Näytä suppeat kuvailutiedot

dc.contributor.authorKuznetsov, Nikolay
dc.contributor.authorLeonov, G. A.
dc.contributor.authorMokaev, T. N.
dc.contributor.authorPrasad, A.
dc.contributor.authorShrimali, M. D.
dc.date.accessioned2018-03-28T06:49:13Z
dc.date.available2018-03-28T06:49:13Z
dc.date.issued2018
dc.identifier.citationKuznetsov, N., Leonov, G. A., Mokaev, T. N., Prasad, A., & Shrimali, M. D. (2018). Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. <i>Nonlinear Dynamics</i>, <i>92</i>(2), 267-285. <a href="https://doi.org/10.1007/s11071-018-4054-z" target="_blank">https://doi.org/10.1007/s11071-018-4054-z</a>
dc.identifier.otherCONVID_27887304
dc.identifier.otherTUTKAID_76730
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/57453
dc.description.abstractThe Rabinovich system, describing the process of interaction between waves in plasma, is considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case of multistability as well as a classical self-excited attractor. The hidden attractor in this system can be localized by analytical/numerical methods based on the continuation and perpetual points. The concept of finite-time Lyapunov dimension is developed for numerical study of the dimension of attractors. A conjecture on the Lyapunov dimension of self-excited attractors and the notion of exact Lyapunov dimension are discussed. A comparative survey on the computation of the finite-time Lyapunov exponents and dimension by different algorithms is presented. An adaptive algorithm for studying the dynamics of the finite-time Lyapunov dimension is suggested. Various estimates of the finite-time Lyapunov dimension for the hidden attractor and hidden transient chaotic set in the case of multistability are given.
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesNonlinear Dynamics
dc.subject.otherhidden attractors
dc.subject.otherperpetual points
dc.subject.otherfinite-time Lyapunov exponents
dc.subject.otheradaptive algorithms
dc.subject.otherLyapunov dimension
dc.titleFinite-time Lyapunov dimension and hidden attractor of the Rabinovich system
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201803271862
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.updated2018-03-27T12:17:10Z
dc.description.reviewstatuspeerReviewed
dc.format.pagerange267-285
dc.relation.issn0924-090X
dc.relation.numberinseries2
dc.relation.volume92
dc.type.versionpublishedVersion
dc.rights.copyright© the Authors, 2018. This is an open access article distributed under the terms of the Creative Commons License.
dc.rights.accesslevelopenAccessfi
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s11071-018-4054-z


Aineistoon kuuluvat tiedostot

Thumbnail

Aineisto kuuluu seuraaviin kokoelmiin

Näytä suppeat kuvailutiedot

© the Authors, 2018. This is an open access article distributed under the terms of the Creative Commons License.
Ellei muuten mainita, aineiston lisenssi on © the Authors, 2018. This is an open access article distributed under the terms of the Creative Commons License.