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dc.creatorArango, Iván
dc.creatorPineda, Fabio
dc.creatorRuíz, Óscar
dc.date.available2016-11-18T22:04:36Z
dc.date.issued2013-09
dc.identifier.issn2161-1203spa
dc.identifier.urihttp://hdl.handle.net/10784/9673
dc.descriptionThis article describes the implementation of a novel method for detection and continuation of bifurcations in non- smooth complex dynamic systems -- The method is an alternative to existing ones for the follow-up of associated phe- nomena, precisely in the circumstances in which the traditional ones have limitations (simultaneous impact, Filippov and first derivative discontinuities and multiple discontinuous boundaries) -- The topology of cycles in non-smooth sys- tems is determined by a group of ordered segments and points of different regions and their boundaries -- In this article, we compare the limit cycles of non-smooth systems against the sequences of elements, in order to find patterns -- To achieve this goal, a method was used, which characterizes and records the elements comprising the cycles in the order that they appear during the integration process -- The characterization discriminates: a) types of points and segments; b) direction of sliding segments; and c) regions or discontinuity boundaries to which each element belongs -- When a change takes place in the value of a parameter of a system, our comparison method is an alternative to determine topo- logical changes and hence bifurcations and associated phenomena -- This comparison has been tested in systems with discontinuities of three types: 1) impact; 2) Filippov and 3) first derivative discontinuities -- By coding well-known cy- cles as sequences of elements, an initial comparison database was built -- Our comparison method offers a convenient approach for large systems with more than two regions and more than two sliding segmentsspa
dc.formatapplication/pdfeng
dc.language.isoengspa
dc.publisherScientific Research Publishingspa
dc.relation.ispartofAmerican Journal of Computational Mathematics, Volume 3, Issue 3, pp 220-230spa
dc.relation.isversionofhttp://www.scirp.org/journal/PaperInformation.aspx?PaperID=36085spa
dc.rightsinfo:eu-repo/semantics/openAccesseng
dc.titleBifurcations and Sequences of Elements in Non-Smooth Systems Cyclesspa
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.rights.accessRightsopenAccessspa
dc.subject.lembPROCESOS DE BIFURCACIÓNspa
dc.subject.lembTOPOLOGÍAspa
dc.subject.lembANÁLISIS DE SISTEMASspa
dc.subject.lembSISTEMAS DINÁMICOS DIFERENCIALESspa
dc.subject.lembDISCONTINUIDADspa
dc.type.spaArtículospa
dc.subject.keywordBranching processesspa
dc.subject.keywordTopologyspa
dc.subject.keywordSystem analysisspa
dc.subject.keywordDifferentiable dynamical systemsspa
dc.subject.keywordDiscontinuityspa
dc.rights.accesoLibre accesospa
dc.date.accessioned2016-11-18T22:04:36Z
dc.type.hasVersionpublishedVersionspa
dc.tipo.versionObra publicadaspa
dc.citation.journalTitleAmerican Journal of Computational Mathematicsspa
dc.citation.volume3spa
dc.citation.issue3spa
dc.citation.spage220spa
dc.citation.epage230spa
dc.citation.journalAbbreviatedTitleAJCMspa
dc.identifier.doi10.4236/ajcm.2013.33032spa


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