Lyapunov Exponents / by Luís Barreira.

Format:

Book

Author/Creator:

Barreira, Luís., Author.

Language:

English

Subjects (All):

Dynamics.

Ergodic theory.

Dynamical Systems and Ergodic Theory.

Local Subjects:

Dynamical Systems and Ergodic Theory.

Physical Description:

1 online resource (XI, 273 p.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-71261-6