Local bifurcation of critical periods for a class of Liénard equations

DOI10.1007/s10255-014-0407-7zbMath1359.34041OpenAlexW2396692279MaRDI QIDQ477478

Chun-Xiang A, Yi Shao

Publication date: 9 December 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-014-0407-7

zbMATH Keywords

local bifurcationperiod functioncritical periods

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Multiple bifurcations of critical period for a quartic Kolmogorov model

Cites Work

• The period function of classical Liénard equations
• Bifurcation of critical periods from the rigid quadratic isochronous vector field
• The monotonicity of the period function for planar Hamiltonian vector fields
• The period function of a Hamiltonian quadratic system
• Quadratic systems with center and their perturbations
• The monotonicity of period function for the codimension four quadratic system \(Q_4\).
• The period function of reversible quadratic centers
• On the monotonicity of the period function of a quadratic system
• Bifurcation of Critical Periods for Plane Vector Fields
• Finiteness for critical periods of planar analytic vector fields
• The bifurcation set of the period function of the dehomogenized Loud's centers is bounded

This page was built for publication: Local bifurcation of critical periods for a class of Liénard equations