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dc.contributor.authorLeonov, G.A.
dc.contributor.authorKuznetsov, Nikolay
dc.date.accessioned2016-02-04T12:32:36Z
dc.date.available2016-02-04T12:32:36Z
dc.date.issued2015
dc.identifier.citationLeonov, G. A., & Kuznetsov, N. (2015). On differences and similarities in the analysis of Lorenz, Chen, and Lu systems. <em>Applied Mathematics and Computation</em>, 256, 334-343. <a href="http://dx.doi.org/10.1016/j.amc.2014.12.132">doi:10.1016/j.amc.2014.12.132</a>
dc.identifier.otherTUTKAID_65378
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/48626
dc.description.abstractCurrently it is being actively discussed the question of the equivalence of various Lorenzlike systems and the possibility of universal consideration of their behavior (Algaba et al., 2013a,b, 2014b,c; Chen, 2013; Chen and Yang, 2013; Leonov, 2013a), in view of the possibility of reduction of such systems to the same form with the help of various transformations. In the present paper the differences and similarities in the analysis of the Lorenz, the Chen and the Lu systems are discussed. It is shown that the Chen and the Lu systems stimulate the development of new methods for the analysis of chaotic systems. Open problems are discussed.
dc.language.isoeng
dc.publisherElsevier Inc.
dc.relation.ispartofseriesApplied Mathematics and Computation
dc.subject.otherChaotic analog of 16th Hilbert problem
dc.subject.otherChen system
dc.subject.otherLorenz system
dc.subject.otherLorenz-like systems
dc.subject.otherLu system
dc.subject.otherLyapunov exponent
dc.titleOn differences and similarities in the analysis of Lorenz, Chen, and Lu systems
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201602041438
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikka
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-02-04T10:15:08Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange334-343
dc.relation.issn0096-3003
dc.relation.volume256
dc.type.versionpublishedVersion
dc.rights.copyright© 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license.
dc.rights.accesslevelopenAccessfi
dc.rights.urlhttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1016/j.amc.2014.12.132


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© 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license.
Except where otherwise noted, this item's license is described as © 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license.