| Full text | |
| Author(s): |
Gasull, Armengol
;
Santana, Paulo
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 153, n. 2, p. 9-pg., 2024-12-17. |
| Abstract | |
Let H( n) be the maximum number of limit cycles that a planar polynomial vector field of degree n can have. In this paper we prove that H( n) is realizable by structurally stable vector fields with only hyperbolic limit cycles and that it is a strictly increasing function whenever it is finite. (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: | 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 |