The estimate of the amplitude of limit cycles of symmetric Liénard systems

DOI10.1016/j.jde.2016.10.034zbMath1390.34077OpenAlexW2555276209MaRDI QIDQ729937

Yuli Cao, Changjian Liu

Publication date: 22 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.10.034

zbMATH Keywords

Liénard systemlimit cyclesvan der Pol equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (10)

Computing the solutions of the van der Pol equation to arbitrary precision ⋮ A van der Pol-Duffing oscillator with indefinite degree ⋮ Maximum number of limit cycles for generalized Kukles differential system ⋮ Global Dynamics of a Planar Filippov System with Symmetry ⋮ Phase portraits of continuous piecewise linear Liénard differential systems with three zones ⋮ Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line ⋮ Limit cycles of a Liénard system with symmetry allowing for discontinuity ⋮ Unnamed Item ⋮ Global dynamics of hybrid van der Pol-Rayleigh oscillators ⋮ On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique

Cites Work

• Existence of limit cycles for generalized Liénard equations
• An upper bound for the amplitude of limit cycles in Liénard systems with symmetry
• On the Existence of Exactly $N$ Limit Cycles in Lienard Systems
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