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dc.contributor.authorBonet Revés, Carles
dc.contributor.authorMartínez-Seara Alonso, M. Teresa
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-01-23T08:27:47Z
dc.date.available2019-01-23T08:27:47Z
dc.date.issued2017
dc.identifier.citationBonet, C., Martinez-seara, T. Chaos in the hysteretic grazing-sliding codimension-one saddle-node bifurcation of piecewise dynamical systems. A: Congreso de Ecuaciones Diferenciales y Aplicaciones y Congreso de Matemàtica Aplicada. "CEDYA 2017 - Communications Book". UP4, Institute of Sciences, S.L., 2017, p. 73-77.
dc.identifier.isbn978-84-944402-1-2
dc.identifier.urihttp://hdl.handle.net/2117/127395
dc.description.abstractWe present two ways of regularizing a parameter family of piecewise smooth dynamical systems undergoing a grazing- sliding bifurcation. We use the Sotomayor-Teixeira regularization and prove that the bifurcation is a saddle-node (see [ ? ]). Then we perform a hysteretic regularization. However, in spite that the two regularization will give the same dynamics in the sliding modes (see [ ? ]), when a tangency appears, so is in the case of grazing-sliding, the hysteretic process generate chaotic dynamics. Finally, we smooth the hysteresis by embedding the system in a higher dimension. Now the discontinuous control variable u is also a continuous time dependent variable although a fast-fast one. We then encounter loop feedback chaotic behaviour
dc.format.extent5 p.
dc.language.isoeng
dc.publisherUP4, Institute of Sciences, S.L.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferentiable dynamical systems
dc.titleChaos in the hysteretic grazing-sliding codimension-one saddle-node bifurcation of piecewise dynamical systems
dc.typeConference lecture
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.relation.publisherversionhttp://up4sciences.org/bookdetails/
dc.rights.accessOpen Access
local.identifier.drac23564008
dc.description.versionPostprint (author's final draft)
local.citation.authorBonet, C.; Martinez-seara, Tere
local.citation.contributorCongreso de Ecuaciones Diferenciales y Aplicaciones y Congreso de Matemàtica Aplicada
local.citation.publicationNameCEDYA 2017 - Communications Book
local.citation.startingPage73
local.citation.endingPage77


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