dc.creator | Carmona Centeno, Victoriano | es |
dc.creator | Fernández García, Soledad | es |
dc.creator | Teruel, Antonio E. | es |
dc.date.accessioned | 2024-01-31T07:07:49Z | |
dc.date.available | 2024-01-31T07:07:49Z | |
dc.date.issued | 2019-05 | |
dc.identifier.citation | Carmona Centeno, V., Fernández García, S. y Teruel, A.E. (2019). Saddle-node of limit cycles in planar piecewise linear systems and applications. Discrete and Continuous Dynamical Systems, 39 (9), 5275-5299. https://doi.org/10.3934/dcds.2019215. | |
dc.identifier.issn | 1078-0947 | es |
dc.identifier.issn | 1553-5231 | es |
dc.identifier.uri | https://hdl.handle.net/11441/154287 | |
dc.description.abstract | In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems with three zones. The bifurcation arises from the perturbation of a non-generic situation, where there exists a linear center in the middle zone. We obtain an approximation of the relation between the parameters of the system, such that the saddle-node bifurcation takes place, as well as of the period and amplitude of the non-hyperbolic limit cycle that bifurcates. We consider two applications, first a piecewise linear version of the FitzHugh-Nagumo neuron model of spike generation and second an electronic circuit, the memristor oscillator. | es |
dc.format | application/pdf | es |
dc.format.extent | 25 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems, 39 (9), 5275-5299. | |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Piecewise linear systems | es |
dc.subject | Bifurcations | es |
dc.subject | Saddle-node of limit cycles | es |
dc.subject | Neuroscience | es |
dc.title | Saddle-node of limit cycles in planar piecewise linear systems and applications | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2015-65608-P | es |
dc.relation.projectID | P12-FQM-1658 | es |
dc.relation.projectID | MTM2015-65608-P | es |
dc.relation.projectID | P12-FQM-1658 | es |
dc.relation.publisherversion | https://www.aimsciences.org/article/doi/10.3934/dcds.2019215 | es |
dc.identifier.doi | 10.3934/dcds.2019215 | es |
dc.contributor.group | Universidad de Sevilla. TIC130: Investigación en Sistemas Dinámicos en Ingeniería | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
idus.validador.nota | Posprint. Accepted version | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems | es |
dc.publication.volumen | 39 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 5275 | es |
dc.publication.endPage | 5299 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad through the project MTM2015-65608-P | es |
dc.contributor.funder | Junta de Andaucía by project P12-FQM-1658 | es |
dc.contributor.funder | University of Seville VPPI-US and partially supported by Ministerio de Economía y Competitividad through the project MTM2015-65608-P | es |
dc.contributor.funder | Junta de Andaucía by project P12-FQM-1658 | es |