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dc.contributor.authorDanca, Marius-F.
dc.contributor.authorBourke, Paul
dc.contributor.authorKuznetsov, Nikolay
dc.date.accessioned2020-01-07T11:57:14Z
dc.date.available2020-02-02T22:35:31Z
dc.date.issued2019
dc.identifier.citationDanca, M.-F., Bourke, P., & Kuznetsov, N. (2019). Graphical Structure of Attraction Basins of Hidden Chaotic Attractors : The Rabinovich-Fabrikant System. <i>International Journal of Bifurcation and Chaos in Applied Sciences and Engineering</i>, <i>29</i>(1), Article 1930001. <a href="https://doi.org/10.1142/S0218127419300015" target="_blank">https://doi.org/10.1142/S0218127419300015</a>
dc.identifier.otherCONVID_28916272
dc.identifier.otherTUTKAID_80630
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/67134
dc.description.abstractThe attraction basin of hidden attractors does not intersect with small neighborhoods of any equilibrium point. To the best of our knowledge this property has not been explored using realtime interactive three-dimensions graphics. Aided by advanced computer graphic analysis, in this paper, we explore this characteristic of a particular nonlinear system with very rich and unusual dynamics, the Rabinovich–Fabrikant system. It is shown that there exists a neighborhood of one of the unstable equilibria within which the initial conditions do not lead to the considered hidden chaotic attractor, but to one of the stable equilibria or are divergent. The trajectories starting from any neighborhood of the other unstable equilibria are attracted either by the stable equilibria, or are divergent.fi
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.
dc.relation.ispartofseriesInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
dc.rightsIn Copyright
dc.subject.otherhidden chaotic attractor
dc.subject.otherRabinovich-Fabrikant system
dc.subject.otherdata visualisation
dc.titleGraphical Structure of Attraction Basins of Hidden Chaotic Attractors : The Rabinovich-Fabrikant System
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202001031026
dc.contributor.laitosInformaatioteknologian tiedekuntafi
dc.contributor.laitosFaculty of Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2020-01-03T13:15:14Z
dc.description.reviewstatuspeerReviewed
dc.relation.issn0218-1274
dc.relation.numberinseries1
dc.relation.volume29
dc.type.versionacceptedVersion
dc.rights.copyright© World Scientific Publishing Company 2019
dc.rights.accesslevelopenAccessfi
dc.subject.ysokaaosteoria
dc.subject.ysovisualisointi
dc.subject.ysotietokonegrafiikka
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p6339
jyx.subject.urihttp://www.yso.fi/onto/yso/p7938
jyx.subject.urihttp://www.yso.fi/onto/yso/p6451
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1142/S0218127419300015


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