| Full text | |
| Author(s): |
Buzzi, Claudio A.
;
Rodero, Ana Livia
;
Torregrosa, Joan
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Electronic Journal of Qualitative Theory of Differential Equations; v. N/A, n. 43, p. 27-pg., 2024-01-01. |
| Abstract | |
We consider the class X of 3-dimensional piecewise smooth vector fields that admit a first integral which leaves invariant any sphere centered at the origin. In this class, we prove that a linear vector field does not admit isolated invariant cones. Moreover, we provide the existence of at least ten 1-parameter families of crossing closed trajectories for quadratic vector fields in X. (AU) | |
| FAPESP's process: | 19/00440-7 - Study of limit cycles in piecewise smooth systems on the sphere |
| Grantee: | Ana Livia Rodero |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 17/08779-8 - Thom-Smale Program for piecewise smooth differential systems in low dimensions manifolds |
| Grantee: | Ana Livia Rodero |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 21/12630-5 - Cyclicity and local structural stability of piecewise vector fields |
| Grantee: | Ana Livia Rodero |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |