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20122022
most citedTraveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations

54 citations · 317 across the 63 of their papers we have counts for

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Showing 2012 · math.DSShow all

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math.DS2012★ 25 cited

Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory

Janusz Mierczyński, Wenxian Shen

This is the first of a series of papers concerned with principal Lyapunov exponents and principal Floquet subspaces of positive random dynamical systems in ordered Banach spaces. I…

math.DS2012★ 22 cited

Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems

Janusz Mierczyński, Wenxian Shen

This is the second part in a series of papers concerned with principal Lyapunov exponents and principal Floquet subspaces of positive random dynamical systems in ordered Banach spa…

math.DS2012★ 1 cited

Asymptotic Dynamics of a Class of Coupled Oscillators Driven by White Noises

Wenxian Shen, Zhongwei Shen, Shengfan Zhou

This paper is devoted to the study of the asymptotic dynamics of a class of coupled second order oscillators driven by white noises. It is shown that any system of such coupled osc…

math.DS2012★ 54 cited

Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations

Wenxian Shen, Aijun Zhang

This paper deals with front propagation dynamics of monostable equations with nonlocal dispersal in spatially periodic habitats. In the authors' earlier works, it is shown that a g…

math.DS2012★ 4 cited

Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media

Liang Kong, Wenxian Shen

The current paper is concerned with positive stationary solutions and spatial spreading speeds of KPP type evolution equations with random or nonlocal or discrete dispersal in loca…