29 citations · 47 across the 7 of their papers we have counts for
7 papers
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\…
Centers and invariant straight lines of planar real polynomial vector fields and its configurations
Hongjin He, Changjian Liu, Dongmei Xiao
In the paper, we first give the least upper bound formula on the number of centers of planar real polynomial Hamiltonian vector fields. This formula reveals that the greater the nu…
Orbital stability of smooth solitary waves for the -family of Camassa-Holm equations
Teng Long, Changjian Liu
In this paper, we study the stability of smooth solitary waves for the -family of Camassa-Holm equations. We verify the stability criterion analytically for the general case $b>…
A proof of the uniqueness of the limit cycle of a quasi-homogeneous system
Ziwei Zhuang, Changjian Liu
A. Gasull shared a list of 33 open problems in low dimensional dynamical systems in his work in 2021. The second part of Problem 3 is about whether the limit cycle of a quasi-homog…
On the Structure of Periodic Eigenvalues of the Vectorial -Laplacian
Changjian Liu, Meirong Zhang
In this paper we will solve an open problem raised by Manásevich and Mawhin twenty years ago on the structure of the periodic eigenvalues of the vectorial -Laplacian. This is an…
On the maximal saddle order of p:-q resonant saddle
Guangfeng Dong, Changjian Liu, Jiazhong Yang
In this paper, we obtain some estimations of the saddle order which is the sole topological invariant of the non-integrable resonant saddles of planar polynomial vector fields of a…
Minimum Rate Sampling and Spectrum Blind Reconstruction in Random Equivalent Sampling
Yijiu Zhao, Li Wang, Houjun Wang +1
The random equivalent sampling (RES) is a well-known sampling technique that can be used to capture a high-speed repetitive waveform with low sampling rate. In this paper, the feas…