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## Zhou, Shengfan

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 Author ID: zhou.shengfan Published as: Zhou, S.; Zhou, S. F.; Zhou, Sheng Fan; Zhou, Sheng-Fan; Zhou, Sheng-fan; Zhou, Shengfan External Links: MGP · dblp
 Documents Indexed: 170 Publications since 1994
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#### Co-Authors

 26 single-authored 27 Zhao, Caidi 18 Wang, Zhaojuan 11 Li, Hongyan 11 Yin, Fuqi 10 Liao, Xinyuan 10 Zhao, Min 9 Li, Yongsheng 8 Ouyang, Zigen 7 Han, Xiaoying 5 Gu, Anhui 4 Chen, Yuming 4 Han, Zongfei 4 Jia, Qiuli 4 Wang, Yejuan 4 Zhu, Shu 3 Fan, Xiaoming 3 Huang, Jinwu 3 Ma, Jianhua 3 Shen, Wenxian 3 Shen, Zhongwei 3 Su, Haijuan 3 Wu, Luyao 2 Bai, Yu 2 Chen, Hong 2 Chen, Tao 2 Lou, Jiajia 2 Qian, Min 2 Shi, Wei 2 Tan, Huirong 2 Tian, Yongxiao 2 Xiang, Xiaolin 2 Xiao, Cuihui 2 You, Yuncheng 2 Zhao, Qiang 2 Zhao, Yanju 1 Ban, Ailing 1 Chen, Shuangquan 1 Cui, Hongzhen 1 Dong, Xuhua 1 Huang, Xuling 1 Jiang, Xuying 1 Jin, Qingfei 1 Lai, Shaoyong 1 Li, Xinqiao 1 Lian, Xinze 1 Liang, Zhiqing 1 Qin, Wenxin 1 Raffoul, Youssef Naim 1 Sonis, Michael 1 Tang, Xianhua 1 Wang, Linshan 1 Wang, Meng 1 Wang, Weiming 1 Wei, Lu 1 Yin, Changming 1 Zhao, Xiao-Qiang 1 Zhong, Chengkui 1 Zhou, Xiao-peng
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#### Serials

 11 Journal of Mathematical Analysis and Applications 10 Journal of Differential Equations 9 Journal of Mathematical Physics 9 Acta Mathematicae Applicatae Sinica. English Series 9 Discrete and Continuous Dynamical Systems 8 Applied Mathematics and Computation 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Zhejiang Normal University. Natural Sciences 6 Applied Mathematics Letters 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Computational and Applied Mathematics 4 Journal of Shanghai University. Natural Science 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Sinica. English Series 4 Nonlinear Analysis. Real World Applications 4 Stochastics and Dynamics 3 Nonlinearity 3 Quarterly of Applied Mathematics 3 Acta Mathematicae Applicatae Sinica 3 Advances in Mathematics 3 Journal of Difference Equations and Applications 3 Acta Mathematica Sinica. Chinese Series 2 Acta Mathematica Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 Physica D 2 Topological Methods in Nonlinear Analysis 2 Journal of Shanghai University 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 Journal of Applied Analysis and Computation 1 Computers & Mathematics with Applications 1 Proceedings of the American Mathematical Society 1 Journal of Sichuan University. Natural Science Edition 1 Journal of Systems Science and Mathematical Sciences 1 Northeastern Mathematical Journal 1 Science in China. Series A 1 Dynamic Systems and Applications 1 Journal of Dynamics and Differential Equations 1 Applied Mathematics. Series A (Chinese Edition) 1 Functional Differential Equations 1 Taiwanese Journal of Mathematics 1 Chinese Quarterly Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Henan University of Science and Technology. Natural Science 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics
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#### Fields

 105 Partial differential equations (35-XX) 105 Dynamical systems and ergodic theory (37-XX) 35 Ordinary differential equations (34-XX) 33 Probability theory and stochastic processes (60-XX) 13 Fluid mechanics (76-XX) 11 Biology and other natural sciences (92-XX) 9 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Mechanics of particles and systems (70-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

122 Publications have been cited 1,319 times in 567 Documents Cited by Year
Random attractors for stochastic lattice dynamical systems in weighted spaces. Zbl 1208.60063
Han, Xiaoying; Shen, Wenxian; Zhou, Shengfan
2011
Attractors and approximations for lattice dynamical systems. Zbl 1173.37331
Zhou, Shengfan
2004
Attractors for first-order dissipative lattice dynamical systems. Zbl 1011.37047
Zhou, Shengfan
2003
Attractors for second order lattice dynamical systems. Zbl 1002.37040
Zhou, Shengfan
2002
Attractors and dimension of dissipative lattice systems. Zbl 1091.37023
Zhou, Shengfan; Shi, Wei
2006
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106
Zhao, Caidi; Zhou, Shengfan
2009
One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation. Zbl 1190.60047
Shen, Zhongwei; Zhou, Shengfan; Shen, Wenxian
2010
Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains. Zbl 1227.60087
Wang, Zhaojuan; Zhou, Shengfan
2011
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
2007
Pullback attractors of nonautonomous dynamical systems. Zbl 1179.37105
Wang, Yejuan; Zhong, Chengkui; Zhou, Shengfan
2006
Kernel sections for processes and nonautonomous lattice systems. Zbl 1149.37040
Zhao, Xiao-Qiang; Zhou, Shengfan
2008
Permanence and global stability in a discrete $$n$$-species competition system with feedback controls. Zbl 1154.34352
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2008
Kernel sections and uniform attractors of multi-valued semiprocesses. Zbl 1184.37063
Wang, Yejuan; Zhou, Shengfan
2007
Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise. Zbl 1364.37158
Zhou, Shengfan
2017
Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037
Zhao, Caidi; Zhou, Shengfan
2008
Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and feedback controls. Zbl 1143.39005
Liao, Xinyuan; Ouyang, Zigen; Zhou, Shengfan
2008
Pullback exponential attractors for non-autonomous lattice systems. Zbl 1267.34020
Zhou, Shengfan; Han, Xiaoying
2012
A random attractor for a stochastic second order lattice system with random coupled coefficients. Zbl 1268.37091
Zhou, Shengfan; Wei, Lu
2012
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
2005
Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains. Zbl 1231.35025
Wang, Zhaojuan; Zhou, Shengfan; Gu, Anhui
2011
Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057
Zhao, Caidi; Zhou, Shengfan
2007
Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise. Zbl 1342.37075
Zhou, Shengfan; Zhao, Min
2016
Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. Zbl 1182.35048
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2009
Kernel sections of multi-valued processes with application to the nonlinear reaction-diffusion equations in unbounded domains. Zbl 1185.37055
Wang, Yejuan; Zhou, Shengfan
2009
Attractors of retarded first order lattice systems. Zbl 1130.34053
Zhao, Caidi; Zhou, Shengfan
2007
Random attractors for damped non-autonomous wave equations with memory and white noise. Zbl 1332.37060
Zhou, Shengfan; Zhao, Min
2015
Global attractor for strongly damped nonlinear wave equations. Zbl 1027.35018
Zhou, Shengfan
1999
Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2007
Kernel sections for non-autonomous strongly damped wave equations of non-degenerate Kirchhoff-type. Zbl 1107.35084
Fan, Xiaoming; Zhou, Shengfan
2004
Kernel sections for non-autonomous strongly damped wave equations. Zbl 1072.35560
Zhou, Shengfan; Fan, Xiaoming
2002
Attractors for strongly damped wave equations with critical exponent. Zbl 1039.37071
Zhou, Shengfan
2003
Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations. Zbl 1410.37068
Zhou, Shengfan; Tian, Yongxiao; Wang, Zhaojuan
2016
Attractors for lattice systems corresponding to evolution equations. Zbl 1002.37039
Zhou, Shengfan
2002
Dimension of the global attractor for strongly damped nonlinear wave equation. Zbl 0928.35105
Zhou, Shengfan
1999
Fractal dimension of random invariant sets for nonautonomous random dynamical systems and random attractor for stochastic damped wave equation. Zbl 1330.37065
Zhou, Shengfan; Zhao, Min
2016
Random exponential attractor for stochastic reaction-diffusion equation with multiplicative noise in $$\mathbb{R}^3$$. Zbl 1373.37173
Zhou, Shengfan
2017
Upper-semicontinuity of attractors for random lattice systems perturbed by small white noises. Zbl 1258.37072
Zhou, Shengfan
2012
On permanence and global stability in a general Gilpin-Ayala competition predator-prey discrete system. Zbl 1125.39008
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2007
Dimension of the global attractor for damped nonlinear wave equations. Zbl 0940.35038
Zhou, Shengfan
1999
Uniform exponential attractor for second order lattice system with quasi-periodic external forces in weighted space. Zbl 1284.34019
Zhou, Shengfan; Zhao, Min
2014
Uniform exponential attractors for non-autonomous KGS and Zakharov lattice systems with quasiperiodic external forces. Zbl 1281.35005
