Analyzing sliding bifurcations on discontinuity boundary of Filippov systems
| dc.contributor.author | Arango, Ivan | |
| dc.contributor.author | Taborda, John Alexander | |
| dc.contributor.department | Universidad EAFIT. Departamento de Ingeniería Mecánica | spa |
| dc.contributor.researchgroup | Mecatrónica y Diseño de Máquinas | spa |
| dc.creator | Arango, Ivan | |
| dc.creator | Taborda, John Alexander | |
| dc.date.accessioned | 2021-04-16T20:23:09Z | |
| dc.date.available | 2021-04-16T20:23:09Z | |
| dc.date.issued | 2008-01-01 | |
| dc.description.abstract | In this paper, we propose a novel method to analyze sliding bifurcations in discontinuous piecewise smooth autonomous systems (denominated Filippov systems) on the planar neighborhood of the discontinuity boundary (DB). We use a classification recently proposed of points and events on DB to characterize the one-parameter sliding bifurcations. For each parameter value, crossing and sliding segments on DB are determined by means of existence conditions of two crossing points (C), four non-singular sliding points (S) and thirty-five singular sliding points (T, V, Pi, Psi, Q or Phi). Boolean-valued functions are used to formulate these conditions based on geometric criterions. This method was proven with the full catalog of local bifurcations that it was proposed recently. A topological normal form is used as illustrative example of the method. | eng |
| dc.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1462 | |
| dc.identifier.issn | 17924308 | |
| dc.identifier.other | WOS;000255184600024 | |
| dc.identifier.uri | http://hdl.handle.net/10784/29334 | |
| dc.language.iso | eng | |
| dc.publisher | WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC | |
| dc.relation.uri | https://www.researchgate.net/publication/228731186_Analyzing_sliding_bifurcations_on_discontinuity_boundary_of_Filippov_systems | |
| dc.rights | WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC | |
| dc.source | Mathematics And Computers In Science And Engineering | |
| dc.subject.keyword | bifurcation theory | eng |
| dc.subject.keyword | sliding bifurcations | eng |
| dc.subject.keyword | piecewise-smooth systems | eng |
| dc.subject.keyword | Filippov systems | eng |
| dc.title | Analyzing sliding bifurcations on discontinuity boundary of Filippov systems | eng |
| dc.type | info:eu-repo/semantics/conferencePaper | eng |
| dc.type | conferencePaper | eng |
| dc.type | info:eu-repo/semantics/publishedVersion | eng |
| dc.type | publishedVersion | eng |
| dc.type.local | Documento de conferencia | spa |