| Full text | |
| Author(s): |
Santana, Paulo
Total Authors: 1
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| Document type: | Journal article |
| Source: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. N/A, p. 14-pg., 2024-05-20. |
| Abstract | |
It is known that non-hyperbolic limit cycles are structurally unstable in the set of planar smooth and analytic vector fields. In the polynomial case, it is known only that limit cycles of even degree are structurally unstable. In this paper, we prove that non-hyperbolic limit cycles of odd degree are also structurally unstable in the polynomial case, if we consider Whitney's topology. (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 |