| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Nonlinearity; v. 31, n. 5, p. 2083-2104, MAY 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for k-parameter families of planar vector fields. In the present study we focus on a qualitative analysis of 2-parameter families, Z(alpha,beta), of planar Filippov systems assuming that Z(0,0) presents a codimension-two minimal set. Such object, named elementary simple two-fold cycle, is characterized by a regular trajectory connecting a visible two-fold singularity to itself, for which the second derivative of the first return map is nonvanishing. We analyzed the codimension-two scenario through the exhibition of its bifurcation diagram. (AU) | |
| FAPESP's process: | 16/11471-2 - Sliding motion in discontinuous dynamical systems: periodic solutions, homoclinic connections, and nonlinear sliding modes |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/21078-8 - Periodic solutions dor discontinuous dynamical systems with symmetry |
| Grantee: | Iris de Oliveira Zeli |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 12/23591-1 - Singularities theory on dynamical systems in presence of symmetry |
| Grantee: | Iris de Oliveira Zeli |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |