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[ author_sort:"barreira, luis, (1968-)" ]
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Dimension theory of hyperbolic flows /
~
Barreira, Luis, (1968-)
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Dimension theory of hyperbolic flows /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Dimension theory of hyperbolic flows // Luís Barreira.
作者:
Barreira, Luis,
出版者:
Cham ;Springer, : c2013.,
面頁冊數:
x, 158 p. :ill. ;25 cm.
標題:
Differential equations, Hyperbolic. -
ISBN:
9783319005478 (hbk.) :
ISSN:
14397382
Dimension theory of hyperbolic flows /
Barreira, Luis,1968-
Dimension theory of hyperbolic flows /
Luís Barreira. - Cham ;Springer,c2013. - x, 158 p. :ill. ;25 cm. - Springer monographs in mathematics. - Springer monographs in mathematics..
Includes bibliographical references (p. 151-155) and index.
Introduction --
The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs.The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material --
ISBN: 9783319005478 (hbk.) :EUR84.99
ISSN: 14397382
LCCN: 2013942381Subjects--Topical Terms:
560924
Differential equations, Hyperbolic.
LC Class. No.: QA611.3 / .B378 2013
Dimension theory of hyperbolic flows /
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Introduction --
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The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs.The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material --
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