Zhou, Shengfan; Han, Xiaoying
2013
Compact kernel sections for lattice systems with delays. Zbl 1169.34055
Zhao, Caidi; Zhou, Shengfan; Wang, Weiming
2009
Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040
Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan
2008
Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting. Zbl 1207.92047
Liao, Xinyuan; Chen, Yuming; Zhou, Shengfan
2011
Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems. Zbl 1230.37097
Huang, Jin-wu; Han, Xiao-ying; Zhou, Sheng-fan
2009
On non-autonomous strongly damped wave equations with a uniform attractor and some averaging. Zbl 1145.35043
Li, Hongyan; Zhou, Shengfan
2008
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031
Zhao, Caidi; Zhou, Shengfan
2008
$$L^2$$-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space. Zbl 1137.37332
Zhao, Caidi; Zhou, Shengfan
2007
Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise. Zbl 1359.37115
Zhou, Shengfan; Wang, Zhaojuan
2016
$$H^1$$-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains. Zbl 1192.37105
Zhao, Caidi; Zhou, Shengfan; Lian, Xinze
2008
Permanence for a discrete time Lotka-Volterra type food-chain model with delays. Zbl 1120.92046
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2007
Uniform attractor of non-autonomous three-component reversible Gray-Scott system. Zbl 1292.35057
Gu, Anhui; Zhou, Shengfan; Wang, Zhaojuan
2013
The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083
You, Yuncheng; Zhao, Caidi; Zhou, Shengfan
2012
Random attractor of the stochastic strongly damped wave equation. Zbl 1244.35166
Wang, Zhaojuan; Zhou, Shengfan; Gu, Anhui
2012
Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2009
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327
Zhao, Caidi; Zhou, Shengfan
2008
Structure of the global attractor for a second order strongly damped lattice system. Zbl 1112.37075
Li, Hongyan; Zhou, Shengfan
2007
Random attractors for non-autonomous stochastic lattice Fitzhugh-Nagumo systems with random coupled coefficients. Zbl 1357.37088
Wang, Zhaojuan; Zhou, Shengfan
2016
Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021
Zhao, Caidi; Zhou, Shengfan
2010
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048
Zhao, Caidi; Zhou, Shengfan
2008
On a stoichiometric two predators on one prey discrete model. Zbl 1119.39008
Liao, Xinyuan; Zhou, Shengfan; Ouyang, Zigen
2007
Kolmogorov entropy of global attractor for dissipative lattice dynamical systems. Zbl 1063.34045
Jia, Qiuli; Zhou, Shengfan; Yin, Fuqi
2003
Kernel sections for damped non-autonomous wave equations with linear memory and critical exponent. Zbl 1057.35074
Zhou, Shengfan
2003
Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise. Zbl 1426.37055
Wang, Zhaojuan; Zhou, Shengfan
2018
Random attractor for stochastic non-autonomous damped wave equation with critical exponent. Zbl 1354.37058
Wang, Zhaojuan; Zhou, Shengfan
2017
Global dissipative dynamics of the extended Brusselator system. Zbl 1253.35192
You, Yuncheng; Zhou, Shengfan
2012
Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004
Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di
2010
Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053
Zhao, Caidi; Zhou, Shengfan
2007
Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047
Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan
2006
Attractors for second-order lattice dynamical systems with damping. Zbl 1059.37063
Zhou, Shengfan
2002
On dimension of the global attractor for damped nonlinear wave equations. Zbl 0943.35009
Zhou, Shengfan
1999
Attractors for second order nonautonomous lattice system with dispersive term. Zbl 1361.60055
Xiang, Xiaolin; Zhou, Shengfan
2015
Random attractor of non-autonomous stochastic Boussinesq lattice system. Zbl 1332.37061
Zhao, Min; Zhou, Shengfan
2015
Random attractors for stochastic retarded lattice systems. Zbl 1309.37074
Zhou, Shengfan; Wang, Zhaojuan
2013
Synchronization slaved by partial-states in lattices of non-autonomous coupled Lorenz equation. Zbl 1221.37073
Zhao, Qiang; Zhou, Shengfan; Li, Xinqiao
2008
On the discrete-time multi-species competition-predation system with several delays. Zbl 1129.92067
Liao, Xinyuan; Zhou, Shengfan; Raffoul, Youssef N.
2008
One-dimensional global attractor for strongly damped wave equations. Zbl 1111.35088
Li, Hongyan; Zhou, Shengfan
2007
Kernel sections for damped non-autonomous wave equations with critical exponent. Zbl 1026.35083
Zhou, Shengfan; Wang, Linshan
2003
Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity. Zbl 0988.37094
Zhou, Shengfan
2000
One-dimensional global attractor for the damped and driven sine-Gordon equation. Zbl 0906.35015
Qian, Min; Zhou, Shengfan; Zhu, Shu
1998
Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients. Zbl 1353.37108
Wang, Zhaojuan; Zhou, Shengfan
2016
Synchronization of coupled stochastic systems with multiplicative noise. Zbl 1203.60077
Shen, Zhongwei; Zhou, Shengfan; Han, Xiaoying
2010
Attractor for lattice system of dissipative Zakharov equation. Zbl 1181.34064
Yin, Fuqi; Zhou, Shengfan; Ouyang, Zigen; Xiao, Cuihui
2009
Global attractor for Klein-gordon-schrödinger lattice system. Zbl 1231.37039
Yin, Fu-Qi; Zhou, Sheng-Fan; Yin, Chang-Ming; Xiao, Cui-Hui
2007
Permanence and stability of equilibrium for a two-prey one-predator discrete model. Zbl 1123.39012
Liao, Xinyuan; Ouyang, Zigen; Zhou, Shengfan
2007
Global periodic attractor for strongly damped wave equations with time-periodic driving force. Zbl 1071.35091
Li, Hongyan; Zhou, Shengfan; Yin, Fuqi
2004
Dimension of the global attractor for discretizations of the damped sine-Gordon equation. Zbl 0935.35145
Zhou, Shengfan
1999
Random attractor for non-autonomous stochastic Boussinesq lattice equations with additive white noises. Zbl 1438.35067
Zhao, Min; Zhou, Shengfan
2018
Uniform exponential attractors for second order non-autonomous lattice dynamical systems. Zbl 1372.37122
Zhou, Xiao-peng; Yin, Fu-qi; Zhou, Sheng-fan
2017
Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice Fitzhugh-Nagumo systems in weighted spaces. Zbl 1419.37071
Wang, Zhaojuan; Zhou, Shengfan
2016
Pullback and uniform exponential attractors for nonautonomous Boussinesq lattice system. Zbl 1321.34025
Zhao, Min; Zhou, Shengfan
2015
Random attractors for stochastic three-component reversible Gray-Scott system on infinite lattices. Zbl 1284.37043
Gu, Anhui; Wang, Zhaojuan; Zhou, Shengfan
2012
A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2011
Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044
Zhao, Caidi; Zhou, Shengfan
2010
A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. Zbl 1165.35329
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Global periodic attractor for strongly damped and driven wave equations. Zbl 1106.35010
Li, Hongyan; Zhou, Shengfan
2006
Dimension of the global attractor for damped semilinear wave equations with critical exponent. Zbl 0948.35017
Zhou, Shengfan
1999
Dimension of the global attractor for the damped and driven sine-Gordon equation. Zbl 0936.37045
Zhu, Shu; Zhou, Sheng-Fan
1999
A sufficient condition for the existence of restricted fractional $$(g, f)$$-factors in graphs. Zbl 1459.05275
Zhou, S.; Sun, Z.; Pan, Q.
2020
Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise. Zbl 07161211
Su, Haijuan; Zhou, Shengfan; Wu, Luyao
2019
Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces. Zbl 1458.37080
Su, Haijuan; Zhou, Shengfan; Wu, Luyao
2019
Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise. Zbl 1426.37055
Wang, Zhaojuan; Zhou, Shengfan
2018
Random attractor for non-autonomous stochastic Boussinesq lattice equations with additive white noises. Zbl 1438.35067
Zhao, Min; Zhou, Shengfan
2018
Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise. Zbl 1364.37158
Zhou, Shengfan
2017
Random exponential attractor for stochastic reaction-diffusion equation with multiplicative noise in $$\mathbb{R}^3$$. Zbl 1373.37173
Zhou, Shengfan
2017
Random attractor for stochastic non-autonomous damped wave equation with critical exponent. Zbl 1354.37058
Wang, Zhaojuan; Zhou, Shengfan
2017
Uniform exponential attractors for second order non-autonomous lattice dynamical systems. Zbl 1372.37122
Zhou, Xiao-peng; Yin, Fu-qi; Zhou, Sheng-fan
2017
Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped wave equation with multiplicative noise. Zbl 1365.37060
Wang, Zhaojuan; Zhou, Shengfan
2017
Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise. Zbl 1342.37075
Zhou, Shengfan; Zhao, Min
2016
Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations. Zbl 1410.37068
Zhou, Shengfan; Tian, Yongxiao; Wang, Zhaojuan
2016
Fractal dimension of random invariant sets for nonautonomous random dynamical systems and random attractor for stochastic damped wave equation. Zbl 1330.37065
Zhou, Shengfan; Zhao, Min
2016
Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise. Zbl 1359.37115
Zhou, Shengfan; Wang, Zhaojuan
2016
Random attractors for non-autonomous stochastic lattice Fitzhugh-Nagumo systems with random coupled coefficients. Zbl 1357.37088
Wang, Zhaojuan; Zhou, Shengfan
2016
Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients. Zbl 1353.37108
Wang, Zhaojuan; Zhou, Shengfan
2016
Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice Fitzhugh-Nagumo systems in weighted spaces. Zbl 1419.37071
Wang, Zhaojuan; Zhou, Shengfan
2016
Random attractor for stochastic second-order non-autonomous stochastic lattice equations with dispersive term. Zbl 1343.60079
Xiang, Xiaolin; Zhou, Shengfan
2016
Random attractors for damped non-autonomous wave equations with memory and white noise. Zbl 1332.37060
Zhou, Shengfan; Zhao, Min
2015
Attractors for second order nonautonomous lattice system with dispersive term. Zbl 1361.60055
Xiang, Xiaolin; Zhou, Shengfan
2015
Random attractor of non-autonomous stochastic Boussinesq lattice system. Zbl 1332.37061
Zhao, Min; Zhou, Shengfan
2015
Pullback and uniform exponential attractors for nonautonomous Boussinesq lattice system. Zbl 1321.34025
Zhao, Min; Zhou, Shengfan
2015
Random attractor for non-autonomous stochastic strongly damped wave equation on unbounded domains. Zbl 1451.37095
Wang, Zhaojuan; Zhou, Shengfan
2015
Uniform exponential attractor for second order lattice system with quasi-periodic external forces in weighted space. Zbl 1284.34019
Zhou, Shengfan; Zhao, Min
2014
Uniform exponential attractor for nonautonomous partly dissipative lattice dynamical system. Zbl 1303.34008
Zhou, Sheng Fan; Lou, Jia Jia
2014
Random attractor and upper semi-continuity for Zakharov lattice system with multiplicative white noise. Zbl 1291.60140
Zhou, Shengfan; Bai, Yu
2014
Uniform exponential attractors for non-autonomous KGS and Zakharov lattice systems with quasiperiodic external forces. Zbl 1281.35005
Zhou, Shengfan; Han, Xiaoying
2013
Uniform attractor of non-autonomous three-component reversible Gray-Scott system. Zbl 1292.35057
Gu, Anhui; Zhou, Shengfan; Wang, Zhaojuan
2013
Random attractors for stochastic retarded lattice systems. Zbl 1309.37074
Zhou, Shengfan; Wang, Zhaojuan
2013
Asymptotic dynamics of a class of coupled oscillators driven by white noises. Zbl 1305.60047
Shen, Wenxian; Shen, Zhongwei; Zhou, Shengfan
2013
Pullback exponential attractors for non-autonomous lattice systems. Zbl 1267.34020
Zhou, Shengfan; Han, Xiaoying
2012
A random attractor for a stochastic second order lattice system with random coupled coefficients. Zbl 1268.37091
Zhou, Shengfan; Wei, Lu
2012
Upper-semicontinuity of attractors for random lattice systems perturbed by small white noises. Zbl 1258.37072
Zhou, Shengfan
