10 citations · 12 across the 7 of their papers we have counts for
7 papers
The discontinuous limit case of an archetypal oscillator with constant excitation and van der Pol damping: A single equilibrium
Xiuli Cen, Hebai Chen, Yilei Tang +1
This paper investigates the global dynamics of the discontinuous limit case of an archetypal oscillator with constant excitation that exhibits a single equilibrium. For parameter r…
A quintic Z2-equivariant Liénard system arising from the complex Ginzburg-Landau equation: (II)
Hebai Chen, Xingwu Chen, Man Jia +1
We continue to study a quintic Z2-equivariant Liénard system with , arising from the complex Ginzburg-Landau equa…
The number of limit cycles of Josephson equation
Xiangqin Yu, Hebai Chen, Changjian Liu
In this paper, the existence and number of non-contractible limit cycles of the Josephson equation are studied, where $ϕ\…
A sufficient and necessary condition of generalized polynomial Liénard systems with global centers
Hebai Chen, Zhijie Li, Rui Zhang
The aim of this paper is to give a sufficient and necessary condition of the generalized polynomial Liénard system with a global center (including linear typer and nilpotent type).…
New criterions on nonexistence of periodic orbits of planar dynamical systems and their applications
Hebai Chen, Hao Yang, Rui Zhang +1
Characterizing existence or not of periodic orbit is a classical problem and it has both theoretical importance and many real applications. Here, several new criterions on nonexist…
Crossing limit cycles of nonsmooth Liénard systems and applications
Tao Li, Hebai Chen, Xingwu Chen
Continuing the investigation for the number of crossing limit cycles of nonsmooth Liénard systems in [Nonlinearity 21(2008), 2121-2142] for the case of a unique equilibrium, in thi…
Limit cycles of a Liénard system with symmetry allowing for discontinuity
Hebai Chen Maoan Han, Yonghui Xia
This paper presents new results on the limit cycles of a Liénard system with symmetry allowing for discontinuity. Our results generalize and improve the results in [33,34]. The res…