| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] IBILCE UNESP, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] FC UNESP, BR-17033360 Bauru, SP - Brazil
[3] IMECC UNICAMP, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS; v. 11, n. 4, p. 1402-1424, 2012. |
| Web of Science Citations: | 8 |
| Abstract | |
This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the bifurcation diagrams are exhibited. Our main results describe a particular unfolding of the so-called fold-cusp singularity by means of the variation of 3 parameters. (AU) | |
| FAPESP's process: | 10/18190-2 - Singularities of 3D piecewise smooth Filippov systems |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/00481-6 - Regularization, singular perturbation and Averaging method applied to piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 07/08707-5 - Study of minimal sets for discontinuous systems via singular perturbations |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Scholarships in Brazil - Doctorate |