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Nonuniform hyperbolicity : dynamics of systems with nonzero Lyapunov exponents

Author: Luis Barreira; Ya B Pesin
Publisher: Cambridge, NY : Cambridge University Press, 2007.
Series: Encyclopedia of mathematics and its applications, v. 115.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Luis Barreira; Ya B Pesin
ISBN: 9780521832588 0521832586
OCLC Number: 122261902
Description: xiv, 513 pages : illustrations ; 25 cm.
Contents: Concepts of nonuniform hyperbolicity --
Lyapunov exponents for linear extensions --
Regularity of cocycles --
Methods for estimating exponents --
The derivative cocyle --
Examples of systems with hyperbolic behavior --
Stable manifold theory --
Basic properties of stable and unstable manifolds --
Smooth measures --
Measure-theoretic entropy and lyapunov exponents --
Stable ergodicity and lyapunov exponents. more examples of systems with nonzero exponents --
Geodesic flows --
SRB measures --
Hyperbolic measure: entropy and dimension --
Hyperbolic measures: topological properties.
Series Title: Encyclopedia of mathematics and its applications, v. 115.
Responsibility: Luis Barreira, Yakov Pesin.
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Abstract:

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.  Read more...

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'... will be indispensable for any mathematically inclined reader with a serious interest in the subject.' EMS Newsletter

 
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