FRACTAL DIMENSIONS FOR POINCARE RECURRENCES by Valentin Afraimovich, Edgardo Ugalde, Jesus Urias ( 9780444521897 )

Item Details

Title:

FRACTAL DIMENSIONS FOR POINCARE RECURRENCES

Volume:

Volume 2

By:

Valentin Afraimovich, Edgardo Ugalde, Jesus Urias

Format:

Hardback

List price:	£149.00
Our price:	£149.00

ISBN 10:

0444521895

ISBN 13:

9780444521897

Availability:

This item will be printed on demand and will usually be dispatched within 10 days.

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Stock:

Currently 0 available

Publisher:

ELSEVIER SCIENCE & TECHNOLOGY

Pub. date:

21 June, 2006

Series:

Monograph Series on Nonlinear Science and Complexity

Pages:

258

Description:

Deals with 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. This book presents rules for action to study mathematical models of real systems. It contains standard theorems of dynamical systems theory.

Synopsis:

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.

Publication:

Imprint:

Elsevier Science Ltd

Returns:

Non-returnable

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