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Nonuniform Hyperbolicity

Name: Nonuniform Hyperbolicity
Brand: Cambridge University Press
SKU: 02045875
Price: 1100.4 RON
Availability: InStock
Author: Luis BarreiraYakov Pesin
ISBN: 9780521832588

Dynamics of Systems with Nonzero Lyapunov Exponents

Luis BarreiraYakov Pesin

Limba

engleză

Carte Copertă tare

Codul Libristo: 02045875

Editura Cambridge University Press, septembrie 2007

Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this... Descrierea completă

Codul Libristo: 02045875

508 b

1 100.40 lei

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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.