Fractal Dimensions for Poincare Recurrences (Monograph - download pdf or read online

By Valentin Afraimovich,Edgardo Ugalde,Jesus Urias

ISBN-10: 0444521895

ISBN-13: 9780444521897

This e-book is dedicated to a major department of the dynamical structures thought : the learn of the nice (fractal) constitution of Poincare recurrences -instants of time whilst the approach nearly repeats its preliminary kingdom. The authors have been capable of write a completely self-contained textual content together with many insights and examples, in addition to supplying whole info of proofs. the single must haves are a uncomplicated wisdom of study and topology. hence this booklet can function a graduate textual content or self-study consultant for classes in utilized arithmetic or nonlinear dynamics (in the common sciences). furthermore, the publication can be utilized through experts in utilized nonlinear dynamics following the best way within the publication. The authors utilized the mathematical concept constructed within the booklet to 2 very important difficulties: distribution of Poincare recurrences for nonpurely chaotic Hamiltonian structures and indication of synchronization regimes in coupled chaotic person systems.

* parts of the booklet have been released in an editorial that received the identify "month's new scorching paper within the box of arithmetic" in might 2004
* Rigorous mathematical conception is mixed with vital actual applications
* provides ideas for fast motion to review mathematical versions of actual systems
* includes typical theorems of dynamical platforms theory

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Fractal Dimensions for Poincare Recurrences (Monograph Series on Nonlinear Science and Complexity) by Valentin Afraimovich,Edgardo Ugalde,Jesus Urias

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