| Texto completo | |
| Autor(es): |
Santana, Paulo
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Qualitative Theory of Dynamical Systems; v. 22, n. 4, p. 33-pg., 2023-12-01. |
| Resumo | |
In this paper we extend three results about polycycles (also known as graphs) of planar smooth vector field to planar non-smooth vector fields (also known as piecewise vector fields, or Filippov systems). The polycycles considered here may contain hyperbolic saddles, semi-hyperbolic saddles, saddle-nodes and tangential singularities of any degree. We determine when the polycycle is stable or unstable. We prove the bifurcation of at most one limit cycle in some conditions and at least one limit cycle for each singularity in other conditions. (AU) | |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 21/01799-9 - Estudo de campos de vetores com aplicações na teoria dos jogos |
| Beneficiário: | Paulo Henrique Reis Santana |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |