| Full text | |
| Author(s): |
Carvalho, Tiago
Total Authors: 1
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 134, p. 31-pg., 2024-04-17. |
| Abstract | |
In this paper it is exhibited the bifurcation scenario concerning a typical singularity of planar piecewise smooth vector fields in two zones. This singularity is characterized by a quadratic contact of one vector field and a quartic contact of another vector field at the same point of the switching manifold. By means of a three parameter perturbation, we observe the presence of bifurcations like: Hopf Bifurcation, Sliding Hopf Bifurcation, the birth and annihilation of chaotic scenarios, among others. The two and three dimensional bifurcation diagrams are included. (AU) | |
| FAPESP's process: | 21/12395-6 - Piecewise smooth vector fields: theory and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 22/02819-6 - Intermittent vector fields: theoretical aspects and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Research Grants - Initial Project |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |