Juri I. Neimark, P.S Landa

Stochastic and Chaotic Oscillations

• Broschiertes Buch

Produktbeschreibung

'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.

Produktdetails

• Mathematics and Its Applications 77
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-94-010-5146-0
• Softcover reprint of the original 1st ed. 1992
• Seitenzahl: 516
• Erscheinungstermin: 5. November 2012
• Englisch
• Abmessung: 240mm x 160mm x 28mm
• Gewicht: 815g
• ISBN-13: 9789401051460
• ISBN-10: 9401051461
• Artikelnr.: 39915946

Inhaltsangabe

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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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.