Topological Dynamical Systems : : An Introduction to the Dynamics of Continuous Mappings / / Jan Vries.

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent liter...

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Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2014
Year of Publication:2014
Language:English
Series:De Gruyter Studies in Mathematics , 59
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Physical Description:1 online resource (498 p.)
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245 1 0 |a Topological Dynamical Systems :  |b An Introduction to the Dynamics of Continuous Mappings /  |c Jan Vries. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2014] 
264 4 |c ©2014 
300 |a 1 online resource (498 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 59 
505 0 0 |t Frontmatter --   |t Preface --   |t Notation --   |t Contents --   |t 0. Introduction --   |t 1. Basic notions --   |t 2. Dynamical systems on the real line --   |t 3. Limit behaviour --   |t 4. Recurrent behaviour --   |t 5. Shift systems --   |t 6. Symbolic representations --   |t 7. Erratic behaviour --   |t 8. Topological entropy --   |t A. Topology --   |t B. The Cantor set --   |t C. Hints to the Exercises --   |t Literature --   |t Index --   |t De Gruyter Studies in Mathematics 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Topological dynamics. 
650 4 |a Diskrete dynamische Systeme. 
650 4 |a Topologische Dynamik. 
650 4 |a Topologische dynamische Systeme. 
650 7 |a MATHEMATICS / Applied.  |2 bisacsh 
653 |a Almost periodic points and minimal sets. 
653 |a Chaos. 
653 |a Discrete dynamical systems. 
653 |a Recurrence. 
653 |a Shift systems and symbolic dynamics. 
653 |a Symptotic stability and attraction. 
653 |a Topological entropy. 
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