Fractal Dimensions for Poincare Recurrences (Monograph by Valentin Afraimovich,Edgardo Ugalde,Jesus Urias

By Valentin Afraimovich,Edgardo Ugalde,Jesus Urias

This ebook is dedicated to a tremendous department of the dynamical structures thought : the learn of the fantastic (fractal) constitution of Poincare recurrences -instants of time whilst the approach nearly repeats its preliminary kingdom. The authors have been in a position to write a wholly self-contained textual content together with many insights and examples, in addition to delivering entire info of proofs. the single must haves are a easy wisdom of research and topology. therefore this e-book can function a graduate textual content or self-study consultant for classes in utilized arithmetic or nonlinear dynamics (in the usual sciences). in addition, the ebook can be utilized by way of experts in utilized nonlinear dynamics following the way in which within the ebook. The authors utilized the mathematical conception built within the ebook 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 e-book have been released in a piece of writing that received the identify "month's new scorching paper within the box of arithmetic" in may perhaps 2004
* Rigorous mathematical concept is mixed with very important actual applications
* provides ideas for fast motion to review mathematical types of actual systems
* includes normal theorems of dynamical platforms theory

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