Limit cycles of a class of planar polynomial differential systems

DOI10.1002/MMA.7645zbMATH Open1502.34042OpenAlexW3183381249MaRDI QIDQ5015820

Amel Boulfoul, Abdelhak Berkane, Nassima Debz

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7645

zbMATH Keywords

limit cyclesaveraging theoryKukles systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (12)

Title not available (Why is that?) ⋮ Limit cycles for planar piecewise linear differential systems via first integrals. ⋮ On the maximum number of limit cycles for a piecewise smooth differential system ⋮ A class of planar differential systems with explicit expression for two limit cycles ⋮ Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree ⋮ Limit cycles near an eye-figure loop in some polynomial Liénard systems ⋮ On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations ⋮ Maximum number of limit cycles of a second order differential system ⋮ 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 ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems ⋮ Title not available (Why is that?)

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