Centers and limit cycles of polynomial differential systems of degree \(4\) via averaging theory

DOI10.1016/j.cam.2016.08.047zbMath1364.34035OpenAlexW2521317762MaRDI QIDQ344275

Jaume Llibre, Rebiha Benterki

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.08.047

zbMATH Keywords

centerlimit cycleaveraging methodphase portraitgeneralized Kukles system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

Related Items (10)

Existence of limit cycles for a class of quartic polynomial differential system depending on parameters ⋮ Limit cycles for two classes of control piecewise linear differential systems ⋮ An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited ⋮ Limit Cycles Bifurcating from a Family of Reversible Quadratic Centers via Averaging Theory ⋮ Limit cycles of polynomial Liénard systems via the averaging method ⋮ On a class of polynomial differential systems of degree 4: phase portraits and limit cycles ⋮ The centers and their cyclicity for a class of polynomial differential systems of degree 7 ⋮ Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities ⋮ On the number of limit cycles of a quartic polynomial system ⋮ Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles

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