| Author(s): |
Belattar, Meryem
;
Cheurfa, Rachid
;
Bendjeddou, Ahmed
;
Santana, Paulo
Total Authors: 4
|
| Document type: | Journal article |
| Source: | APPLIED MATHEMATICS E-NOTES; v. 24, p. 12-pg., 2024-01-01. |
| Abstract | |
A multi-parameter and planar first-order autonomous differential system of degree six is shown to be integrable. More specifically, we show that it possesses a time-dependent first integral and an autonomous one. This enables us to analytically obtain the solutions. Moreover, under some appropriate conditions, we prove that this system admits an explicit hyperbolic algebraic limit cycle. Finally, we draw the possible phase portraits on the Poincare<acute accent> disk and illustrate the geometric behavior of the trajectories of the system. (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: | 21/01799-9 - The study of vector fields with applications at game theory |
| Grantee: | Paulo Henrique Reis Santana |
| Support Opportunities: | Scholarships in Brazil - Doctorate |