Abstract
We study the existence of first integrals for the class of reversible and equivariant quadratic polynomial differential systems in the plane. We put special emphasis in the study of the analytic first integrals.
Funding Statement
The first author was partially supported by the Ministerio de Economía, Industria y Competitividad, Agencia Estatal de Investigación, grant No. MTM2016-77278-P (FEDER), the Agència de Gestió d’Ajuts Universitaris i de Recerca, grant No. 2017SGR1617 and the H2020 European Research Council, grant No. MSCA-RISE-2017-777911. The second author was partially supported by FCT/Portugal through UID/MAT/04459/2013.
Citation
Jaume Llibre. Claudia Valls. "Integrability of reversible and equivariant quadratic polynomial differential systems in the plane." Rocky Mountain J. Math. 49 (2) 579 - 591, 2019. https://doi.org/10.1216/RMJ-2019-49-2-579
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