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Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents

Description: 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 Teichmuller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schroedinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields.

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Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov ExponentsNonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents

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Restocking Fee: No

Return shipping will be paid by: Buyer

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EAN: 9780521832588

UPC: 9780521832588

ISBN: 9780521832588

MPN: N/A

Number of Pages: 528 Pages

Publication Name: Nonuniform Hyperbolicity : Dynamics of Systems with Nonzero Lyapunov Exponents

Language: English

Publisher: Cambridge University Press

Publication Year: 2007

Subject: Differential Equations / General, Mechanics / Dynamics, General

Item Height: 1.3 in

Type: Textbook

Item Weight: 35 Oz

Author: Luis Barreira, Yakov Pesin

Subject Area: Mathematics, Science

Item Length: 9.2 in

Item Width: 6.1 in

Series: Encyclopedia of Mathematics and Its Applications Ser.

Format: Hardcover

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