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Lyapunov exponents

Barreira, Luis.

Lyapunov exponents

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lyapunov exponentsby Luis Barreira.
作者:	Barreira, Luis.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xi, 273 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Lyapunov exponents.
電子資源:	http://dx.doi.org/10.1007/978-3-319-71261-1
ISBN:	9783319712611$q(electronic bk.)

Lyapunov exponents
Barreira, Luis.

Lyapunov exponents[electronic resource] /by Luis Barreira. - Cham :Springer International Publishing :2017. - xi, 273 p. :ill., digital ;24 cm.

Introduction -- Part I - Basic Theory -- Lyapunov Exponents and Regularity -- Sequences of Matrices -- Linear Differential Equations -- Part II - Further Topics -- Singular Values -- Characterizations of Regularity -- Part III - Hyperbolicity and Ergodic Theory -- Tempered Dichotomies -- Lyapunov Sequences -- Cocycles and Lyapunov Exponents -- Lyapunov Functions and Cones -- Part IV - Multifractal Analysis -- Entropy Spectrum -- Accumulation Sets.

This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs. The book is intended for all researchers and graduate students specializing in dynamical systems who are looking for a comprehensive overview of the foundations of the theory and a sample of its applications.

ISBN: 9783319712611$q(electronic bk.)

Standard No.: 10.1007/978-3-319-71261-1doiSubjects--Topical Terms:

742215
Lyapunov exponents.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Lyapunov exponents
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245 1 0 $a Lyapunov exponents $h [electronic resource] / $c by Luis Barreira.
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505 0 $a Introduction -- Part I - Basic Theory -- Lyapunov Exponents and Regularity -- Sequences of Matrices -- Linear Differential Equations -- Part II - Further Topics -- Singular Values -- Characterizations of Regularity -- Part III - Hyperbolicity and Ergodic Theory -- Tempered Dichotomies -- Lyapunov Sequences -- Cocycles and Lyapunov Exponents -- Lyapunov Functions and Cones -- Part IV - Multifractal Analysis -- Entropy Spectrum -- Accumulation Sets.
520 $a This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs. The book is intended for all researchers and graduate students specializing in dynamical systems who are looking for a comprehensive overview of the foundations of the theory and a sample of its applications.
650 0 $a Lyapunov exponents. $3 742215
650 0 $a Differential equations. $3 183925
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-71261-1
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