Bifurcations and Sequences of Elements in Non-Smooth Systems Cycles

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dc.citation.epage230spa
dc.citation.issue3spa
dc.citation.journalAbbreviatedTitleAJCMspa
dc.citation.journalTitleAmerican Journal of Computational Mathematicseng
dc.citation.journalTitleAmerican Journal of Computational Mathematicsspa
dc.citation.spage220spa
dc.citation.volume3spa
dc.contributor.authorArango, Iván
dc.contributor.authorPineda, Fabio
dc.contributor.authorRuíz, Óscar
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-18T22:04:36Z
dc.date.available2016-11-18T22:04:36Z
dc.date.issued2013-09
dc.description.abstractThis 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 segmentseng
dc.formatapplication/pdfeng
dc.identifier.doi10.4236/ajcm.2013.33032
dc.identifier.issn2161-1203
dc.identifier.urihttp://hdl.handle.net/10784/9673
dc.language.isoengeng
dc.publisherScientific Research Publishingspa
dc.relation.ispartofAmerican Journal of Computational Mathematics, Volume 3, Issue 3, pp 220-230spa
dc.relation.urihttp://www.scirp.org/journal/PaperInformation.aspx?PaperID=36085
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.localAcceso abiertospa
dc.subject.keywordBranching processesspa
dc.subject.keywordTopologyspa
dc.subject.keywordSystem analysisspa
dc.subject.keywordDifferentiable dynamical systemsspa
dc.subject.keywordDiscontinuityspa
dc.subject.keywordBranching processeseng
dc.subject.keywordTopologyeng
dc.subject.keywordSystem analysiseng
dc.subject.keywordDifferentiable dynamical systemseng
dc.subject.keywordDiscontinuityeng
dc.subject.lembPROCESOS DE BIFURCACIÓNspa
dc.subject.lembTOPOLOGÍAspa
dc.subject.lembANÁLISIS DE SISTEMASspa
dc.subject.lembSISTEMAS DINÁMICOS DIFERENCIALESspa
dc.subject.lembDISCONTINUIDADspa
dc.titleBifurcations and Sequences of Elements in Non-Smooth Systems Cycleseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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