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Lectures on Lyapunov exponents /

Viana, Marcelo.

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Lectures on Lyapunov exponents /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lectures on Lyapunov exponents // Marcelo Viana.
作者:	Viana, Marcelo.
出版者:	Cambridge ;Cambridge University Press, : 2014.,
面頁冊數:	xiv, 202 p. :ill. ;24 cm.
標題:	Lyapunov exponents. -
ISBN:	9781107081734

Lectures on Lyapunov exponents /
Viana, Marcelo.

Lectures on Lyapunov exponents /Marcelo Viana. - Cambridge ;Cambridge University Press,2014. - xiv, 202 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;145.

Includes bibliographical references (p. 191-197) and index.

Introduction --

The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.

ISBN: 9781107081734US65.00

LCCN: 2014021609Subjects--Topical Terms:

928229
Lyapunov exponents.

LC Class. No.: QA372 / .V53 2014

Dewey Class. No.: 515/.48

Lectures on Lyapunov exponents /
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020 $a 9781107081734 $q (hbk.) : $c US65.00
020 $a 1107081734 $q (hbk.)
020 $a 9781316057964 $q (pbk.)
020 $a 1316057968 $q (pbk.)
020 $a 9781139976602 (ebk.)
020 $a 1139976605 (ebk.)
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050 0 0 $a QA372 $b .V53 2014
082 0 0 $a 515/.48 $2 23
100 1 $a Viana, Marcelo. $3 897483
245 1 0 $a Lectures on Lyapunov exponents / $c Marcelo Viana.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2014.
300 $a xiv, 202 p. : $b ill. ; $c 24 cm.
490 1 0 $a Cambridge studies in advanced mathematics ; $v 145
504 $a Includes bibliographical references (p. 191-197) and index.
505 0 # $t Introduction -- $t Linear cocycles -- $t Extremal Lyapunov exponents -- $t Multiplicative ergodic theorem -- $t Stationary measures -- $t Exponents and invariant measures -- $t Invariance principle -- $t Simplicity -- $t Generic cocycles -- $t Continuity.
520 # $a The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.
650 # 0 $a Lyapunov exponents. $3 928229