| Full text | |
| Author(s): |
Gasull, Armengol
;
Santana, Paulo
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Nonlinearity; v. 37, n. 12, p. 15-pg., 2024-12-02. |
| Abstract | |
We study the number of limit cycles that a planar polynomial vector field can have as a function of its number m of monomials. We prove that the number of limit cycles increases at least quadratically with m and we provide good lower bounds for m <= 10. (AU) | |
| FAPESP's process: | 22/14353-1 - Study of polycycles with applications in game theory |
| Grantee: | Paulo Henrique Reis Santana |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| 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 |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |