The uniqueness of limit cycles for Liénard system

DOI10.1016/j.jmaa.2004.09.037zbMath1078.34016OpenAlexW2037881920MaRDI QIDQ1772368

Chengwen Wang, Yurong Zhou, D. L. Blackmore

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.037

zbMATH Keywords

Liénard systemuniquenesslimit cyclequadratic systemHilbert's 16th problem

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)

Related Items (4)

Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations ⋮ Singular perturbations of the Holling I predator-prey system with a focus ⋮ The application of Liénard transformations to predator-prey systems ⋮ Existence and nonexistence of limit cycles for Liénard-type equations with bounded nonlinearities and φ-Laplacian

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