Hayashi Makoto and Villari Gabriele and Zanolin Fabio: On the uniqueness of limit cycle for certain Liénard systems without symmetry. (2018)
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Abstract
The problem of the uniqueness of limit cycles for Liénard systems is investigated in connection with the properties of the function F(x). When α and β (α < 0 < β) are the unique nontrivial solutions of the equation F(x) = 0, necessary and sufficient conditions in order that all the possible limit cycles of the system intersect the lines x = α and x = β are given. Therefore, in view of classical results, the limit cycle is unique. Some examples are presented to show the applicability of our results in situations with lack of symmetry.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 55 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-10 |
| DOI: | 10.14232/ejqtde.2018.1.55 |
| Uncontrolled Keywords: | Matematikai modell, Liénard rendszer, Invariáns, Matematika |
| Additional Information: | Bibliogr.: p. 9-10. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. Jun. 03. 05:36 |
| Last Modified: | 2020. Jul. 29. 12:29 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58130 |
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