| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Itajuba, Inst Matemat & Computac, Ave BPS 1303, BR-37500903 Itajuba, MG - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Results in Mathematics; v. 76, n. 1 MAR 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In the first part of the article we study polynomial vector fields of arbitrary degree in R3 having an algebraic surface of revolution invariant by their flows. In the second part, we restrict our attention to an important case where the algebraic surface of revolution is a cubic surface. We characterize all the possible configurations of invariant meridians and parallels that the vector fields can exhibit. Additionally we shall consider when the invariant parallels can be limit cycles. The results obtained in the second part can be adapted to the general surfaces studied in the first part. (AU) | |
| FAPESP's process: | 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision |
| Grantee: | Farid Tari |
| Support Opportunities: | Research Projects - Thematic Grants |