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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Format: | UnknownFormat |
Sprache: | eng |
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Cambridge u.a.
Cambridge University Press
2007
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Schriftenreihe: | Encyclopedia of mathematics and its applications
115 |
Schlagworte: | |
Online Zugang: | Inhaltsverzeichnis Inhaltstext Publisher description Contributor biographical information |
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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 |
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Beschreibung: | Includes bibliographical references and index |
Beschreibung: | XIV, 513 S. graph. Darst. |
ISBN: | 9780521832588 978-0-521-83258-8 0521832586 0-521-83258-6 |