High precision numerical estimation of the largest Lyapunov exponent

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dc.contributor.authorKim, Bong Joko
dc.contributor.authorChoe, Geon Hoko
dc.date.accessioned2013-03-09T06:15:20Z-
dc.date.available2013-03-09T06:15:20Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-05-
dc.identifier.citationCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v.15, no.5, pp.1378 - 1384-
dc.identifier.issn1007-5704-
dc.identifier.urihttp://hdl.handle.net/10203/95568-
dc.description.abstractA numerical algorithm for estimating the largest Lyapunov exponent of a chaotic attractor is presented. The method makes use of the minimal time for two trajectories to diverge beyond a given distance from each other. We define the nth divergence speed G(n) and show that, for an appropriate range of n, the largest Lyapunov exponent can be approximated by G(n). (C) 2009 Elsevier B.V. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.titleHigh precision numerical estimation of the largest Lyapunov exponent-
dc.typeArticle-
dc.identifier.wosid000272939800029-
dc.identifier.scopusid2-s2.0-70449123867-
dc.type.rimsART-
dc.citation.volume15-
dc.citation.issue5-
dc.citation.beginningpage1378-
dc.citation.endingpage1384-
dc.citation.publicationnameCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION-
dc.identifier.doi10.1016/j.cnsns.2009.05.064-
dc.contributor.localauthorChoe, Geon Ho-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorLyapunov exponent-
dc.subject.keywordAuthorDivergence speed-
dc.subject.keywordAuthorChaotic attractor-
dc.subject.keywordAuthorHigh precision computation-
dc.subject.keywordPlusTIME-SERIES-
dc.subject.keywordPlusSTRANGE ATTRACTORS-
dc.subject.keywordPlusDYNAMICAL-SYSTEMS-
dc.subject.keywordPlusCHAOS-
dc.subject.keywordPlusDIMENSION-
dc.subject.keywordPlusNOISE-
dc.subject.keywordPlusSPACE-
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