137 Publications (Page 5 of 6)
2010
Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP modelsShen, WenxianTransactions of the American Mathematical Society, vol. 362, (no. 10), pp. 5168, 20101001.
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2009
Pullback attractors for nonautonomous and random parabolic equations on non-smooth domainsShen, Wenxian and Huang, JianhuaDiscrete and Continuous Dynamical Systems, vol. 24, (no. 3), pp. 882, 2009-04-00.
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Random dispersal vs. non-local dispersalShen, Wenxian⋅Lou, Yuan and Kao, Chiu-YenDiscrete and Continuous Dynamical Systems, vol. 26, (no. 2), pp. 596, 2009-10-00.
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Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic MediaHuang, Jianhua and Shen, WenxianSIAM Journal on Applied Dynamical Systems, vol. 8, (no. 3), pp. 821, 2009-01-00.
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Spreading and generalized propagating speeds of discrete KPP models in time varying environmentsShen, WenxianFrontiers of Mathematics in China, vol. 4, (no. 3), pp. 523-562, 2009.
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2008
Carrying simplices in nonautonomous and random competitive Kolmogorov systemsShen, Wenxian and Wang, YiJournal of Differential Equations, vol. 245, (no. 1), pp. 29, 2008.
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Time averaging for nonautonomous/random linear parabolic equationsShen, Wenxian and Mierczyński, JanuszDiscrete and Continuous Dynamical Systems - Series B, vol. 9, (no. 3/4, May), pp. 699, 2008-02-00.
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2007
Dynamical Order in Systems of Coupled Noisy OscillatorsChow, Shui-Nee⋅Shen, Wenxian and Zhou, Hao-MinJournal of Dynamics and Differential Equations, vol. 19, (no. 4), pp. 1036, 20071200.
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Global attractor and rotation number of a class of nonlinear noisy oscillatorsShen, WenxianDiscrete and Continuous Dynamical Systems, vol. 18, (no. 2/3, June), pp. 611, 2007-03-00.
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2006
Traveling waves in time dependent bistable equationsShen, Wenxian2006-01-01.
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2005
Convergence in almost periodic cooperative systems with a first integralShen, Wenxian and Zhao, Xiao-QiangProceedings of the American Mathematical Society, vol. 133, (no. 1), pp. 212, 20050101.
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2004
Lyapunov exponents and asymptotic dynamics in random Kolmogorov modelsMierczyński, Janusz and Shen, WenxianJournal of Evolution Equations, vol. 4, (no. 3), pp. 390, 20040900.
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The Faber--Krahn inequality for random/nonautonomous parabolic equationsShen, Wenxian and Mierczyński, JanuszCommunications on Pure and Applied Analysis, vol. 4, (no. 1), pp. 114, 2004-12-00.
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Traveling Waves in Diffusive Random MediaShen, WenxianJournal of Dynamics and Differential Equations, vol. 16, (no. 4), pp. 1060, 20041000.
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Two species competition with an inhibitor involvedShen, Wenxian⋅Shen, Wenxian⋅Hetzer, Georg and Hetzer, GeorgDiscrete and Continuous Dynamical Systems, vol. 12, (no. 1), pp. 57, 2004-12-00.
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Uniform persistence for nonautonomous and random parabolic Kolmogorov systemsMierczyński, Janusz⋅Shen, Wenxian and Zhao, Xiao-QiangJournal of Differential Equations, vol. 204, (no. 2), pp. 510, 2004.
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2003
Dynamics in coupled oscillators with recurrent/random forcing, a PDE approachShen, WenxianJournal of Mathematical Analysis and Applications, vol. 288, (no. 2), pp. 605, 2003.
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Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equationsMierczyński, Janusz and Shen, WenxianJournal of Differential Equations, vol. 191, (no. 1), pp. 205, 2003-06-01.
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Traveling waves in time periodic lattice differential equationsShen, WenxianNonlinear Analysis, vol. 54, (no. 2), pp. 339, 2003.
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2002
Asymptotic Behavior of Positive Solutions of Random and Stochastic Parabolic Equations of Fisher and Kolmogorov TypesHetzer, Georg⋅Hetzer, Georg⋅Shen, Wenxian⋅Shen, Wenxian⋅Zhu, Shu and Zhu, ShuJournal of Dynamics and Differential Equations, vol. 14, (no. 1), pp. 188, 20020100.
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Uniform Persistence, Coexistence, and Extinction in Almost Periodic/Nonautonomous Competition Diffusion SystemsHetzer, Georg⋅Hetzer, Georg⋅Shen, Wenxian and Shen, WenxianSIAM Journal on Mathematical Analysis, vol. 34, (no. 1), pp. 227, 2002-01-00.
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2001
Convergence in Almost Periodic Competition Diffusion SystemsHetzer, Georg⋅Hetzer, Georg⋅Shen, Wenxian and Shen, WenxianJournal of Mathematical Analysis and Applications, vol. 262, (no. 1), pp. 338, 2001.
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Dynamical Systems and Traveling Waves in Almost Periodic StructuresShen, WenxianJournal of Differential Equations, vol. 169, (no. 2), pp. 548, 2001-01-20.
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1999
TRAVELING WAVES IN CELLULAR NEURAL NETWORKSHSU, CHENG-HSIUNG⋅LIN, SONG-SUN and Shen, WenxianInternational Journal of Bifurcation and Chaos, vol. 9, (no. 7), pp. 1319, 19990700.
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Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities: II. ExistenceShen, WenxianJournal of Differential Equations, vol. 159, (no. 1), pp. 101, 1999-11-20.
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