| Full text | |
| Author(s): |
Pessoa, Claudio
;
Queiroz, Lucas
;
Ribeiro, Jarne D.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 13-pg., 2023-02-09. |
| Abstract | |
We work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centres on their centre manifolds. Moreover, we obtain an example of a quadratic rigid centre from which is possible to bifurcate 13 limit cycles, which is a new lower bound for three-dimensional quadratic systems. (AU) | |
| 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 |
| 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: | 19/13040-7 - Nilpotent centers on the center manifolds |
| Grantee: | Lucas Queiroz Arakaki |
| Support Opportunities: | Scholarships in Brazil - Doctorate |