137 Publications (Page 5 of 6)
2010
Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models
Shen, Wenxian
Transactions of the American Mathematical Society, vol. 362, (no. 10), pp. 5168, 20101001. | Journal Article
2009
Pullback attractors for nonautonomous and random parabolic equations on non-smooth domains
Shen, Wenxian and Huang, Jianhua
Discrete and Continuous Dynamical Systems, vol. 24, (no. 3), pp. 882, 2009-04-00. | Journal Article
 
Random dispersal vs. non-local dispersal
Shen, Wenxian⋅Lou, Yuan and Kao, Chiu-Yen
Discrete and Continuous Dynamical Systems, vol. 26, (no. 2), pp. 596, 2009-10-00. | Journal Article
 
Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media
Huang, Jianhua and Shen, Wenxian
SIAM Journal on Applied Dynamical Systems, vol. 8, (no. 3), pp. 821, 2009-01-00. | Journal Article
 
Spreading and generalized propagating speeds of discrete KPP models in time varying environments
Shen, Wenxian
Frontiers of Mathematics in China, vol. 4, (no. 3), pp. 523-562, 2009. | Journal Article
2008
Carrying simplices in nonautonomous and random competitive Kolmogorov systems
Shen, Wenxian and Wang, Yi
Journal of Differential Equations, vol. 245, (no. 1), pp. 29, 2008. | Journal Article
 
Time averaging for nonautonomous/random linear parabolic equations
Shen, Wenxian and Mierczyński, Janusz
Discrete and Continuous Dynamical Systems - Series B, vol. 9, (no. 3/4, May), pp. 699, 2008-02-00. | Journal Article
2007
Dynamical Order in Systems of Coupled Noisy Oscillators
Chow, Shui-Nee⋅Shen, Wenxian and Zhou, Hao-Min
Journal of Dynamics and Differential Equations, vol. 19, (no. 4), pp. 1036, 20071200. | Journal Article
 
Global attractor and rotation number of a class of nonlinear noisy oscillators
Shen, Wenxian
Discrete and Continuous Dynamical Systems, vol. 18, (no. 2/3, June), pp. 611, 2007-03-00. | Journal Article
2006
Traveling waves in time dependent bistable equations
Shen, Wenxian
2006-01-01. | Journal Article
2005
Convergence in almost periodic cooperative systems with a first integral
Shen, Wenxian and Zhao, Xiao-Qiang
Proceedings of the American Mathematical Society, vol. 133, (no. 1), pp. 212, 20050101. | Journal Article
2004
Lyapunov exponents and asymptotic dynamics in random Kolmogorov models
Mierczyński, Janusz and Shen, Wenxian
Journal of Evolution Equations, vol. 4, (no. 3), pp. 390, 20040900. | Journal Article
 
The Faber--Krahn inequality for random/nonautonomous parabolic equations
Shen, Wenxian and Mierczyński, Janusz
Communications on Pure and Applied Analysis, vol. 4, (no. 1), pp. 114, 2004-12-00. | Journal Article
 
Traveling Waves in Diffusive Random Media
Shen, Wenxian
Journal of Dynamics and Differential Equations, vol. 16, (no. 4), pp. 1060, 20041000. | Journal Article
 
Two species competition with an inhibitor involved
Shen, Wenxian⋅Shen, Wenxian⋅Hetzer, Georg and Hetzer, Georg
Discrete and Continuous Dynamical Systems, vol. 12, (no. 1), pp. 57, 2004-12-00. | Journal Article
 
Uniform persistence for nonautonomous and random parabolic Kolmogorov systems
Mierczyński, Janusz⋅Shen, Wenxian and Zhao, Xiao-Qiang
Journal of Differential Equations, vol. 204, (no. 2), pp. 510, 2004. | Journal Article
2003
Dynamics in coupled oscillators with recurrent/random forcing, a PDE approach
Shen, Wenxian
Journal of Mathematical Analysis and Applications, vol. 288, (no. 2), pp. 605, 2003. | Journal Article
 
Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations
Mierczyński, Janusz and Shen, Wenxian
Journal of Differential Equations, vol. 191, (no. 1), pp. 205, 2003-06-01. | Journal Article
 
Traveling waves in time periodic lattice differential equations
Shen, Wenxian
Nonlinear Analysis, vol. 54, (no. 2), pp. 339, 2003. | Journal Article
2002
Asymptotic Behavior of Positive Solutions of Random and Stochastic Parabolic Equations of Fisher and Kolmogorov Types
Hetzer, Georg⋅Hetzer, Georg⋅Shen, Wenxian⋅Shen, Wenxian⋅Zhu, Shu and Zhu, Shu
Journal of Dynamics and Differential Equations, vol. 14, (no. 1), pp. 188, 20020100. | Journal Article
 
Uniform Persistence, Coexistence, and Extinction in Almost Periodic/Nonautonomous Competition Diffusion Systems
Hetzer, Georg⋅Hetzer, Georg⋅Shen, Wenxian and Shen, Wenxian
SIAM Journal on Mathematical Analysis, vol. 34, (no. 1), pp. 227, 2002-01-00. | Journal Article
2001
Convergence in Almost Periodic Competition Diffusion Systems
Hetzer, Georg⋅Hetzer, Georg⋅Shen, Wenxian and Shen, Wenxian
Journal of Mathematical Analysis and Applications, vol. 262, (no. 1), pp. 338, 2001. | Journal Article
 
Dynamical Systems and Traveling Waves in Almost Periodic Structures
Shen, Wenxian
Journal of Differential Equations, vol. 169, (no. 2), pp. 548, 2001-01-20. | Journal Article
1999
TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
HSU, CHENG-HSIUNG⋅LIN, SONG-SUN and SHEN, WENXIAN
International Journal of Bifurcation and Chaos, vol. 9, (no. 7), pp. 1319, 19990700. | Journal Article
 
Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities: II. Existence
Shen, Wenxian
Journal of Differential Equations, vol. 159, (no. 1), pp. 101, 1999-11-20. | Journal Article