editor
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.
Reseña del editor
'Bt moi ..... si j'avait 50 comment en revenir. je One service IlUllbcmatics has rendered the human race. It has put common sense back n'y ser.lis point a116.' IulesVeme where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded IIOIISCIISC·. Erie T. Bell The series is divergent; thelefore we may be able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari ties abound. Similarly. all kinds of parts of mathematics serve as tools for other parts and for other sci ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser vice topology has rendered mathematical physics .... ; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'8tre of this series.
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