Spaces of Dynamical Systems /

Spaces of Dynamical Systems / / Sergei Yu. Pilyugin.

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Dynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion. In addition to topological dynamics, struct...

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Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package
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Pilyugin, Sergei Yu.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Studies in Mathematical Physics , 3
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Physical Description:1 online resource (229 p.)
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id 9783110258417
ctrlnum (DE-B1597)124044
(OCoLC)794687010
collection bib_alma
record_format marc
spelling Pilyugin, Sergei Yu., author. aut http://id.loc.gov/vocabulary/relators/aut
Spaces of Dynamical Systems / Sergei Yu. Pilyugin.
Berlin ; Boston : De Gruyter, [2012]
©2012
1 online resource (229 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematical Physics , 2194-3532 ; 3
Frontmatter -- Preface -- Nomenclature -- Contents -- Chapter 1. Dynamical systems -- Chapter 2. Topologies on spaces of dynamical systems -- Chapter 3. Equivalence relations -- Chapter 4. Hyperbolic fixed point -- Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory -- Chapter 6. Transversality -- Chapter 7. Hyperbolic sets -- Chapter 8. Anosov diffeomorphisms -- Chapter 9. Smale’s horseshoe and chaos -- Chapter 10. Closing Lemma -- Chapter 11. C0-generic properties of dynamical systems -- Chapter 12. Shadowing of pseudotrajectories in dynamical systems -- Appendix A. Scheme of the proof of the Mañé theorem -- Appendix B. Lectures on the history of differential equations and dynamical systems -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Dynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion. In addition to topological dynamics, structural stability and chaotic dynamics, also generic properties and pseudotrajectories are covered, as well as nonlinearity. The author is an experienced book writer and his work is based on years of teaching.
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)
Dynamics.
Chaosforschung.
Dynamische Systeme.
Strukturelle Stabilität.
Topologie.
SCIENCE / Physics / Mathematical & Computational. bisacsh
Chaotic Dynamics.
Dynamical Systems.
Generic Properties.
Pseudotrajectories.
Structural Stability.
Topological Dynamics.
Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package 9783110645309
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 Physical Sciences 2000 - 2014 9783110637212 ZDB-23-GPS
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 9783110288995 ZDB-23-DGG
Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 9783110293722 ZDB-23-DMI
Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 9783110288926 ZDB-23-DMP
print 9783110255959
https://doi.org/10.1515/9783110258417
https://www.degruyter.com/isbn/9783110258417
Cover https://www.degruyter.com/document/cover/isbn/9783110258417/original
language English
format eBook
author Pilyugin, Sergei Yu.,
Pilyugin, Sergei Yu.,
spellingShingle Pilyugin, Sergei Yu.,
Pilyugin, Sergei Yu.,
Spaces of Dynamical Systems /
De Gruyter Studies in Mathematical Physics ,
Frontmatter --
Preface --
Nomenclature --
Contents --
Chapter 1. Dynamical systems --
Chapter 2. Topologies on spaces of dynamical systems --
Chapter 3. Equivalence relations --
Chapter 4. Hyperbolic fixed point --
Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory --
Chapter 6. Transversality --
Chapter 7. Hyperbolic sets --
Chapter 8. Anosov diffeomorphisms --
Chapter 9. Smale’s horseshoe and chaos --
Chapter 10. Closing Lemma --
Chapter 11. C0-generic properties of dynamical systems --
Chapter 12. Shadowing of pseudotrajectories in dynamical systems --
Appendix A. Scheme of the proof of the Mañé theorem --
Appendix B. Lectures on the history of differential equations and dynamical systems --
Bibliography --
Index
author_facet Pilyugin, Sergei Yu.,
Pilyugin, Sergei Yu.,
author_variant s y p sy syp
s y p sy syp
author_role VerfasserIn
VerfasserIn
author_sort Pilyugin, Sergei Yu.,
title Spaces of Dynamical Systems /
title_full Spaces of Dynamical Systems / Sergei Yu. Pilyugin.
title_fullStr Spaces of Dynamical Systems / Sergei Yu. Pilyugin.
title_full_unstemmed Spaces of Dynamical Systems / Sergei Yu. Pilyugin.
title_auth Spaces of Dynamical Systems /
title_alt Frontmatter --
Preface --
Nomenclature --
Contents --
Chapter 1. Dynamical systems --
Chapter 2. Topologies on spaces of dynamical systems --
Chapter 3. Equivalence relations --
Chapter 4. Hyperbolic fixed point --
Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory --
Chapter 6. Transversality --
Chapter 7. Hyperbolic sets --
Chapter 8. Anosov diffeomorphisms --
Chapter 9. Smale’s horseshoe and chaos --
Chapter 10. Closing Lemma --
Chapter 11. C0-generic properties of dynamical systems --
Chapter 12. Shadowing of pseudotrajectories in dynamical systems --
Appendix A. Scheme of the proof of the Mañé theorem --
Appendix B. Lectures on the history of differential equations and dynamical systems --
Bibliography --
Index
title_new Spaces of Dynamical Systems /
title_sort spaces of dynamical systems /
series De Gruyter Studies in Mathematical Physics ,
series2 De Gruyter Studies in Mathematical Physics ,
publisher De Gruyter,
publishDate 2012
physical 1 online resource (229 p.)
Issued also in print.
contents Frontmatter --
Preface --
Nomenclature --
Contents --
Chapter 1. Dynamical systems --
Chapter 2. Topologies on spaces of dynamical systems --
Chapter 3. Equivalence relations --
Chapter 4. Hyperbolic fixed point --
Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory --
Chapter 6. Transversality --
Chapter 7. Hyperbolic sets --
Chapter 8. Anosov diffeomorphisms --
Chapter 9. Smale’s horseshoe and chaos --
Chapter 10. Closing Lemma --
Chapter 11. C0-generic properties of dynamical systems --
Chapter 12. Shadowing of pseudotrajectories in dynamical systems --
Appendix A. Scheme of the proof of the Mañé theorem --
Appendix B. Lectures on the history of differential equations and dynamical systems --
Bibliography --
Index
isbn 9783110258417
9783110645309
9783110238570
9783110238471
9783110637212
9783110288995
9783110293722
9783110288926
9783110255959
issn 2194-3532 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA845
callnumber-sort QA 3845
url https://doi.org/10.1515/9783110258417
https://www.degruyter.com/isbn/9783110258417
https://www.degruyter.com/document/cover/isbn/9783110258417/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.39
dewey-sort 3515.39
dewey-raw 515.39
dewey-search 515.39
doi_str_mv 10.1515/9783110258417
oclc_num 794687010
work_keys_str_mv AT pilyuginsergeiyu spacesofdynamicalsystems
status_str n
ids_txt_mv (DE-B1597)124044
(OCoLC)794687010
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics 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 Physical Sciences 2000 - 2014
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012
Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012
Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012
is_hierarchy_title Spaces of Dynamical Systems /
container_title Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package
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