2012
The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083
You, Yuncheng; Zhao, Caidi; Zhou, Shengfan
2012
Random attractor of the stochastic strongly damped wave equation. Zbl 1244.35166
Wang, Zhaojuan; Zhou, Shengfan; Gu, Anhui
2012
Global dissipative dynamics of the extended Brusselator system. Zbl 1253.35192
You, Yuncheng; Zhou, Shengfan
2012
Random attractors for stochastic three-component reversible Gray-Scott system on infinite lattices. Zbl 1284.37043
Gu, Anhui; Wang, Zhaojuan; Zhou, Shengfan
2012
Random attractors for stochastic lattice dynamical systems in weighted spaces. Zbl 1208.60063
Han, Xiaoying; Shen, Wenxian; Zhou, Shengfan
2011
Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains. Zbl 1227.60087
Wang, Zhaojuan; Zhou, Shengfan
2011
Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains. Zbl 1231.35025
Wang, Zhaojuan; Zhou, Shengfan; Gu, Anhui
2011
Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting. Zbl 1207.92047
Liao, Xinyuan; Chen, Yuming; Zhou, Shengfan
2011
A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2011
Running periodic solution of equation of pendulum type with segment linear periodic function. Zbl 1210.34058
Zhao, Yanju; Zhou, Shengfan
2011
One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation. Zbl 1190.60047
Shen, Zhongwei; Zhou, Shengfan; Shen, Wenxian
2010
Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021
Zhao, Caidi; Zhou, Shengfan
2010
Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004
Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di
2010
Synchronization of coupled stochastic systems with multiplicative noise. Zbl 1203.60077
Shen, Zhongwei; Zhou, Shengfan; Han, Xiaoying
2010
Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044
Zhao, Caidi; Zhou, Shengfan
2010
Compact kernel sections for dissipative non-autonomous Zakharov equation on infinite lattices. Zbl 1196.34013
Zhou, Shengfan; Huang, Jinwu; Han, Xiaoying
2010
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106
Zhao, Caidi; Zhou, Shengfan
2009
Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. Zbl 1182.35048
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2009
Kernel sections of multi-valued processes with application to the nonlinear reaction-diffusion equations in unbounded domains. Zbl 1185.37055
Wang, Yejuan; Zhou, Shengfan
2009
Compact kernel sections for lattice systems with delays. Zbl 1169.34055
Zhao, Caidi; Zhou, Shengfan; Wang, Weiming
2009
Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems. Zbl 1230.37097
Huang, Jin-wu; Han, Xiao-ying; Zhou, Sheng-fan
2009
Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2009
Attractor for lattice system of dissipative Zakharov equation. Zbl 1181.34064
Yin, Fuqi; Zhou, Shengfan; Ouyang, Zigen; Xiao, Cuihui
2009
Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function. Zbl 1212.34147
Chen, Tao; Zhou, Shengfan
2009
Kernel sections for processes and nonautonomous lattice systems. Zbl 1149.37040
Zhao, Xiao-Qiang; Zhou, Shengfan
2008
Permanence and global stability in a discrete $$n$$-species competition system with feedback controls. Zbl 1154.34352
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2008
Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037
Zhao, Caidi; Zhou, Shengfan
2008
Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and feedback controls. Zbl 1143.39005
Liao, Xinyuan; Ouyang, Zigen; Zhou, Shengfan
2008
Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040
Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan
2008
On non-autonomous strongly damped wave equations with a uniform attractor and some averaging. Zbl 1145.35043
Li, Hongyan; Zhou, Shengfan
2008
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031
Zhao, Caidi; Zhou, Shengfan
2008
$$H^1$$-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains. Zbl 1192.37105
Zhao, Caidi; Zhou, Shengfan; Lian, Xinze
2008
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327
Zhao, Caidi; Zhou, Shengfan
2008
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048
Zhao, Caidi; Zhou, Shengfan
2008
Synchronization slaved by partial-states in lattices of non-autonomous coupled Lorenz equation. Zbl 1221.37073
Zhao, Qiang; Zhou, Shengfan; Li, Xinqiao
2008
On the discrete-time multi-species competition-predation system with several delays. Zbl 1129.92067
Liao, Xinyuan; Zhou, Shengfan; Raffoul, Youssef N.
