dc.creator | Ponce Núñez, Enrique | es |
dc.creator | Ros Padilla, Francisco Javier | es |
dc.creator | Vela Felardo, Elisabet | es |
dc.date.accessioned | 2024-01-29T11:45:49Z | |
dc.date.available | 2024-01-29T11:45:49Z | |
dc.date.issued | 2018-10 | |
dc.identifier.citation | Ponce, E., Ros, F.J. y Vela, E. (2018). The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators. Nonlinear Analysis: Real World Applications, 43, 495-514. https://doi.org/10.1016/j.nonrwa.2018.03.011. | |
dc.identifier.issn | 1468-1218 | es |
dc.identifier.uri | https://hdl.handle.net/11441/154140 | |
dc.description.abstract | Among the boundary equilibrium bifurcations in planar continuous piecewise linear systems with two zones separated by a straight line, the focus–saddle bifurcation corresponds with a one-parameter transition from a situation without equilibria to a configuration with two equilibria, namely a focus and a saddle point. Depending on the dynamics of the two linear systems involved, the focus can appear surrounded by a limit cycle, by a saddle-loop (homoclinic connection) or by nothing else. After introducing a criticality coefficient whose sign discriminates the different possible situations, the focus–saddle bifurcation is quantitatively characterized for the first time. The analysis requires to work in a more general framework, as is the family of planar refracting linear systems with two zones, for which a new result about existence and uniqueness of limit cycles and saddle-loops is also shown. The achieved results are applied to the study of oscillations in an electronic circuit involving a single memristor cell, showing rigorously the appearance of limit cycles via the focus–saddle bifurcation analyzed in the paper. © 2018 Elsevier Ltd | es |
dc.format | application/pdf | es |
dc.format.extent | 20 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Nonlinear Analysis: Real World Applications, 43, 495-514. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bifurcations | es |
dc.subject | Limit cycles | es |
dc.subject | Piecewise linear systems | es |
dc.subject | Qualitative theory of odes | es |
dc.title | The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | MTM2014-56272-C2-1-P | es |
dc.relation.projectID | MTM2015-65608-P | es |
dc.relation.projectID | P12-FQM-1658 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1468121818303158 | es |
dc.identifier.doi | 10.1016/j.nonrwa.2018.03.011 | es |
dc.contributor.group | Universidad de Sevilla. TIC130: Investigación en Sistemas Dinámicos en Ingeniería | es |
dc.journaltitle | Nonlinear Analysis: Real World Applications | es |
dc.publication.volumen | 43 | es |
dc.publication.initialPage | 495 | es |
dc.publication.endPage | 514 | es |
dc.contributor.funder | Ministerio de Economia, Industria y Competitividad (MINECO). España | es |
dc.contributor.funder | Consejería de Economía y Conocimiento, Junta de Andalucía | es |