Integrability of reversible and equivariant quadratic polynomial differential systems in the plane

Jaume Llibre; Claudia Valls

doi:10.1216/RMJ-2019-49-2-579

Integrability of reversible and equivariant quadratic polynomial differential systems in the plane

Jaume Llibre, Claudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research

1 Citation (Scopus)

Abstract

Copyright © 2019 Rocky Mountain Mathematics Consortium. 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.

Original language	English
Pages (from-to)	579-591
Journal	Rocky Mountain Journal of Mathematics
Volume	49
DOIs	https://doi.org/10.1216/RMJ-2019-49-2-579
Publication status	Published - 1 Jan 2019

Keywords

Analytic first integral
Equivariant
Quadratic planar polynomial equations
Reversible

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abstract = "Copyright {\textcopyright} 2019 Rocky Mountain Mathematics Consortium. 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.",

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KW - Equivariant

KW - Quadratic planar polynomial equations

KW - Reversible

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