Spaces of dynamical systems /:
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...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
©2012.
|
Schriftenreihe: | De Gruyter studies in mathematical physics ;
3. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (xv, 229 pages) : illustrations |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9783110258417 3110258412 9786613600127 6613600121 |
Internformat
MARC
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245 | 1 | 0 | |a Spaces of dynamical systems / |c Sergei Yu. Pilyugin. |
260 | |a Berlin ; |a Boston : |b De Gruyter, |c ©2012. | ||
300 | |a 1 online resource (xv, 229 pages) : |b illustrations | ||
336 | |a text |b txt |2 rdacontent | ||
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490 | 1 | |a De Gruyter studies in mathematical physics ; |v 3 | |
504 | |a Includes bibliographical references and index. | ||
505 | 0 | |a Dynamical systems -- Topologies on spaces of dynamical systems -- Equivalence relations -- Hyperbolic fixed point -- Hyperbolic rest point and hyperbolic closed trajectory -- Transversality -- Hyperbolic sets -- Anosov diffeomorphisms -- Smale's horseshoe and chaos -- Closing lemma -- C0-generic properties of dynamical systems -- Shadowing of pseudotrajectories in dynamical systems. | |
588 | 0 | |a Print version record. | |
520 | |a 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. | ||
546 | |a English. | ||
650 | 0 | |a Dynamics. |0 http://id.loc.gov/authorities/subjects/sh85040316 | |
650 | 6 | |a Dynamique. | |
650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
650 | 7 | |a Dynamics |2 fast | |
650 | 7 | |a Dynamisches System |2 gnd | |
653 | |a Chaotic Dynamics. | ||
653 | |a Dynamical Systems. | ||
653 | |a Generic Properties. | ||
653 | |a Pseudotrajectories. | ||
653 | |a Structural Stability. | ||
653 | |a Topological Dynamics. | ||
758 | |i has work: |a SPACES OF DYNAMICAL SYSTEMS (Text) |1 https://id.oclc.org/worldcat/entity/E39PD37RDhcr7TKyGFd8fmB44m |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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Datensatz im Suchindex
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adam_text | |
any_adam_object | |
author | Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- |
author_GND | http://id.loc.gov/authorities/names/n92012862 |
author_facet | Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- |
author_role | |
author_sort | Pilyugin, Sergei Yu. 1947- |
author_variant | s y p sy syp |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA845 |
callnumber-raw | QA845 .P46 2012eb |
callnumber-search | QA845 .P46 2012eb |
callnumber-sort | QA 3845 P46 42012EB |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 520 |
collection | ZDB-4-EBA |
contents | Dynamical systems -- Topologies on spaces of dynamical systems -- Equivalence relations -- Hyperbolic fixed point -- Hyperbolic rest point and hyperbolic closed trajectory -- Transversality -- Hyperbolic sets -- Anosov diffeomorphisms -- Smale's horseshoe and chaos -- Closing lemma -- C0-generic properties of dynamical systems -- Shadowing of pseudotrajectories in dynamical systems. |
ctrlnum | (OCoLC)794687010 |
dewey-full | 515/.39 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.39 |
dewey-search | 515/.39 |
dewey-sort | 3515 239 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn794687010 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:18:25Z |
institution | BVB |
isbn | 9783110258417 3110258412 9786613600127 6613600121 |
language | English |
oclc_num | 794687010 |
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physical | 1 online resource (xv, 229 pages) : illustrations |
psigel | ZDB-4-EBA |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | De Gruyter, |
record_format | marc |
series | De Gruyter studies in mathematical physics ; |
series2 | De Gruyter studies in mathematical physics ; |
spelling | Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- https://id.oclc.org/worldcat/entity/E39PCjyRMB4ww6BMDHHyQfwW8P http://id.loc.gov/authorities/names/n92012862 Spaces of dynamical systems / Sergei Yu. Pilyugin. Berlin ; Boston : De Gruyter, ©2012. 1 online resource (xv, 229 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter studies in mathematical physics ; 3 Includes bibliographical references and index. Dynamical systems -- Topologies on spaces of dynamical systems -- Equivalence relations -- Hyperbolic fixed point -- Hyperbolic rest point and hyperbolic closed trajectory -- Transversality -- Hyperbolic sets -- Anosov diffeomorphisms -- Smale's horseshoe and chaos -- Closing lemma -- C0-generic properties of dynamical systems -- Shadowing of pseudotrajectories in dynamical systems. Print version record. 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. English. Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Dynamique. MATHEMATICS Differential Equations General. bisacsh Dynamics fast Dynamisches System gnd Chaotic Dynamics. Dynamical Systems. Generic Properties. Pseudotrajectories. Structural Stability. Topological Dynamics. has work: SPACES OF DYNAMICAL SYSTEMS (Text) https://id.oclc.org/worldcat/entity/E39PD37RDhcr7TKyGFd8fmB44m https://id.oclc.org/worldcat/ontology/hasWork Print version: Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- Spaces of dynamical systems. Berlin ; Boston : De Gruyter, ©2012 9783110255959 (DLC) 2012003495 (OCoLC)761193790 De Gruyter studies in mathematical physics ; 3. http://id.loc.gov/authorities/names/no2012028823 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=456799 Volltext |
spellingShingle | Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- Spaces of dynamical systems / De Gruyter studies in mathematical physics ; Dynamical systems -- Topologies on spaces of dynamical systems -- Equivalence relations -- Hyperbolic fixed point -- Hyperbolic rest point and hyperbolic closed trajectory -- Transversality -- Hyperbolic sets -- Anosov diffeomorphisms -- Smale's horseshoe and chaos -- Closing lemma -- C0-generic properties of dynamical systems -- Shadowing of pseudotrajectories in dynamical systems. Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Dynamique. MATHEMATICS Differential Equations General. bisacsh Dynamics fast Dynamisches System gnd |
subject_GND | http://id.loc.gov/authorities/subjects/sh85040316 |
title | Spaces of dynamical systems / |
title_auth | Spaces of dynamical systems / |
title_exact_search | 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_short | Spaces of dynamical systems / |
title_sort | spaces of dynamical systems |
topic | Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Dynamique. MATHEMATICS Differential Equations General. bisacsh Dynamics fast Dynamisches System gnd |
topic_facet | Dynamics. Dynamique. MATHEMATICS Differential Equations General. Dynamics Dynamisches System |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=456799 |
work_keys_str_mv | AT pilyuginsergeiyu spacesofdynamicalsystems |