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Artículo
On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
dc.creator | Llibre Saló, Jaume | es |
dc.creator | Ponce Núñez, Enrique | es |
dc.creator | Torres Peral, Francisco | es |
dc.date.accessioned | 2017-04-27T07:45:10Z | |
dc.date.available | 2017-04-27T07:45:10Z | |
dc.date.issued | 2008 | |
dc.identifier.citation | Llibre Saló, J., Ponce Núñez, E. y Torres Peral, F. (2008). On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities. Nonlinearity, 21 (9), 2121-2142. | |
dc.identifier.issn | 0951-7715 | es |
dc.identifier.uri | http://hdl.handle.net/11441/58704 | |
dc.description.abstract | In this paper we study the non-existence and the uniqueness of limit cycles for the Liénard differential equation of the form x'' − f(x)x' + g(x) = 0 where the functions f and g satisfy xf(x) > 0 and xg(x) > 0 for x ≠ 0 but can be discontinuous at x = 0. In particular, our results allow us to prove the non-existence of limit cycles under suitable assumptions, and also prove the existence and uniqueness of a limit cycle in a class of discontinuous Liénard systems which are relevant in engineering applications. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP Science | es |
dc.relation.ispartof | Nonlinearity, 21 (9), 2121-2142. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Liénard differential equations | es |
dc.title | On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.publisherversion | http://iopscience.iop.org/article/10.1088/0951-7715/21/9/013 | es |
dc.identifier.doi | 10.1088/0951-7715/21/9/013 | es |
idus.format.extent | 23 | es |
dc.journaltitle | Nonlinearity | es |
dc.publication.volumen | 21 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 2121 | es |
dc.publication.endPage | 2142 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Nonlinearity_Ponce_2008_prepri ... | 232.3Kb | [PDF] | Ver/ | |