Publicação: Asymptotic Expansion of the Heteroclinic Bifurcation for the Planar Normal Form of the 1:2 Resonance
| dc.contributor.author | Roberto, Luci A.F. [UNESP] | |
| dc.contributor.author | Da Silva, Paulo R. [UNESP] | |
| dc.contributor.author | Torregrosa, Joan | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universitat Autònoma de Barcelona | |
| dc.date.accessioned | 2018-12-11T16:41:10Z | |
| dc.date.available | 2018-12-11T16:41:10Z | |
| dc.date.issued | 2016-01-01 | |
| dc.description.abstract | We consider the family of planar differential systems depending on two real parameters x = y, y = δ1x + δ2y + x3 - x2y. This system corresponds to the normal form for the 1:2 resonance which exhibits a heteroclinic connection. The phase portrait of the system has a limit cycle which disappears in the heteroclinic connection for the parameter values on the curve δ2 = c(δ1) = -1/5δ1 + O(δ1 2), δ1 < 0. We significantly improve the knowledge of this curve in a neighborhood of the origin. | en |
| dc.description.affiliation | Instituto de Biociências Letras e Ciências Exatas UNESP - Universidade Estadual Paulista | |
| dc.description.affiliation | Departament de Matemàtiques Edifici C Universitat Autònoma de Barcelona | |
| dc.description.affiliationUnesp | Instituto de Biociências Letras e Ciências Exatas UNESP - Universidade Estadual Paulista | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.identifier | http://dx.doi.org/10.1142/S0218127416500176 | |
| dc.identifier.citation | International Journal of Bifurcation and Chaos, v. 26, n. 1, 2016. | |
| dc.identifier.doi | 10.1142/S0218127416500176 | |
| dc.identifier.issn | 0218-1274 | |
| dc.identifier.scopus | 2-s2.0-84959088754 | |
| dc.identifier.uri | http://hdl.handle.net/11449/168414 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | International Journal of Bifurcation and Chaos | |
| dc.relation.ispartofsjr | 0,568 | |
| dc.rights.accessRights | Acesso restrito | pt |
| dc.source | Scopus | |
| dc.subject | bifurcation diagram | |
| dc.subject | Homoclinic connections | |
| dc.subject | planar systems | |
| dc.title | Asymptotic Expansion of the Heteroclinic Bifurcation for the Planar Normal Form of the 1:2 Resonance | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |