The solution of some persistent p : −q resonant center problems

Žulj, Maja and Ferčec, Brigita and Mencinger, Matej: The solution of some persistent p : −q resonant center problems. Electronic journal of qualitative theory of differential equations 99. pp. 1-21. (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: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 99
Page Range: pp. 1-21
ISSN: 1417-3875
DOI: https://doi.org/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: 2019. May. 30. 16:05
URI: http://acta.bibl.u-szeged.hu/id/eprint/58122

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