| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto - Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193 - Spain
[3] Ctr Recerca Matemat, Campus Bellaterra, Barcelona 08193 - Spain
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 20, n. 10, p. 3301-3329, OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We present a generalization of the most usual symmetries in differential equations known as the time-reversibility and the equivariance ones. We check that the typical properties are also valid for the new definition that unifies both. With it, we are able to present new families of planar polynomial vector fields having equilibrium points of center type. Moreover, we provide the highest lower bound for the local cyclicity of an equilibrium point of polynomial vector fields of degree 6, M(6) >= 48. (AU) | |
| FAPESP's process: | 17/03352-6 - Limit cycles in some piecewise differential systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| 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: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |