Limit cycles of generalized Liénard equations

DOI10.1016/0893-9659(95)00078-5zbMath0841.34031OpenAlexW1991043922MaRDI QIDQ1908973

Yanyan Li

Publication date: 7 March 1996

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00078-5

zbMATH Keywords

limit cyclesbifurcationsgeneralized Liénard equations

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)

Related Items (11)

Studies of the Petrov module for a family of generalized Liénard integrable systems ⋮ Limit cycles of generalized Liénard polynomial differential systems via averaging theory ⋮ Versal unfolding of a nilpotent Liénard equilibrium within the odd Liénard family ⋮ Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems ⋮ Limit cycles of the generalized polynomial Liénard differential equations ⋮ An estimation for the number of limit cycles in a Liénard-like perturbation of a quadratic nonlinear center ⋮ Liénard systems and the second part of Hilbert's sixteenth problem ⋮ Generalized quadratic Liénard equations ⋮ Generalized cubic Liénard equations ⋮ ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF A CLASS OF GENERALIZED LIÉNARD DIFFERENTIAL SYSTEMS ⋮ Perturbation theory of a symmetric center within Liénard equations

Cites Work

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• Bifurcation at infinity in polynomial vector fields
• Small-amplitude limit cycles of Liénard systems
• The limit cycle of the van der Pol equation is not algebraic
• More results on the bifurcation of limit cycles for systems of Liénard type
• Small Amplitude Limit Cycles Of The Generalized Mixed Rayleigh-Liénard Oscillator
• Cubic Lienard equations with linear damping
• The number of small-amplitude limit cycles of Liénard equations
• Small-amplitude limit cycles of certain Liénard systems
• Limit Cycles of Liénard Equations With Non Linear Damping
• Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
• On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation

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