Strongly formal Weierstrass non-integrability for polynomial differential systems in C2

Giné, Jaume and Llibre, Jaume: Strongly formal Weierstrass non-integrability for polynomial differential systems in C2. Electronic journal of qualitative theory of differential equations 1. pp. 1-16. (2020)

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Abstract

Recently a criterion has been given for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . Here we extend this criterion for determining the strongly formal Weierstrass non-integrability which includes the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . The criterion is based on the solutions of the form y = f(x) with f(x) ∈ C[[x]] of the differential system whose integrability we are studying. The results are applied to a differential system that contains the famous force-free Duffing and the Duffing–Van der Pol oscillators.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2020
Number: 1
Page Range: pp. 1-16
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2020.1.1
Uncontrolled Keywords: Liouville integráció, Weierstrass integráció, Differenciaegyenlet
Additional Information: Bibliogr.: p. 14-16. ; összefoglalás angol nyelven
Date Deposited: 2020. Jan. 28. 09:38
Last Modified: 2020. Jan. 28. 09:44
URI: http://acta.bibl.u-szeged.hu/id/eprint/66367

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