The center conditions and local bifurcation of critical periods for a Liénard system

DOI10.1016/j.amc.2011.01.035zbMath1218.34034OpenAlexW1974879860MaRDI QIDQ632912

Qiujin Xu, Wen-tao Huang

Publication date: 28 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.035

zbMATH Keywords

isochronous centerscenter problemLienard systemcritical periods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items (6)

Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system ⋮ Center conditions for polynomial Liénard systems ⋮ Isolated periodic wave trains and local critical wave lengths for a nonlinear reaction-diffusion equation ⋮ Local bifurcations of critical periods for quartic Liénard equations with quintic damping ⋮ Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the center of the Liénard equation
• On the number of critical periods for planar polynomial systems
• Local bifurcations of critical periods for cubic Liénard equations with cubic damping
• Linearizability conditions of time-reversible cubic systems
• An algebraic approach to the classification of centers in polynomial Liénard systems
• On period functions of Liénard systems
• A new method to determine isochronous center conditions for polynomial differential systems.
• On the critical periods of Liénard systems with cubic restoring forces
• Isochronicity for several classes of Hamiltonian systems
• On the classification of Liénard systems with amplitude-independent periods
• Classification of global phase portraits of a system of Liénard type
• Local bifurcations of critical periods in a generalized 2D LV system
• Local Bifurcations of Critical Periods in the Reduced Kukles System

This page was built for publication: The center conditions and local bifurcation of critical periods for a Liénard system