A uniqueness criterion of limit cycles for planar polynomial systems with homogeneous nonlinearities

DOI10.1016/j.jmaa.2017.08.008zbMath1378.34049OpenAlexW2747686892MaRDI QIDQ2405383

Jianfeng Huang, Haihua Liang

Publication date: 25 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.08.008

zbMATH Keywords

limit cycleAbel equationhomogeneous nonlinearitiesplanar polynomial differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Periodic orbits of vector fields and flows (37C27)

Related Items (8)

Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities ⋮ On the uniqueness of limit cycles for generalized Liénard systems ⋮ Upper bounds of limit cycles in Abel differential equations with invariant curves ⋮ Characterization of the existence of non-trivial limit cycles for generalized Abel equations ⋮ Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields ⋮ A new Chebyshev criterion and its application to planar differential systems ⋮ On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems

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