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Introduction to the modern theory of dynamical systems by A. B. Katok

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Published by Cambridge University Press in Cambridge, New York, NY, USA .
Written in English

Subjects:

  • Differentiable dynamical systems.

Book details:

Edition Notes

Includes bibliographical references (p. [781]-792) and index.

StatementAnatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza.
SeriesEncyclopedia of mathematics and its applications ;, v. 54
ContributionsHasselblatt, Boris.
Classifications
LC ClassificationsQA614.8 .K38 1995
The Physical Object
Paginationxviii, 802 p. :
Number of Pages802
ID Numbers
Open LibraryOL1101643M
ISBN 100521341876
LC Control Number94026547

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The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over systematic exercises are included in the by: Introduction to the Modern Theory of Dynamical Systems Anatole Katok This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. Introduction to the Modern Theory of Dynamical Systems Anatole Katok, Boris Hasselblatt. This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic. This text is a high-level introduction to the modern theory of dynamical systems; an analysis-based, pure mathematics course textbook in the basic tools, techniques, theory and development of both the abstract and the practical notions of mathematical modelling, using both discrete and continuous concepts and examples comprising what may be called the modern theory of uisite.

  Introduction to the Modern Theory of Dynamical Systems by Anatole Katok, , available at Book Depository with free delivery worldwide/5(14). Introduction to the Modern Theory of Dynamical Systems By Anatole Katok and Boris Hasselblatt with a supplement by Anatole Katok and Leonardo Mendoza Encyclopedia of Mathematics and Its Applicati Cambridge University Press, ISBN 0 . This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. Florida Atlantic University.

Introduction to the Modern Theory of Dynamical Systems Article (PDF Available) in Shock and Vibration 5(4) January with 1, Reads How we measure 'reads'.   Book Summary: The title of this book is Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications) and it was written by Anatole Katok, Boris Hasselblatt. This particular edition is in a Paperback format. This books publish date is and it has a suggested retail price of $Pages: The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction.. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. Introduction to the modern theory of dynamical systems The theory of dynamical systems is a major mathematical discipline closely intertwined with most of the main areas of mathematics. Its mathematical core is the study of the global orbit structure of maps and flows with emphasis on properties invariant under coordinate changes.