On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
| dc.contributor.author | Gouveia, Márcio R.A. [UNESP] | |
| dc.contributor.author | Llibre, Jaume | |
| dc.contributor.author | Novaes, Douglas D. | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universidade Estadual de Campinas (UNICAMP) | |
| dc.date.accessioned | 2018-12-11T16:58:42Z | |
| dc.date.available | 2018-12-11T16:58:42Z | |
| dc.date.issued | 2015-11-15 | |
| dc.description.abstract | In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system. | en |
| dc.description.affiliation | Departamento de Matemática, IBILCE-UNESP, Rua C. Colombo, 2265 | |
| dc.description.affiliation | Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra | |
| dc.description.affiliation | Departamento de Matemática, Universidade Estadual de Campinas, Cidade Universitária Zeferino Vaz, Rua Sérgio Baruque de Holanda, 651 | |
| dc.description.affiliationUnesp | Departamento de Matemática, IBILCE-UNESP, Rua C. Colombo, 2265 | |
| dc.format.extent | 365-374 | |
| dc.identifier | http://dx.doi.org/10.1016/j.amc.2015.09.022 | |
| dc.identifier.citation | Applied Mathematics and Computation, v. 271, p. 365-374. | |
| dc.identifier.doi | 10.1016/j.amc.2015.09.022 | |
| dc.identifier.file | 2-s2.0-84942856402.pdf | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.scopus | 2-s2.0-84942856402 | |
| dc.identifier.uri | http://hdl.handle.net/11449/172107 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.relation.ispartofsjr | 1,065 | |
| dc.rights.accessRights | Acesso aberto | |
| dc.source | Scopus | |
| dc.subject | Discontinuous differential system | |
| dc.subject | Displacement function | |
| dc.subject | Infinite periodic orbit | |
| dc.subject | Limit cycle | |
| dc.subject | Piecewise linear differential system | |
| dc.title | On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems | en |
| dc.type | Artigo | |
| dspace.entity.type | Publication | |
| unesp.author.orcid | 0000-0002-9147-8442[3] | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |
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