Invariant curves and integrability of planar \(\mathcal C^r\) differential systems

DOI10.1216/RMJ-2018-48-5-1537zbMath1401.34003OpenAlexW2897086140MaRDI QIDQ1799912

Jaume Llibre, Antoni Ferragut

Publication date: 19 October 2018

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1539936035

zbMATH Keywords

integrabilityinvariant curveplanar differential system\({\mathcal C}^r\) functionDarboux theory

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)

Cites Work

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• Inverse problems in ordinary differential equations and applications
• Inverse problems in Darboux' theory of integrability
• A survey on the inverse integrating factor
• Limit cycles of differential equations
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Generalized cofactors and nonlinear superposition principles
• Integrability of planar polynomial differential systems through linear differential equations
• Qualitative theory of planar differential systems
• Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems
• Darboux integrability and invariant algebraic curves for planar polynomial systems
• Inverse problems for multiple invariant curves

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