Nonuniform Hyperbolicity

Name: Nonuniform Hyperbolicity
Brand: Cambridge University Press
SKU: 9780521832588
Price: 185.77 EUR
Availability: InStock

Dynamics of Systems with Nonzero Lyapunov Exponents

Autor: Luis BarreiraYakov Pesin

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

Odosielame za 9-15 dní

185.77 €

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

Informácie o knihe

Autor

Luis BarreiraYakov Pesin

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2007

Stránok

528

EAN

9780521832588

ISBN

0521832586

Enbook ID

02045875

Vydavateľ

Cambridge University Press

Hmotnosť

988

Rozmery

241 x 167 x 39

Kompletný popis

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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Nonuniform Hyperbolicity

Dynamics of Systems with Nonzero Lyapunov Exponents

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