dc.creator | Freire Macías, Emilio | es |
dc.creator | Ponce Núñez, Enrique | es |
dc.creator | Ros Padilla, Francisco Javier | es |
dc.date.accessioned | 2017-04-18T13:56:40Z | |
dc.date.available | 2017-04-18T13:56:40Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Freire Macías, E., Ponce Núñez, E. y Ros Padilla, F.J. (2005). The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems. SIAM Journal on Applied Mathematics, 65 (6), 1933-1951. | |
dc.identifier.issn | 00361399 | es |
dc.identifier.uri | http://hdl.handle.net/11441/57758 | |
dc.description.abstract | The birth of limit cycles in 3D (three-dimensional) piecewise linear systems for the
relevant case of symmetrical oscillators is considered. A technique already used by the authors in
planar systems is extended to cope with 3D systems, where a greater complexity is involved.
Under some given nondegeneracy conditions, the corresponding theorem characterizing the bifurcation
is stated. In terms of the deviation from the critical value of the bifurcation parameter,
expressions in the form of power series for the period, amplitude, and the characteristic multipliers
of the bifurcating limit cycle are also obtained.
The results are applied to accurately predict the birth of symmetrical periodic oscillations in a
3D electronic circuit genealogically related to the classical Van der Pol oscillator. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología DPI2000-1218-C04-04 | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología BFM2001-2668 | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología BFM2003-00336 | es |
dc.description.sponsorship | Junta de Andalucía TIC-130 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Applied Mathematics, 65 (6), 1933-1951. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Piecewise linear systems | es |
dc.subject | Bifurcation theory | es |
dc.subject | Limit cycles | es |
dc.title | The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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.relation.projectID | DPI2000-1218-C04-04 | es |
dc.relation.projectID | BFM2001-2668 | es |
dc.relation.projectID | BFM2003-00336 | es |
dc.relation.projectID | TIC-130 | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/abs/10.1137/040606107 | es |
dc.identifier.doi | 10.1137/040606107 | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | SIAM Journal on Applied Mathematics | es |
dc.publication.volumen | 65 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 1933 | es |
dc.publication.endPage | 1951 | es |