A proof of Wang-Kooij's conjectures for a cubic Liénard system with a cusp

DOI10.1016/J.JMAA.2016.08.008zbMath1391.37042OpenAlexW2524240013WikidataQ122972184 ScholiaQ122972184MaRDI QIDQ323880

Xingwu Chen, Hebai Chen

Publication date: 10 October 2016

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.2016.08.008

zbMATH Keywords

Liénard systemlimit cyclecuspidal looprotational vector field

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

Global analysis of a Liénard system with quadratic damping ⋮ Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative theory of planar differential systems
• Dynamical analysis of a cubic Liénard system with global parameters
• Cubic Lienard equations with linear damping
• Limit Cycles in a Cubic System with a Cusp
• A Global Analysis of the Bogdanov–Takens System
• Global study of a family of cubic Liénard equations
• Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop

This page was built for publication: A proof of Wang-Kooij's conjectures for a cubic Liénard system with a cusp