Normal forms and nonlocal chaotic behavior in Sprott systems

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dc.authorid0000-0002-4667-9659
dc.authorid0000-0002-1210-2448
dc.contributor.authorPerdahçı, Nazım Ziyaen_US
dc.contributor.authorHacınlıyan, Avadis Simonen_US
dc.date.accessioned2015-01-15T22:59:59Z
dc.date.available2015-01-15T22:59:59Z
dc.date.issued2003-06
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Physicsen_US
dc.descriptionThis work is partially supported by the Boğaziçi University Research Fund under grant 99B301 and the Scientific and Technical Research Council of Turkey.en_US
dc.description.abstractThe Sprott systems are used as benchmarks for investigating the applicability of the normal form transformation in estimating nonlocal properties of attractors such as positive and zero Liapunov exponents. Possibility of a relation between complex conjugate eigenvalue pairs and zero Liapunov exponents; conditions under which the normal form expansion can represent the attractor; an averaging relation for the largest Liapunov exponent based on this representation are studied. Nonlinear transformations that can change the order of a resonance are considered. In spite of their convergence problems, it is seen that the normal form approach can give reasonable estimates of nonlocal properties of attractors near Hopf bifurcations.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumuen_US
dc.description.sponsorshipBoğaziçi Üniversitesien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationZiya Perdahçı, N. & Hacınlıyan, A. (2003). Normal forms and nonlocal chaotic behavior in sprott systems. International Journal of Engineering Science, 41(10), 1085-1108. doi:10.1016/S0020-7225(02)00325-7en_US
dc.identifier.doi10.1016/S0020-7225(02)00325-7
dc.identifier.endpage1108
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.issue10
dc.identifier.scopus2-s2.0-0037409493
dc.identifier.scopusqualityQ1
dc.identifier.startpage1085
dc.identifier.urihttps://hdl.handle.net/11729/134
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(02)00325-7
dc.identifier.volume41
dc.identifier.wosWOS:000182226400003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorPerdahçı, Nazım Ziyaen_US
dc.institutionauthorHacınlıyan, Avadis Simonen_US
dc.institutionauthorid0000-0002-4667-9659
dc.institutionauthorid0000-0002-1210-2448
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.ispartofInternational Journal of Engineering Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChaosen_US
dc.subjectNormal formsen_US
dc.subjectLiapunov exponentsen_US
dc.subjectNonsemisimple critical modeen_US
dc.subjectLyapunov exponentsen_US
dc.subjectDynamical-systemsen_US
dc.subjectNonlinear-systemsen_US
dc.subjectStabilityen_US
dc.subjectBenchmarkingen_US
dc.subjectBifurcation (mathematics)en_US
dc.subjectChaos theoryen_US
dc.subjectLyapunov methodsen_US
dc.subjectMathematical transformationsen_US
dc.subjectAttractorsen_US
dc.subjectNonlinear systemsen_US
dc.titleNormal forms and nonlocal chaotic behavior in Sprott systemsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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