Žulj Maja and Ferčec Brigita and Mencinger Matej: The solution of some persistent p : −q resonant center problems. (2018)
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Abstract
The notion of p : −q resonant center was introduced recently and studied by several authors. In this paper we generalize the notion of a persistent center to a persistent p : −q resonant center and find conditions for existence of a persistent p : −q resonant center for several p : −q resonant systems with quadratic nonlinearities. To prove the sufficiency of the obtained conditions we use either the Darboux theory of integrability or look for a formal first integral of the required form or we use the method based on the blow-up transformation.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 99 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-21 |
| DOI: | 10.14232/ejqtde.2018.1.99 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 18-21. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 30. 16:05 |
| Last Modified: | 2020. Jul. 29. 12:29 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58122 |
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