17 citations · 48 across the 11 of their papers we have counts for
11 papers
Second-order differential equation with indefinite and repulsive singularities
Xiaoxiao Cui, Yonghui Xia
This paper concerns a second-order differential equation with indefinite and repulsive singularities. It is the first time to study differential equation containing both indefinite…
Bifurcation of the traveling wave solutions in a perturbed -dimensional dispersive long wave equation via a geometric approach
Hang Zheng, Yonghui Xia
Choosing (horizontal ordinate of the saddle point associated to the homoclinic orbit) as bifurcation parameter, bifurcations of the travelling wave solutions is studied in a pe…
Traveling waves of a generalized Rotation-Camassa-Holm equation with the Coriolis effect
N'Gbo N'Gbo, Yonghui Xia, Tonghua Zhang
In this paper, we analyze the dynamics of a generalized Rotation-Camassa-Holm equation, which is the -equation augmented with the Coriolis effect, induced by the earth rotation.…
Sampling expansions associated with quaternion difference equations
Dong Cheng, Kit Ian Kou, Yonghui Xia +1
Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By em…
Limit Cycles in a Model of Olfactory Sensory Neurons
Y. Xia, M. Grašič, W. Huang +1
We propose an approach to study small limit cycle bifurcations on a center manifold in analytic or smooth systems depending on parameters. We then apply it to the investigation of…
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…
Boundness and Linearisation of a class of differential equations with piecewise constant argument
Changwu Zou, Yong-Hui Xia, Manuel Pinto +2
The differential equations with piecewise constant argument (DEPCAs, for short) is a class of hybrid dynamical systems (combining continuous and discrete). In this paper, under the…
An Algorithm for Solving Linear Nonhomogeneous Quaternion-valued Differential Equations
Yong-Hui Xia, Hai Huang, Kit Ian Kou
In this paper we presents an algorithm for finding a solution of the linear nonhomogeneous quaternionic-valued differential equations. Moveover, several examples shows the feasibil…
Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
Kit Ian Kou, Yong-Hui Xia
Quaternion-valued differential equations (QDEs) is a new kind of differential equations which have many applications in physics and life sciences. The largest difference between QD…
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Jifeng Chu, Fang-Fang Liao, Stefan Siegmund +2
For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of…
Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
Jifeng Chu, Hailong Zhu, Stefan Siegmund +1
For nonautonomous linear difference equations, we introduce the notion of the so-called nonuniform dichotomy spectrum and prove a spectral theorem. Moreover, we introduce the notio…