Publicação: Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
| dc.contributor.author | de Carvalho Braga, Denis | |
| dc.contributor.author | Fernandes da Fonseca, Alexander | |
| dc.contributor.author | Gonçalves, Luiz Fernando [UNESP] | |
| dc.contributor.author | Mello, Luis Fernando | |
| dc.contributor.institution | Universidade Federal de Itajubá | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2020-12-12T01:07:49Z | |
| dc.date.available | 2020-12-12T01:07:49Z | |
| dc.date.issued | 2020-04-01 | |
| dc.description.abstract | We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov coefficients. As a consequence, the bifurcation diagrams, illustrating the number, types and positions of the bifurcating small amplitude crossing limit cycles for these vector fields, are determined. | en |
| dc.description.affiliation | Instituto de Matemática e Computação Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500–903 | |
| dc.description.affiliation | Instituto de Biociências Letras e Ciências Exatas UNESP, Rua Cristóvão Colombo, 2265, CEP 15054–000 | |
| dc.description.affiliationUnesp | Instituto de Biociências Letras e Ciências Exatas UNESP, Rua Cristóvão Colombo, 2265, CEP 15054–000 | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) | |
| dc.description.sponsorshipId | CAPES: 001 | |
| dc.description.sponsorshipId | FAPEMIG: APQ-01158-17 | |
| dc.identifier | http://dx.doi.org/10.1016/j.jmaa.2019.123692 | |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications, v. 484, n. 1, 2020. | |
| dc.identifier.doi | 10.1016/j.jmaa.2019.123692 | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.scopus | 2-s2.0-85076222955 | |
| dc.identifier.uri | http://hdl.handle.net/11449/198256 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.source | Scopus | |
| dc.subject | Bifurcation | |
| dc.subject | Fold-fold singularity | |
| dc.subject | Hamiltonian vector field | |
| dc.subject | Limit cycle | |
| dc.subject | Piecewise smooth vector field | |
| dc.title | Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems | en |
| dc.type | Artigo | |
| dspace.entity.type | Publication |