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

DOI10.1216/RMJ-2019-49-2-579zbMath1421.34001OpenAlexW2951168563WikidataQ127627456 ScholiaQ127627456MaRDI QIDQ2002510

Claudia Valls, Jaume Llibre

Publication date: 12 July 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1561318394

zbMATH Keywords

reversibleequivariantanalytic first integralquadratic planar polynomial equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

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Cites Work

• On the integrability of two-dimensional flows
• Local first integrals of differential systems and diffeomorphisms
• On non-integrability of general systems of differential equations
• Darboux integrability and reversible quadratic vector fields
• Phase portraits of planar semi-homogeneous vector fields-I
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