Liouvillian integrability of some quadratic Liénard polynomial differential systems

DOI10.1007/s12215-018-0374-6zbMath1435.34008OpenAlexW2900529225MaRDI QIDQ2009791

Claudia Valls

Publication date: 29 November 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0374-6

zbMATH Keywords

quadratic systemLiouvillian integrabilityLiénard polynomial differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations, A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves

Cites Work

• Integrability of dynamical systems: algebra and analysis
• There is a theory of heart
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• Invariant algebraic curves for Liénard dynamical systems revisited
• Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems
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• Liouvillian First Integrals of Differential Equations
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems
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