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

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
VerfasserIn:
Vries, Jan,
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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id 9783110342406
ctrlnum (DE-B1597)245859
(OCoLC)873464768
collection bib_alma
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spelling Vries, Jan, author. aut http://id.loc.gov/vocabulary/relators/aut
Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings / Jan Vries.
Berlin ; Boston : De Gruyter, [2014]
©2014
1 online resource (498 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 59
Frontmatter -- Preface -- Notation -- Contents -- 0. Introduction -- 1. Basic notions -- 2. Dynamical systems on the real line -- 3. Limit behaviour -- 4. Recurrent behaviour -- 5. Shift systems -- 6. Symbolic representations -- 7. Erratic behaviour -- 8. Topological entropy -- A. Topology -- B. The Cantor set -- C. Hints to the Exercises -- Literature -- Index -- De Gruyter Studies in Mathematics
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Topological dynamics.
Diskrete dynamische Systeme.
Topologische Dynamik.
Topologische dynamische Systeme.
MATHEMATICS / Applied. bisacsh
Almost periodic points and minimal sets.
Chaos.
Discrete dynamical systems.
Recurrence.
Shift systems and symbolic dynamics.
Symptotic stability and attraction.
Topological entropy.
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 9783110369526 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 9783110370355 ZDB-23-DEM
EPUB 9783110374599
print 9783110340730
https://doi.org/10.1515/9783110342406
https://www.degruyter.com/isbn/9783110342406
Cover https://www.degruyter.com/document/cover/isbn/9783110342406/original
language English
format eBook
author Vries, Jan,
Vries, Jan,
spellingShingle Vries, Jan,
Vries, Jan,
Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings /
De Gruyter Studies in Mathematics ,
Frontmatter --
Preface --
Notation --
Contents --
0. Introduction --
1. Basic notions --
2. Dynamical systems on the real line --
3. Limit behaviour --
4. Recurrent behaviour --
5. Shift systems --
6. Symbolic representations --
7. Erratic behaviour --
8. Topological entropy --
A. Topology --
B. The Cantor set --
C. Hints to the Exercises --
Literature --
Index --
De Gruyter Studies in Mathematics
author_facet Vries, Jan,
Vries, Jan,
author_variant j v jv
j v jv
author_role VerfasserIn
VerfasserIn
author_sort Vries, Jan,
title Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings /
title_sub An Introduction to the Dynamics of Continuous Mappings /
title_full Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings / Jan Vries.
title_fullStr Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings / Jan Vries.
title_full_unstemmed Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings / Jan Vries.
title_auth Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings /
title_alt Frontmatter --
Preface --
Notation --
Contents --
0. Introduction --
1. Basic notions --
2. Dynamical systems on the real line --
3. Limit behaviour --
4. Recurrent behaviour --
5. Shift systems --
6. Symbolic representations --
7. Erratic behaviour --
8. Topological entropy --
A. Topology --
B. The Cantor set --
C. Hints to the Exercises --
Literature --
Index --
De Gruyter Studies in Mathematics
title_new Topological Dynamical Systems :
title_sort topological dynamical systems : an introduction to the dynamics of continuous mappings /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2014
physical 1 online resource (498 p.)
Issued also in print.
contents Frontmatter --
Preface --
Notation --
Contents --
0. Introduction --
1. Basic notions --
2. Dynamical systems on the real line --
3. Limit behaviour --
4. Recurrent behaviour --
5. Shift systems --
6. Symbolic representations --
7. Erratic behaviour --
8. Topological entropy --
A. Topology --
B. The Cantor set --
C. Hints to the Exercises --
Literature --
Index --
De Gruyter Studies in Mathematics
isbn 9783110342406
9783110494938
9783110238570
9783110238471
9783110637205
9783110369526
9783110370355
9783110374599
9783110340730
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA611
callnumber-sort QA 3611.5 V754 42014
url https://doi.org/10.1515/9783110342406
https://www.degruyter.com/isbn/9783110342406
https://www.degruyter.com/document/cover/isbn/9783110342406/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.39
dewey-sort 3515 239
dewey-raw 515/.39
dewey-search 515/.39
doi_str_mv 10.1515/9783110342406
oclc_num 873464768
work_keys_str_mv AT vriesjan topologicaldynamicalsystemsanintroductiontothedynamicsofcontinuousmappings
status_str n
ids_txt_mv (DE-B1597)245859
(OCoLC)873464768
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014
is_hierarchy_title Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings /
container_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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