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Fractal dimensions for Poincaré recurrences

Author: Valentin Senderovich Afraimovich; E Ugalde; Jesús Urías
Publisher: Amsterdam ; London : Elsevier, 2006.
Series: Monograph series on nonlinear science and complexity, 2.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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.  Read more...

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Document Type: Book
All Authors / Contributors: Valentin Senderovich Afraimovich; E Ugalde; Jesús Urías
ISBN: 0444521895 9780444521897
OCLC Number: 494408795
Description: 1 volume (XI-245 pages) : illustrations ; 24 cm.
Contents: Preface --
Introduction --
Symbolic systems --
Geometric constructions --
The spectrum of dimensions for Poincaré recurrences --
Uniformly hyperbolic repellers --
Non-uniformly hyperbolic repellers --
The spectrum of a sticky set --
Rhythmical dynamics --
Morkov maps of the interval --
Suspended flows --
Invariant measuresures and Poincaré recurrences --
Dimensions for measures and q-pointwise dimension --
The variational principle --
Intuitive explanation of some notions and results of this book --
Poincaré recurrences in Hamiltonian systems --
Chaos synchronization --
Some known facts about recurrences --
Birkhoff's individual theorem --
The Shannon-McMillan-Breiman theorem --
Amalgamation and fragmentation.
Series Title: Monograph series on nonlinear science and complexity, 2.
Responsibility: V. Afraimovich, E. Ugalde and J. Urías.
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