Local cyclicity in low degree planar piecewise polynomial vector fields
| dc.contributor.author | Gouveia, Luiz F. S. [UNESP] | |
| dc.contributor.author | Torregrosa, Joan | |
| dc.contributor.institution | Univ Autonoma Barcelona | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Ctr Recerca Matemat | |
| dc.date.accessioned | 2021-06-25T12:41:24Z | |
| dc.date.available | 2021-06-25T12:41:24Z | |
| dc.date.issued | 2021-08-01 | |
| dc.description.abstract | In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small amplitude. They are all nested and surrounding one equilibrium point or a sliding segment. We provide lower bounds for the local cyclicity for planar piecewise polynomial systems, M-c(p)(n), with degrees 2, 3, 4, and 5. More concretely, Mc p (2) >= 13, M-c(p) (3) >= 26, M-c(p) (4) >= 40, and M-c(p) (5) >= 58. The computations use parallelization algorithms. (C) 2020 Elsevier Ltd. All rights reserved. | en |
| dc.description.affiliation | Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain | |
| dc.description.affiliation | Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil | |
| dc.description.affiliation | Ctr Recerca Matemat, Campus Bellaterra, Barcelona 08193, Spain | |
| dc.description.affiliationUnesp | Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil | |
| dc.description.sponsorship | AGAUR | |
| dc.description.sponsorship | Ministerio de Ciencia, Innovacion y Universidades, Spain -Agencia Estatal de Investigacion | |
| dc.description.sponsorship | European Community | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorshipId | AGAUR: 2017 SGR 1617 | |
| dc.description.sponsorshipId | Ministerio de Ciencia, Innovacion y Universidades, Spain -Agencia Estatal de Investigacion: MTM2016-77278-P | |
| dc.description.sponsorshipId | Ministerio de Ciencia, Innovacion y Universidades, Spain -Agencia Estatal de Investigacion: PID2019-104658GB-I00 | |
| dc.description.sponsorshipId | European Community: H2020-MSCA-RISE-2017-777911 | |
| dc.description.sponsorshipId | CNPq: 200484/2015-0 | |
| dc.description.sponsorshipId | FAPESP: 2020/04717-0 | |
| dc.format.extent | 19 | |
| dc.identifier | http://dx.doi.org/10.1016/j.nonrwa.2020.103278 | |
| dc.identifier.citation | Nonlinear Analysis-real World Applications. Oxford: Pergamon-elsevier Science Ltd, v. 60, 19 p., 2021. | |
| dc.identifier.doi | 10.1016/j.nonrwa.2020.103278 | |
| dc.identifier.issn | 1468-1218 | |
| dc.identifier.uri | http://hdl.handle.net/11449/210159 | |
| dc.identifier.wos | WOS:000633361700001 | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier B.V. | |
| dc.relation.ispartof | Nonlinear Analysis-real World Applications | |
| dc.source | Web of Science | |
| dc.subject | Piecewise vector field | |
| dc.subject | Piecewise center cyclicity | |
| dc.subject | Lyapunov quantities | |
| dc.title | Local cyclicity in low degree planar piecewise polynomial vector fields | en |
| dc.type | Artigo | |
| dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dcterms.rightsHolder | Elsevier B.V. | |
| unesp.author.orcid | 0000-0002-2753-1827[2] | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |