Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities

DOI10.1016/j.jde.2004.10.019zbMath1069.34047OpenAlexW4234226021MaRDI QIDQ1763679

Jaume Giné, Jaume Llibre

Publication date: 22 February 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.10.019

zbMATH Keywords

centerfocuslimit cyclepolynomial differential systemDarbouxian integrable system

Mathematics Subject Classification ID

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

Related Items (2)

Darboux integrability and algebraic limit cycles for a class of polynomial differential systems ⋮ On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique

Cites Work

• On the integrability of two-dimensional flows
• Algebraic invariant curves and the integrability of polynomial systems
• Limit Cycles for a Class of Abel Equations
• Limit cycles of a class of polynomial systems
• Liouvillian First Integrals of Differential Equations
• Invariant algebraic curves and conditions for a centre
• On the nonexistence, existence and uniqueness of limit cycles
• An Abel ordinary differential equation class generalizing known integrable classes
• On the limit cycles of polynomial differential systems with homogeneous nonlinearities
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