Format:
1 Online-Ressource (xviii, 802 pages)
,
digital, PDF file(s).
ISBN:
9780511809187
Series Statement:
Encyclopedia of mathematics and its applications volume 54
Content:
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. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. 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 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521575577
Additional Edition:
ISBN 9780521341875
Additional Edition:
ISBN 9780521341875
Additional Edition:
ISBN 9780521575577
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521341875
Additional Edition:
Erscheint auch als Druck-Ausgabe Katok, Anatole, 1944 - 2018 Introduction to the modern theory of dynamical systems Cambridge [u.a.] : Cambridge Univ. Press, 1995 ISBN 0521341876
Additional Edition:
ISBN 9780521575577
Language:
English
Subjects:
Mathematics
Keywords:
Dynamisches System
;
Dynamisches System
;
Einführung
DOI:
10.1017/CBO9780511809187
URL:
Volltext
(lizenzpflichtig)
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