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

DOI10.1088/0951-7715/29/6/1798zbMath1345.34039OpenAlexW4232892690MaRDI QIDQ2813865

Xingwu Chen, Hebai Chen

Publication date: 27 June 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/29/6/1798

zbMATH Keywords

limit cyclehomoclinic loopLienard system

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)

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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 analysis of a Liénard system with quadratic damping ⋮ Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line ⋮ Global bifurcation studies of a cubic Liénard system ⋮ Dynamical analysis of a cubic Liénard system with global parameters (III) ⋮ Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four

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