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dc.contributor.authorLeonov, G. A.
dc.contributor.authorKuznetsov, Nikolay
dc.contributor.authorKorzhemanova, N. A.
dc.contributor.authorKusakin, D. V.
dc.date.accessioned2016-06-08T10:29:44Z
dc.date.available2018-04-30T21:45:08Z
dc.date.issued2016
dc.identifier.citationLeonov, G. A., Kuznetsov, N., Korzhemanova, N. A., & Kusakin, D. V. (2016). Lyapunov dimension formula for the global attractor of the Lorenz system. <i>Communications in Nonlinear Science and Numerical Simulation</i>, <i>41</i>, 84-103. <a href="https://doi.org/10.1016/j.cnsns.2016.04.032" target="_blank">https://doi.org/10.1016/j.cnsns.2016.04.032</a>
dc.identifier.otherCONVID_25680557
dc.identifier.otherTUTKAID_69899
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/50188
dc.description.abstractThe exact Lyapunov dimension formula for the Lorenz system for a positive measure set of parameters, including classical values, was analytically obtained first by G.A. Leonov in 2002. Leonov used the construction technique of special Lyapunov-type functions, which was developed by him in 1991 year. Later it was shown that the consideration of larger class of Lyapunov-type functions permits proving the validity of this formula for all parameters, of the system, such that all the equilibria of the system are hyperbolically unstable. In the present work it is proved the validity of the formula for Lyapunov dimension for a wider variety of parameters values including all parameters, which satisfy the classical physical limitations.
dc.language.isoeng
dc.publisherElsevier B.V.; Peking University
dc.relation.ispartofseriesCommunications in Nonlinear Science and Numerical Simulation
dc.subject.otherLorenz system
dc.subject.otherself-excited Lorenz attractor
dc.subject.otherKaplan-Yorke dimension
dc.subject.otherLyapunov dimension
dc.subject.otherLyapunov exponents
dc.titleLyapunov dimension formula for the global attractor of the Lorenz system
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201606062912
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-06-06T11:09:11Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange84-103
dc.relation.issn1007-5704
dc.relation.numberinseries0
dc.relation.volume41
dc.type.versionacceptedVersion
dc.rights.copyright© 2016 Elsevier B.V. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1016/j.cnsns.2016.04.032


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