Liouvillian first integrals for quadratic systems with an integrable saddle

DOI10.1216/RMJ-2015-45-6-1765zbMath1383.34002OpenAlexW2297854935MaRDI QIDQ261646

Claudia Valls, Yudy Bolaños, Jaume Llibre

Publication date: 24 March 2016

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1457960333

zbMATH Keywords

integrating factorLiouvillian first integralintegrable saddleinverse integrating factorquadratic systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems

Cites Work

• Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\)
• Integrability of plane quadratic vector fields
• On the integrability of two-dimensional flows
• Quadratic systems with center and their perturbations
• Saddle quantities and applications
• Holonomie et intégrales premières
• Liouvillian First Integrals of Differential Equations
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