On the Distribution of Limit Cycles in a Liénard System with a Nilpotent Center and a Nilpotent Saddle

DOI10.1142/S0218127416500255zbMath1334.34073MaRDI QIDQ2800714

A. Bakhshalizadeh, Rasoul Asheghi

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Liénard systemlimit cyclesMelnikov functionAbelian integralsnilpotent center and saddle

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\)

Cites Work

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