On the limit cycles of planar polynomial system with non-rational first integral via averaging method at any order

DOI10.1016/j.amc.2015.01.089zbMath1338.37035OpenAlexW2058101690MaRDI QIDQ299735

Yulin Zhao, Shimin Li, Zhao-hong Sun

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.089

zbMATH Keywords

limit cycleaveraging methodnon-rational first integral

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) 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 and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (2)

Bifurcation of limit cycles by perturbing piecewise smooth integrable non-Hamiltonian systems ⋮ Limit cycles of polynomial Liénard systems via the averaging method

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