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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Fractal Dimensions for Poincare Recurrences: Volume 2

Fractal Dimensions for Poincare Recurrences: Volume 2

Afraimovich, Valentin
Ugalde, Edgardo
Urias, Jesus

Hardcover

Series: Monograph Nonlinear Science and Complexity, Book 2

General MathematicsPhysics

ISBN10: 0444521895
ISBN13: 9780444521897
Publisher: Elsevier Science
Published: Jul 1 2006
Pages: 258
Weight: 1.13
Height: 0.60 Width: 6.04 Depth: 9.20
Language: English
This book is devoted to an important branch of the dynamical systems theory: the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details of proofs. The only prerequisites are a basic knowledge of analysis and topology. Thus this book can serve as a graduate text or self-study guide for courses in applied mathematics or nonlinear dynamics (in the natural sciences). Moreover, the book can be used by specialists in applied nonlinear dynamics following the way in the book. The authors applied the mathematical theory developed in the book to two important problems: distribution of Poincare recurrences for nonpurely chaotic Hamiltonian systems and indication of synchronization regimes in coupled chaotic individual systems.

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