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Nonuniform Hyperbolicity

Dynamics of Systems with Nonzero Lyapunov Exponents

Language EnglishEnglish
Book Hardback
Book Nonuniform Hyperbolicity Luis BarreiraYakov Pesin
Libristo code: 02045875
Publishers Cambridge University Press, September 2007
Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this... Full description
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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. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmüller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrödinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields.

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About the book

Full name Nonuniform Hyperbolicity
Language English
Binding Book - Hardback
Date of issue 2007
Number of pages 528
EAN 9780521832588
ISBN 0521832586
Libristo code 02045875
Weight 988
Dimensions 241 x 167 x 39
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