2008
A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. Zbl 1165.35329
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
2007
Kernel sections and uniform attractors of multi-valued semiprocesses. Zbl 1184.37063
Wang, Yejuan; Zhou, Shengfan
2007
Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057
Zhao, Caidi; Zhou, Shengfan
2007
Attractors of retarded first order lattice systems. Zbl 1130.34053
Zhao, Caidi; Zhou, Shengfan
2007
Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2007
On permanence and global stability in a general Gilpin-Ayala competition predator-prey discrete system. Zbl 1125.39008
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2007
$$L^2$$-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space. Zbl 1137.37332
Zhao, Caidi; Zhou, Shengfan
2007
Permanence for a discrete time Lotka-Volterra type food-chain model with delays. Zbl 1120.92046
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2007
Structure of the global attractor for a second order strongly damped lattice system. Zbl 1112.37075
Li, Hongyan; Zhou, Shengfan
2007
On a stoichiometric two predators on one prey discrete model. Zbl 1119.39008
Liao, Xinyuan; Zhou, Shengfan; Ouyang, Zigen
2007
Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053
Zhao, Caidi; Zhou, Shengfan
2007
One-dimensional global attractor for strongly damped wave equations. Zbl 1111.35088
Li, Hongyan; Zhou, Shengfan
2007
Global attractor for Klein-gordon-schrödinger lattice system. Zbl 1231.37039
Yin, Fu-Qi; Zhou, Sheng-Fan; Yin, Chang-Ming; Xiao, Cui-Hui
2007
Permanence and stability of equilibrium for a two-prey one-predator discrete model. Zbl 1123.39012
Liao, Xinyuan; Ouyang, Zigen; Zhou, Shengfan
2007
Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane. Zbl 1135.35019
Zhao, Cai Di; Li, Yong Sheng; Zhou, Sheng Fan
2007
Attractors and dimension of dissipative lattice systems. Zbl 1091.37023
Zhou, Shengfan; Shi, Wei
2006
Pullback attractors of nonautonomous dynamical systems. Zbl 1179.37105
Wang, Yejuan; Zhong, Chengkui; Zhou, Shengfan
2006
Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047
Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan
2006
Global periodic attractor for strongly damped and driven wave equations. Zbl 1106.35010
Li, Hongyan; Zhou, Shengfan
2006
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
2005
Kolmogorov’s $$\epsilon$$-entropy of attractors for lattice systems. Zbl 1092.37524
Zhou, Shengfan; Jia, Qiuli; Yin, Fuqi
2005
Oscillation for a class of neutral parabolic differential equations. Zbl 1094.35129
Ouyang, Zigen; Zhou, Shengfan; Yin, Fuqi
2005
Oscillation for a class of odd-order delay parabolic differential equations. Zbl 1072.35194
Ouyang, Zigen; Zhou, Shengfan; Yin, Fuqi
2005
Attractors and approximations for lattice dynamical systems. Zbl 1173.37331
Zhou, Shengfan
2004
Kernel sections for non-autonomous strongly damped wave equations of non-degenerate Kirchhoff-type. Zbl 1107.35084
Fan, Xiaoming; Zhou, Shengfan
2004
Global periodic attractor for strongly damped wave equations with time-periodic driving force. Zbl 1071.35091
Li, Hongyan; Zhou, Shengfan; Yin, Fuqi
2004
The inflated attractors of non-autonomous strongly damped wave equations. Zbl 1073.35042
Fan, Xiaoming; Zhou, Shengfan
2004
Attractors for first-order dissipative lattice dynamical systems. Zbl 1011.37047
Zhou, Shengfan
2003
...and 22 more Documents
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#### Cited by 572 Authors

 89 Zhou, Shengfan 37 Zhao, Caidi 33 Li, Yangrong 30 Wang, Bixiang 20 Gu, Anhui 20 Han, Xiaoying 20 Kloeden, Peter Eris 19 Wang, Yejuan 18 Wang, Zhaojuan 16 Yang, Zhijian 15 Wang, Renhai 13 Caraballo Garrido, Tomás 11 Abdallah, Ahmed Y. 11 Valero, José 10 Li, Dingshi 10 Shu, Ji 10 Teng, Zhi-dong 10 Wang, Xiaohu 10 Yin, Fuqi 9 Fan, Xiaoming 9 Zhao, Wenqiang 8 Li, Hongyan 8 Morillas, Francisco G. 8 Zhao, Min 7 Huang, Jianhua 7 Li, Xiaojun 7 Liu, Guowei 7 Shi, Lin 7 Yin, Jinyan 6 Cui, Hongyong 6 Ding, Pengyan 6 Ding, Xiaoquan 6 Guo, Chunxiao 6 Lu, Kening 6 Tachim Medjo, Theodore 6 Xu, Changjin 6 Zhong, Chengkui 5 Chen, Fengde 5 Guo, Boling 5 Li, Desheng 5 Li, Yongkun 5 Liu, Zhiming 5 She, Lianbing 5 Sun, Wenlong 5 Yang, Meihua 5 Yang, Shuang 4 Duan, Jinqiao 4 Guo, Yanfeng 4 Huang, Zhehao 4 Jia, Xiaoyao 4 Khanmamedov, Azer Kh. 4 Li, Chunqiu 4 Li, Jia 4 Li, Yongjun 4 Li, Yongsheng 4 Liao, Xinyuan 4 Liu, Zhengrong 4 Łukaszewicz, Grzegorz 4 Ma, Qiaozhen 4 Ouyang, Zigen 4 Song, Yukun 4 Xie, Xiangdong 4 Yang, Xinguang 4 Zhang, Jian 3 Cao, Dengqing 3 Cao, Juan 3 Chen, Huatao 3 Chen, Lijuan 3 Chen, Yang 3 Chueshov, Igor’ Dmitrievich 3 Gao, Shujing 3 Jiang, Jingfei 3 Li, Jin 3 Liu, Linfang 3 Liu, Zhijun 3 Lv, Yan 3 Pata, Vittorino 3 Pereira, Jardel Morais 3 Shen, Wenxian 3 Straughan, Brian 3 Wang, Jingyu 3 Wu, Delin 3 Wu, Yusen 3 Xu, Daoyi 3 Xu, Jiabo 3 Zhang, Tianwei 3 Zhang, Xu 3 Zhao, Junyilang 3 Zhao, Lu 3 Zhao, Tinggang 3 Zhu, Zeqi 2 Bai, Lihong 2 Bai, Qianqian 2 Bhatti, Harbax Singh 2 Chen, Guangye 2 Chen, Shuai 2 Chen, Yuming 2 Cholewa, Jan W. 2 Dhar, Joydip 2 di Plinio, Francesco ...and 472 more Authors
