ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIÉNARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS

DOI10.11948/20190221zbMath1457.34052OpenAlexW3020542870MaRDI QIDQ5859471

Junmin Yang, Lin-Lin Li

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190221

zbMATH Keywords

Liénard systembifurcationlimit cycleMelnikov function

Mathematics Subject Classification ID

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 (5)

On the uniqueness of limit cycles for generalized Liénard systems ⋮ Some properties of Melnikov functions near a cuspidal loop ⋮ Bifurcation of limit cycles near a heteroclinic loop with nilpotent cusps ⋮ Unnamed Item ⋮ On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order \(\hat{m} \)

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