On limit cycles near two centres and a double homoclinic loop in Liénard differential system

DOI10.1016/j.jde.2021.07.032zbMath1482.34098OpenAlexW3195243666MaRDI QIDQ1981729

Xiang Zhang, Lijun Wei, Qingjing Zhang

Publication date: 6 September 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.032

zbMATH Keywords

Liénard systemlimit cyclenear-Hamiltonian systemdouble homoclinic loopcentrehyperbolic saddle

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 of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (1)

Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system

Uses Software

• Maple

Cites Work

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