Topological classification of limit cycles of piecewise smooth dynamical systems and its associated Non-Standard Bifurcations

Vista sencilla de ítem
dc.citation.journalTitleENTROPY
dc.contributor.authorAlexander Taborda, John
dc.contributor.authorArango, Ivan
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupMecatrónica y Diseño de Máquinasspa
dc.creatorAlexander Taborda, John
dc.creatorArango, Ivan
dc.date.accessioned2021-04-16T20:20:47Z
dc.date.available2021-04-16T20:20:47Z
dc.date.issued2014-04-01
dc.description.abstractIn this paper, we propose a novel strategy for the synthesis and the classification of nonsmooth limit cycles and its bifurcations (named Non-Standard Bifurcations or Discontinuity Induced Bifurcations or DIBs) in n-dimensional piecewise-smooth dynamical systems, particularly Continuous PWS and Discontinuous PWS (or Filippov-type PWS) systems. The proposed qualitative approach explicitly includes two main aspects: multiple discontinuity boundaries (DBs) in the phase space and multiple intersections between DBs (or corner manifolds-CMs). Previous classifications of DIBs of limit cycles have been restricted to generic cases with a single DB or a single CM. We use the definition of piecewise topological equivalence in order to synthesize all possibilities of nonsmooth limit cycles. Families, groups and subgroups of cycles are defined depending on smoothness zones and discontinuity boundaries (DB) involved. The synthesized cycles are used to define bifurcation patterns when the system is perturbed with parametric changes. Four families of DIBs of limit cycles are defined depending on the properties of the cycles involved. Well-known and novel bifurcations can be classified using this approach. © 2014 by the authors.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1265
dc.identifier.doi10.3390/e16041949
dc.identifier.issn10994300
dc.identifier.otherWOS;000335001500007
dc.identifier.otherSCOPUS;2-s2.0-84899140927
dc.identifier.urihttp://hdl.handle.net/10784/29296
dc.language.isoeng
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84899140927&doi=10.3390%2fe16041949&partnerID=40&md5=a9106c8b25e7eeae7210fdd99a519bf1
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/1099-4300
dc.sourceENTROPY
dc.subjectBifurcation theoryeng
dc.subjectLimit cycleseng
dc.subjectNonsmooth bifurcationseng
dc.subjectPiecewise-smooth systemseng
dc.subjectTopological equivalenceeng
dc.titleTopological classification of limit cycles of piecewise smooth dynamical systems and its associated Non-Standard Bifurcationseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

Archivos

Bloque original
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
entropy-16-01949.pdf
Tamaño:
1.52 MB
Formato:
Adobe Portable Document Format
Descripción:
Descargar

Colecciones

Artículos