Nonuniform hyperbolicity dynamics of systems with nonzero Lyapunov exponents

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 -- Sm...

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1. Verfasser: Barreira, Luis (VerfasserIn)
Weitere Verfasser: Pesin, Yakov B. (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Cambridge u.a. Cambridge University Press 2007
Schriftenreihe:Encyclopedia of mathematics and its applications 115
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Beschreibung
Zusammenfassung: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
Beschreibung:Includes bibliographical references and index
Beschreibung:XIV, 513 S.
graph. Darst.
ISBN:9780521832588
978-0-521-83258-8
0521832586
0-521-83258-6