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#### Cited in 103 Serials

 42 Journal of Differential Equations 36 Journal of Mathematical Analysis and Applications 31 Journal of Mathematical Physics 29 Discrete and Continuous Dynamical Systems. Series B 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Applied Mathematics and Computation 19 Discrete and Continuous Dynamical Systems 19 Discrete Dynamics in Nature and Society 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Advances in Difference Equations 15 Abstract and Applied Analysis 12 Nonlinear Analysis. Real World Applications 12 Stochastics and Dynamics 11 Computers & Mathematics with Applications 11 Applied Mathematics Letters 10 Journal of Difference Equations and Applications 10 Journal of Applied Analysis and Computation 9 Acta Mathematicae Applicatae Sinica. English Series 9 Communications in Nonlinear Science and Numerical Simulation 9 Communications on Pure and Applied Analysis 7 Acta Applicandae Mathematicae 7 Physica D 7 Mathematical Problems in Engineering 6 Journal of Dynamics and Differential Equations 6 Acta Mathematica Sinica. English Series 6 Boundary Value Problems 6 Open Mathematics 6 Electronic Research Archive 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Stochastic Analysis and Applications 5 Journal of Applied Mathematics and Computing 4 Applied Mathematics and Mechanics. (English Edition) 4 Nonlinear Dynamics 4 Journal of Inequalities and Applications 4 Dynamical Systems 3 Nonlinearity 3 Chaos, Solitons and Fractals 3 Quarterly of Applied Mathematics 3 Journal of Mathematical Fluid Mechanics 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 International Journal of Biomathematics 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Proceedings of the American Mathematical Society 2 Mathematical and Computer Modelling 2 International Journal of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Russian Journal of Mathematical Physics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Complexity 2 Journal of Mathematical Chemistry 2 Differential Equations and Dynamical Systems 2 Chaos 2 Qualitative Theory of Dynamical Systems 2 Journal of Evolution Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Set-Valued and Variational Analysis 2 Korean Journal of Mathematics 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Biosciences 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematische Nachrichten 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Asymptotic Analysis 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Set-Valued Analysis 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Electronic Research Announcements of the American Mathematical Society 1 Taiwanese Journal of Mathematics 1 Journal of Shanghai University 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Modelling and Control 1 Computational Methods in Applied Mathematics 1 Journal of Biological Dynamics 1 Networks and Heterogeneous Media 1 Banach Journal of Mathematical Analysis 1 Journal of Nonlinear Science and Applications 1 International Journal of Differential Equations 1 Journal of Geometric Mechanics 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Symmetry 1 Evolution Equations and Control Theory ...and 3 more Serials
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#### Cited in 31 Fields

 330 Partial differential equations (35-XX) 303 Dynamical systems and ergodic theory (37-XX) 129 Probability theory and stochastic processes (60-XX) 119 Ordinary differential equations (34-XX) 84 Biology and other natural sciences (92-XX) 62 Fluid mechanics (76-XX) 40 Difference and functional equations (39-XX) 25 Systems theory; control (93-XX) 14 Numerical analysis (65-XX) 14 Mechanics of deformable solids (74-XX) 9 Operator theory (47-XX) 6 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)