Dynamical analysis of a cubic Liénard system with global parameters (III)

DOI10.1088/1361-6544/ab5e29zbMath1439.34041OpenAlexW4232069579MaRDI QIDQ5216275

Hebai Chen, Xingwu Chen

Publication date: 17 February 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab5e29

zbMATH Keywords

Hopf bifurcationbifurcation diagramBautin bifurcationglobal phase portraitdouble limit cycle bifurcation

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Global dynamics of a piecewise smooth system with a fold-cusp and general parameters ⋮ A nonsmooth van der Pol-Duffing oscillator. I: The sum of indices of equilibria is \(-1\) ⋮ Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis ⋮ Global bifurcation studies of a cubic Liénard system

Cites Work

• Rotated vector fields
• On a four parameter family of planar vector fields
• Global phase portraits of a degenerate Bogdanov-Takens system with symmetry. II
• Perturbation from an elliptic Hamiltonian of degree four. III: global centre.
• Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
• Qualitative theory of planar differential systems
• Dynamical analysis of a cubic Liénard system with global parameters (II)
• Dynamical analysis of a cubic Liénard system with global parameters
• Cubic Lienard equations with linear damping
• Global study of a family of cubic Liénard equations
• Elements of applied bifurcation theory
• Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dynamical analysis of a cubic Liénard system with global parameters (III)