Spaces of Dynamical Systems / / Sergei Yu. Pilyugin.
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Edition: | 2. rev. and exten. edition |
Language: | English |
Series: | De Gruyter Studies in Mathematical Physics ,
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Physical Description: | 1 online resource (XV, 241 p.) |
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Pilyugin, Sergei Yu., author. aut http://id.loc.gov/vocabulary/relators/aut Spaces of Dynamical Systems / Sergei Yu. Pilyugin. 2. rev. and exten. edition Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (XV, 241 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 -- Contents -- Preface to the first edition -- Preface to the second edition -- List of main symbols -- 1. Dynamical systems -- 2. Topologies on spaces of dynamical systems -- 3. Equivalence relations -- 4. Hyperbolic fixed point -- 5. Hyperbolic rest point and hyperbolic closed trajectory -- 6. Transversality -- 7. Hyperbolic sets -- 8. Anosov diffeomorphisms -- 9. Smale’s horseshoe and chaos -- 10. Closing lemma -- 11. C0-generic properties of dynamical systems -- 12. Shadowing of pseudotrajectories in dynamical systems -- 13. Invariant measures -- A. Scheme of the proof of the Mañé theorem -- B. Lectures on selected chapters of 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 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) SCIENCE / Physics / Mathematical & Computational. bisacsh Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package 9783110645309 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chem., Mat.Sc, Geosc 2019 English 9783110610642 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2019 9783110606461 ZDB-23-DPC EPUB 9783110653991 print 9783110644463 https://doi.org/10.1515/9783110657166 https://www.degruyter.com/isbn/9783110657166 Cover https://www.degruyter.com/document/cover/isbn/9783110657166/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 -- Contents -- Preface to the first edition -- Preface to the second edition -- List of main symbols -- 1. Dynamical systems -- 2. Topologies on spaces of dynamical systems -- 3. Equivalence relations -- 4. Hyperbolic fixed point -- 5. Hyperbolic rest point and hyperbolic closed trajectory -- 6. Transversality -- 7. Hyperbolic sets -- 8. Anosov diffeomorphisms -- 9. Smale’s horseshoe and chaos -- 10. Closing lemma -- 11. C0-generic properties of dynamical systems -- 12. Shadowing of pseudotrajectories in dynamical systems -- 13. Invariant measures -- A. Scheme of the proof of the Mañé theorem -- B. Lectures on selected chapters of 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 -- Contents -- Preface to the first edition -- Preface to the second edition -- List of main symbols -- 1. Dynamical systems -- 2. Topologies on spaces of dynamical systems -- 3. Equivalence relations -- 4. Hyperbolic fixed point -- 5. Hyperbolic rest point and hyperbolic closed trajectory -- 6. Transversality -- 7. Hyperbolic sets -- 8. Anosov diffeomorphisms -- 9. Smale’s horseshoe and chaos -- 10. Closing lemma -- 11. C0-generic properties of dynamical systems -- 12. Shadowing of pseudotrajectories in dynamical systems -- 13. Invariant measures -- A. Scheme of the proof of the Mañé theorem -- B. Lectures on selected chapters of 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 |
2019 |
physical |
1 online resource (XV, 241 p.) Issued also in print. |
edition |
2. rev. and exten. edition |
contents |
Frontmatter -- Contents -- Preface to the first edition -- Preface to the second edition -- List of main symbols -- 1. Dynamical systems -- 2. Topologies on spaces of dynamical systems -- 3. Equivalence relations -- 4. Hyperbolic fixed point -- 5. Hyperbolic rest point and hyperbolic closed trajectory -- 6. Transversality -- 7. Hyperbolic sets -- 8. Anosov diffeomorphisms -- 9. Smale’s horseshoe and chaos -- 10. Closing lemma -- 11. C0-generic properties of dynamical systems -- 12. Shadowing of pseudotrajectories in dynamical systems -- 13. Invariant measures -- A. Scheme of the proof of the Mañé theorem -- B. Lectures on selected chapters of the history of differential equations and dynamical systems -- Bibliography -- Index |
isbn |
9783110657166 9783110762464 9783110719567 9783110645309 9783110616859 9783110610765 9783110664232 9783110610642 9783110606461 9783110653991 9783110644463 |
issn |
2194-3532 ; |
url |
https://doi.org/10.1515/9783110657166 https://www.degruyter.com/isbn/9783110657166 https://www.degruyter.com/document/cover/isbn/9783110657166/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110657166 |
oclc_num |
1114811647 |
work_keys_str_mv |
AT pilyuginsergeiyu spacesofdynamicalsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)518241 (OCoLC)1114811647 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chem., Mat.Sc, Geosc 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2019 |
is_hierarchy_title |
Spaces of Dynamical Systems / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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1770177745344528384 |
fullrecord |
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