EXTENSION OF CHICONE'S METHOD FOR PERTURBATION SYSTEMS OF THREE PARAMETERS WITH APPLICATION TO THE LIENARD SYSTEM

DOI10.1142/S0218127412500654zbMath1270.34039OpenAlexW2039679589MaRDI QIDQ2843556

Z. Afsharnezhad, M. Karimi Amaleh

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412500654

zbMATH Keywords

Liénard systemperturbationperiodic solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10) Ordinary differential equations of infinite order (34A35) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

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• Existence and uniqueness of periodic solutions for a class of generalized Liénard systems with forcing term
• Stability and periodic solutions of ordinary and functional differential equations
• The limit cycles of Liénard equations in the strongly nonlinear regime
• Mathematical problems for the next century
• On the homoclinic orbits of the generalized Liénard equations
• The number of small-amplitude limit cycles of Liénard equations
• Order of cyclicity of the singular point of lineard's polynomial vector fields
• PERSISTENCE OF PERIODIC TRAJECTORIES OF PLANAR SYSTEMS UNDER TWO PARAMETRIC PERTURBATIONS

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