6 papers · 1 filter
extension and invariant manifolds for the compactification of nonautonomous systems with autonomous limits
Shuang Chen, Jinqiao Duan
We study the compactification of nonautonomous systems with autonomous limits and related dynamics. Although the extension of the compactification was well established, a g…
Dynamics of the Tyson-Hong-Thron-Novak circadian oscillator model
Shuang Chen, Jinqiao Duan, Ji Li
We study the dynamics of a circadian oscillator model which was proposed by Tyson, Hong, Thron and Novak. This model indicates a molecular mechanism for the circadian rhythm in Dro…
Splitting properties of linear differential systems with small delays
Shuang Chen
We investigate singular perturbation problems caused by small delays in the view of pseudo-exponential dichotomy. For a general linear non-autonomous retarded differential equation…
Global dynamics of a competition-diffusion system and application to a modified Leslie-Gower model
Leqi Chen, Shuang Chen
We investigate the global dynamics of a special case of the classical Lotka-Volterra competition-diffusion system in spatially heterogeneous environment. This model indicates that…
Smooth inertial manifolds for neutral differential equations with small delays
Shuang Chen, Jun Shen
In this paper, we study the dynamical behaviors of neutral differential equations with small delays. We first establish the existence and smoothness of the global inertial manifold…
Effective reduction of a three-dimensional circadian oscillator model
Shuang Chen, Jinqiao Duan, Ji Li
We investigate the dynamics of a three-dimensional system modeling a molecular mechanism for the circadian rhythm in Drosophila. We first prove the existence of a compact attractor…