Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems

DOI10.1016/j.camwa.2006.01.005zbMath1157.34022OpenAlexW2000729231MaRDI QIDQ2475915

Jaume Llibre, Jaume Giné

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.01.005

zbMATH Keywords

integrabilitypolynomial differential systemalgebraic limit cycledegenerate center

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (8)

\(1: - 3\) resonant centers on \(\mathbb{C}^2\) with homogeneous cubic nonlinearities ⋮ Integrability and pseudo-linearizable conditions in a quasi-analytic system ⋮ Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point ⋮ Unnamed Item ⋮ The cubic polynomial differential systems with two circles as algebraic limit cycles ⋮ Bifurcation of limit cycles and pseudo-isochronicity at degenerate singular point in a septic system ⋮ On the integrable rational Abel differential equations ⋮ Planar polynomial vector fields having first integrals and algebraic limit cycles

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