| Full text | |
| Author(s): |
Pessoa, Claudio
;
Ribeiro, Ronisio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 32, n. 08, p. 16-pg., 2022-06-30. |
| Abstract | |
In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus in a discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight lines. We prove that if the central subsystem, i.e. the system defined between the two parallel lines, has a real center and the other subsystems have centers or saddles, then we have at least three limit cycles that appear after perturbations of the periodic annulus. For this, we study the number of zeros of a Melnikov function for piecewise Hamiltonian system and present a normal form for this system in order to simplify the computations. (AU) | |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/19726-5 - Dulac's Problem and of the Focus Center on Two-Dimensional Manifolds |
| Grantee: | Cláudio Gomes Pessoa |
| Support Opportunities: | Scholarships abroad - Research |