On the independent perturbation parameters and the number of limit cycles of a type of Liénard system

DOI10.1016/j.jmaa.2018.04.020zbMath1433.34050OpenAlexW2797542150MaRDI QIDQ1748332

Junmin Yang, Pei Yu, Xian Bo Sun

Publication date: 9 May 2018

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.2018.04.020

zbMATH Keywords

Liénard systemlimit cycleindependent parameter

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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Cites Work

• Limit cycle bifurcations in a kind of perturbed Liénard system
• Small-amplitude limit cycles of polynomial Liénard systems
• Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop
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• Limit cycles of differential equations
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• Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system
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• Limit cycles of the generalized polynomial Liénard differential equations
• Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
• Mathematical problems
• Centennial History of Hilbert's 16th Problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
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• HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
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