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20122021
most citedAlmost Automorphically and Almost Periodically Forced Circle Flows of Almost Periodic Parabolic Equations on S^1

7 citations · 12 across the 13 of their papers we have counts for

collaborators

13 papers

math.DS2021

Sharpened dynamics alternative and its -robustness for strongly monotone discrete dynamical systems

Yi Wang, Jinxiang Yao

For strongly monotone dynamical systems, the dynamics alternative for smooth discrete-time systems turns out to be a perfect analogy of the celebrated Hirsch's limit-set dichotomy…

math.DS2021★ 3 cited

Almost automorphy of minimal sets for -smooth strongly monotone skew-product semiflows on Banach spaces

Yi Wang, Jinxiang Yao

We focus on the presence of almost automorphy in strongly monotone skew-product semiflows on Banach spaces. Under the -smoothness assumption, it is shown that any linearly sta…

math.DS2020

Non-wandering points for autonomous/periodic parabolic equations on the circle

Wenxian Shen, Yi Wang, Dun Zhou

We study the properties of non-wandering points of the following scalar reaction-diffusion equation on the circle , \begin{equation*} u_{t}=u_{xx}+f(t,u,u_{x}),\,\,t>0,\,x\in…

math.DS2020

Almost automorphically forced flows on or in one-dimensional almost periodic semilinear heat equations

Wenxian Shen, Yi Wang, Dun Zhou

In this paper, we consider the asymptotic dynamics of the skew-product semiflow generated by the following time almost-periodically forced scalar reaction-diffusion equation \begin…

math.DS2018★ 1 cited

Non-Oscillation Principle for Eventually Competitive and Cooperative Systems

Lin Niu, Yi Wang

A nonlinear dynamical system is called eventually competitive (or cooperative) provided that it preserves a partial order in backward (or forward) time only after some reasonable i…

math.DS2018

Spatial-Homogeneity of Stable Solutions of Almost-Periodic Parabolic Equations with Concave Nonlinearity

Yi Wang, Jianwei Xiao, Dun Zhou

We study the spatial-homogeneity of stable solutions of almost-periodic parabolic equations. It is shown that if the nonlinearity satisfies a concave or convex condition, then any…