Bravo, José Luis and Calderón, Luis Ángel and Ojeda, Ignacio (2023) Rational limit cycles of Abel differential equations. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (47). pp. 1-13. ISSN 1417-3875
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Official URL: https://doi.org/10.14232/ejqtde.2023.1.47
Abstract
We study the number of rational limit cycles of the Abel equation x′ = A(t)x3 + B(t)x2, where A(t) and B(t) are real trigonometric polynomials. We show that this number is at most the degree of A(t) plus one.
| Item Type: | Article |
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| Uncontrolled Keywords: | periodic solution, limit cycle, Abel equation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:45 |
| Last Modified: | 28 Mar 2024 13:01 |
| URI: | https://real.mtak.hu/id/eprint/185192 |
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