View in EDS PDF Full Text

Elegant Chaos: Algebraically Simple Chaotic Flows

Saved in:
Bibliographic Details
Title: Elegant Chaos: Algebraically Simple Chaotic Flows
Description: This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.
Authors: Julien Clinton Sprott
Resource Type: eBook.
Subjects: Chaotic behavior in systems--Mathematics, Lyapunov exponents, Flows (Differentiable dynamical systems)
Categories: MATHEMATICS / Geometry / Analytic, MATHEMATICS / Geometry / Differential, TECHNOLOGY & ENGINEERING / Electrical
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 340752
RelevancyScore: 1031
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1031.17456054688
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$340752$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$340752$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Elegant Chaos: Algebraically Simple Chaotic Flows
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Julien+Clinton+Sprott%22">Julien Clinton Sprott</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Chaotic+behavior+in+systems--Mathematics%22">Chaotic behavior in systems--Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Flows+%28Differentiable+dynamical+systems%29%22">Flows (Differentiable dynamical systems)</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Analytic%22">MATHEMATICS / Geometry / Analytic</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Differential%22">MATHEMATICS / Geometry / Differential</searchLink><br /><searchLink fieldCode="ZK" term="%22TECHNOLOGY+%26+ENGINEERING+%2F+Electrical%22">TECHNOLOGY & ENGINEERING / Electrical</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=340752
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.35
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Chaotic behavior in systems--Mathematics
        Type: general
      – SubjectFull: Lyapunov exponents
        Type: general
      – SubjectFull: Flows (Differentiable dynamical systems)
        Type: general
    Titles:
      – TitleFull: Elegant Chaos: Algebraically Simple Chaotic Flows
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Julien Clinton Sprott
      – PersonEntity:
          Name:
            NameFull: Julien Clinton Sprott
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2010
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789812838810
            – Type: isbn-electronic
              Value: 9789812838827
          Titles:
            – TitleFull: Elegant Chaos: Algebraically Simple Chaotic Flows
              Type: main
ResultId 1