dc.creator | Freire Macías, Emilio | es |
dc.creator | Ponce Núñez, Enrique | es |
dc.creator | Ros Padilla, Francisco Javier | es |
dc.creator | Vela Felardo, Elisabet | es |
dc.creator | Amador, A. | es |
dc.date.accessioned | 2024-01-30T08:29:46Z | |
dc.date.available | 2024-01-30T08:29:46Z | |
dc.date.issued | 2020-08 | |
dc.identifier.citation | Freire, E., Ponce, E., Ros, F.J., Vela, E. y Amador, A. (2020). Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator. Nonlinear Analysis: Real World Applications, 544, 103112. https://doi.org/10.1016/j.nonrwa.2020.103112. | |
dc.identifier.issn | 1468-1218 | es |
dc.identifier.uri | https://hdl.handle.net/11441/154193 | |
dc.description.abstract | In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three zones is analyzed. By adapting the so-called closing equations method, which constitutes a suitable technique to detect limit cycles bifurcation in piecewise linear systems, we give for the first time a complete characterization of the existence and stability of the limit cycle of large amplitude that bifurcates from the point at infinity. Analytical expressions for the period and amplitude of the bifurcating limit cycles are obtained. As an application of these results, we study the appearance of a large amplitude limit cycle in a Bonhoeffer–van der Pol oscillator. © 2020 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, 544, 103112. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bifurcations at infinity | es |
dc.subject | Bonhoeffer–van der Pol oscillator | es |
dc.subject | Hopf bifurcation | es |
dc.subject | Piecewise linear systems | es |
dc.title | Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator | 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 | MTM2015-65608-P | es |
dc.relation.projectID | MTM-2014-56272-C2-1-P | es |
dc.relation.projectID | PGC2018-096265-B-I00 | es |
dc.relation.projectID | P12-FQM-1658 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1468121820300304 | es |
dc.identifier.doi | 10.1016/j.nonrwa.2020.103112 | 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 | 544 | es |
dc.publication.initialPage | 103112 | es |
dc.contributor.funder | Pontificia Universidad Javeriana Cali-Colombia | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Consejería de Economía y Conocimiento, Junta de Andalucía | es |