| Full text | |
| Author(s): |
Pessoa, Claudio
;
Queiroz, Lucas
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Qualitative Theory of Dynamical Systems; v. 21, n. 4, p. 24-pg., 2022-12-01. |
| Abstract | |
Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number n. The parity of n determines whether the existence of an inverse integrating factor implies that the singular point is a nilpotent center. For n odd, this is not always true. We give a characterization for a family of systems having Andreev number n such that the center problem cannot be solved by the inverse integrating factor method. Moreover, we study general properties of this family, determining necessary center conditions for every n and solving the center problem in the case n = 3. (AU) | |
| FAPESP's process: | 19/13040-7 - Nilpotent centers on the center manifolds |
| Grantee: | Lucas Queiroz Arakaki |
| 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 |
| 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 |