On a conjecture on the integrability of Liénard systems

Author:

Llibre Jaume,Murza Adrian C.,Valls Claudia

Funder

Ministerio de Econom?a, Industria y Competitividad, Gobierno de Espa?a

Ag?ncia de Gesti? d?Ajuts Universitaris i de Recerca

European Project

Romanian National Authority for Scientific Research and Innovation

FCT/Portugal

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Cai, S.L., Zhang, P.G.: A quadratic system with weak saddle II. Ann. Differ. Equ. 4(2), 131–142 (1988)

2. Fronville, A., Sadovski, A., Zoladek, H.: Solution of the $$1:-2$$ resonant center problem in the quadratic case. Dedicated to the memory of Wieslaw Szlenk. Fund. Math. 157, 191–207 (1998)

3. Furta, S.D.: On non-integrability of general systems of differential equations. Z. Angew. Math. Phys. 47, 112–131 (1996)

4. Gasull, A., Giné, J.: Integrability of Liénard systems with a weak saddle. Z. Angew. Math. Phys. 68(13), 7 (2017)

5. Giné, J., Llibre, J.: On the integrability of Liénard systems with a strong saddle. Appl. Math. Lett. 70, 39–45 (2017)

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