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Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday

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Title: Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday
Description: The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included.The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical — not necessarily widely known — contributions (about the different types of chaos introduced by Rössler and not just the “Rössler attractor”; Gumowski and Mira's contributions in electronics; Poincaré's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.
Authors: Christophe Letellier, Robert Gilmore
Resource Type: eBook.
Subjects: Chaotic behavior in systems
Categories: MATHEMATICS / Linear & Nonlinear Programming, MATHEMATICS / Topology, SCIENCE / Chaotic Behavior in Systems
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 689740
RelevancyScore: 1051
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1050.81640625
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  Data: Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday
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  Data: The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included.The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical — not necessarily widely known — contributions (about the different types of chaos introduced by Rössler and not just the “Rössler attractor”; Gumowski and Mira's contributions in electronics; Poincaré's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.
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  Data: <searchLink fieldCode="AR" term="%22Christophe+Letellier%22">Christophe Letellier</searchLink><br /><searchLink fieldCode="AR" term="%22Robert+Gilmore%22">Robert Gilmore</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 003.857
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Chaotic behavior in systems
        Type: general
    Titles:
      – TitleFull: Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Christophe Letellier
      – PersonEntity:
          Name:
            NameFull: Robert Gilmore
      – PersonEntity:
          Name:
            NameFull: Christophe Letellier
      – PersonEntity:
          Name:
            NameFull: Robert Gilmore
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 21
              M: 03
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789814434850
            – Type: isbn-electronic
              Value: 9789814434867
            – Type: isbn-electronic
              Value: 9789814434874
          Numbering:
            – Type: volume
              Value: 00084
          Titles:
            – TitleFull: Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday
              Type: main
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