Regularization of discontinuous foliations: Blowing up and sliding conditions via Fenichel theory
| dc.contributor.author | Panazzolo, Daniel | |
| dc.contributor.author | da Silva, Paulo R. [UNESP] | |
| dc.contributor.institution | Informatique et Applications–UHA | |
| dc.contributor.institution | Université de Strasbourg | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2018-12-11T17:14:31Z | |
| dc.date.available | 2018-12-11T17:14:31Z | |
| dc.date.issued | 2017-12-15 | |
| dc.description.abstract | We study the regularization of an oriented 1-foliation F on M∖Σ where M is a smooth manifold and Σ⊂M is a closed subset, which can be interpreted as the discontinuity locus of F. In the spirit of Filippov's work, we define a sliding and sewing dynamics on the discontinuity locus Σ as some sort of limit of the dynamics of a nearby smooth 1-foliation and obtain conditions to identify whether a point belongs to the sliding or sewing regions. | en |
| dc.description.affiliation | Laboratoire de Mathématiques Informatique et Applications–UHA, 4 Rue des Frères Lumière | |
| dc.description.affiliation | Université de Strasbourg | |
| dc.description.affiliation | Departamento de Matemática – IBILCE–UNESP, Rua C. Colombo, 2265 | |
| dc.description.affiliationUnesp | Departamento de Matemática – IBILCE–UNESP, Rua C. Colombo, 2265 | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| 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 | FAPESP: 2013/24541-0 | |
| dc.description.sponsorshipId | FAPESP: 2016/02031-9 | |
| dc.format.extent | 8362-8390 | |
| dc.identifier | http://dx.doi.org/10.1016/j.jde.2017.08.042 | |
| dc.identifier.citation | Journal of Differential Equations, v. 263, n. 12, p. 8362-8390, 2017. | |
| dc.identifier.doi | 10.1016/j.jde.2017.08.042 | |
| dc.identifier.issn | 1090-2732 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.scopus | 2-s2.0-85028878083 | |
| dc.identifier.uri | http://hdl.handle.net/11449/175136 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Differential Equations | |
| dc.relation.ispartofsjr | 2,525 | |
| dc.relation.ispartofsjr | 2,525 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.title | Regularization of discontinuous foliations: Blowing up and sliding conditions via Fenichel theory | en |
| dc.type | Artigo | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |