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Lu, Kening

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 Author ID: lu.kening Published as: Lu, Kening; Li, K.; Lu, Ke ning; Li, Kening; Li, K. N.; Lu, K. Homepage: http://math.byu.edu/?mtt_page=kening-lu External Links: MGP
 Documents Indexed: 106 Publications since 1985, including 4 Books
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Co-Authors

 4 single-authored 21 Bates, Peter W. 18 Wang, Bixiang 13 Schmalfuß, Björn 10 Zeng, Chongchun 8 Chow, Shui-Nee 8 Pan, Xingbin 8 Shen, Jun 6 Garrido-Atienza, María José 6 Wang, Xiaohu 6 Zhang, Weinian 5 Li, Weigu 3 Duan, Jinqiao 3 Li, Ji 3 Lian, Zeng 3 Liu, Peidong 2 Caraballo Garrido, Tomás 2 Li, Chengzhi 2 Li, Dingshi 2 Mallet-Paret, John Joseph 2 Shen, Yunqiu 2 Wang, Qiudong 2 Xu, Daoyi 2 Zhang, Wenmeng 2 Zhao, Junyilang 2 Zhou, Linfeng 1 Burchard, Almut 1 Cao, Jianyong 1 Deng, Bo 1 Gu, Anhui 1 Li, Xiaojun 1 Li, Xiliang 1 Lin, Xiaobiao 1 Lisei, Hannelore 1 Miao, Yu 1 Neamţu, Alexandra 1 Sell, George Roger 1 Shi, Lin 1 Wang, Renhai 1 Yang, Zhichun 1 Yu, Fan
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Serials

 25 Journal of Differential Equations 9 Discrete and Continuous Dynamical Systems 6 Transactions of the American Mathematical Society 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Dynamics and Differential Equations 3 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Nonlinearity 2 Memoirs of the American Mathematical Society 2 Physica D 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 The Annals of Probability 1 Inventiones Mathematicae 1 Mathematics and Computers in Simulation 1 Ergodic Theory and Dynamical Systems 1 Journal of Sichuan University. Natural Science Edition 1 Neural Networks 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Stochastic Processes and their Applications 1 Applied Mechanics Reviews 1 Methods and Applications of Analysis 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Frontiers of Mathematics in China 1 RIMS Kôkyûroku Bessatsu 1 Science China. Mathematics
all top 5

Fields

 63 Dynamical systems and ergodic theory (37-XX) 36 Partial differential equations (35-XX) 29 Probability theory and stochastic processes (60-XX) 25 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

Citations contained in zbMATH Open

92 Publications have been cited 2,120 times in 1,022 Documents Cited by Year
Random attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1155.35112
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2009
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
2006
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2001
Invariant manifolds for flows in Banach spaces. Zbl 0691.58034
Chow, Shui-Nee; Lu, Kening
1988
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2003
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043
Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening
1991
Existence and persistence of invariant manifolds for semiflows in Banach space. Zbl 1023.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1998
Attractors for stochastic lattice dynamical systems with a multiplicative noise. Zbl 1155.60324
Caraballo, Tomás; Lu, Kening
2008
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. Zbl 1200.37047
Lian, Zeng; Lu, Kening
2010
Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2014
Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174
Lu, Kening; Pan, Xing-Bin
1999
Invariant manifolds for stochastic wave equations. Zbl 1113.37056
Lu, Kening; Schmalfuß, Björn
2007
Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058
Lu, Kening; Pan, Xing-Bin
1999
Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Zbl 1200.37075
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2010
Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152
Lu, Kening; Pan, Xing-Bin
2000
A Hartman-Grobman theorem for scalar reaction-diffusion equations. Zbl 0767.35039
Lu, Kening
1991
Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1379.60074
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2018
Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains. Zbl 0979.35135
Lu, Kening; Wang, Bixiang
2001
Sternberg theorems for random dynamical systems. Zbl 1075.37015
Li, Weigu; Lu, Kening
2005
Invariant foliations near normally hyperbolic invariant manifolds for semiflows. Zbl 0964.37018
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2000
Approximately invariant manifolds and global dynamics of spike states. Zbl 1157.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2008
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
1992
C$${}^ k$$ centre unstable manifolds. Zbl 0707.34039
Chow, Shui-Nee; Lu, Ke ning
1988
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2015
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Gauge invariant eigenvalue problems in $$\mathbb R^2$$ and in $$\mathbb R^2_{+}$$. Zbl 1053.35124
Lu, Kening; Pan, Xing-Bin
2000
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Zbl 1186.37094
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2010
Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise. Zbl 1353.34101
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2016
Heteroclinic chaotic behavior driven by a Brownian motion. Zbl 1290.34062
Shen, Jun; Lu, Kening; Zhang, Weinian
2013
Global attraction and stability for Cohen–Grossberg neural networks with delays. Zbl 1178.68437
Lu, Kening; Xu, Daoyi; Yang, Zhichun
2006
Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains. Zbl 1377.35294
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2018
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations. Zbl 1304.37034
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2013
Chaotic behavior in differential equations driven by a Brownian motion. Zbl 1231.34080
Lu, Kening; Wang, Qiudong
2011
A genetic algorithm for scheduling staff of mixed skills under multi-criteria. Zbl 0952.90007
Cai, X.; Li, K. N.
2000
Floquet theory for parabolic differential equations. Zbl 0804.35045
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1994
Wong-Zakai approximations and long term behavior of stochastic partial differential equations. Zbl 1419.35261
Lu, Kening; Wang, Bixiang
2019
Persistence of overflowing manifolds for semiflow. Zbl 0947.37009
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1999
Floquet bundles for scalar parabolic equations. Zbl 0822.35057
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1995
Tempered random attractors for parabolic equations in weighted spaces. Zbl 1288.35097
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2013
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters $$H\in(1/3,1/2]$$. Zbl 1336.60103
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2016
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
2008
A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations. Zbl 0795.35052
Bates, Peter W.; Lu, Kening
1994
Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations. Zbl 1408.35123
Gu, Anhui; Lu, Kening; Wang, Bixiang
2019
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $$H\in (1/3,1/2]$$. Zbl 1335.60111
Garrido-Atienza, María; Lu, Kening; Schmalfuss, Björn
2015
Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088
Lu, Kening; Pan, Xingbin
1996
Upper semicontinuity of attractors for the Klein-Gordon-Schrödinger equation. Zbl 1067.35109
Lu, Kening; Wang, Bixiang
2005
Wong-Zakai approximations and center manifolds of stochastic differential equations. Zbl 1373.60104
Shen, Jun; Lu, Kening
2017
Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence. Zbl 1291.37093
Li, Ji; Lu, Kening; Bates, Peter
2013
Structural stability for scalar parabolic equations. Zbl 0810.35045
Lu, Kening
1994
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
2008
Poincaré theorems for random dynamical systems. Zbl 1098.37050
Li, Weigu; Lu, Kening
2005
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces. Zbl 1362.37155
Lian, Zeng; Liu, Peidong; Lu, Kening
2016
Smooth conjugacy of centre manifolds. Zbl 0745.34040
Burchard, Almut; Deng, Bo; Lu, Kening
1992
Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains. Zbl 1414.35270
Shi, Lin; Wang, Renhai; Lu, Kening; Wang, Bixiang
2019
Chaos in differential equations driven by a nonautonomous force. Zbl 1208.37024
Lu, Kening; Wang, Qiudong
2010
Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044
Chow, Shui-Nee; Lu, Kening
1995
The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations. Zbl 1418.60086
Shen, Jun; Zhao, Junyilang; Lu, Kening; Wang, Bixiang
2019
Equivalences between nonuniform exponential dichotomy and admissibility. Zbl 1356.34060
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2017
An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050
Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G.
2011
Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains. Zbl 1419.35260
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2019
Invariant foliations for random dynamical systems. Zbl 1351.37215
Li, Ji; Lu, Kening; Bates, Peter W.
2014
Normal form and linearization for quasiperiodic systems. Zbl 0761.58046
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1992
Entropy, chaos, and weak horseshoe for infinite-dimensional random dynamical systems. Zbl 1377.37110
Huang, Wen; Lu, Kening
2017
Compensated fractional derivatives and stochastic evolution equations. Zbl 1303.60054
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2012
A Siegel theorem for dynamical systems under random perturbations. Zbl 1145.60317
Li, Weigu; Lu, Kening
2008
Rotation numbers for random dynamical systems on the circle. Zbl 1149.60042
Li, Weigu; Lu, Kening
2008
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
2014
A note on partially hyperbolic attractors: entropy conjecture and SRB measures. Zbl 1351.37138
Lu, Kening; Liu, Peidong
2015
Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076
Li, K.; Huang, Q. B.; Miao, Y.
2010
Thermocapillary convection in floating zones. Zbl 1145.76365
Hu, W. R.; Tang, Z. M.; Li, K.
2008
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces. Zbl 1335.60082
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2015
Convergence and center manifolds for differential equations driven by colored noise. Zbl 1415.60069
Shen, Jun; Lu, Kening; Wang, Bixiang
2019
Geometric singular perturbation theory with real noise. Zbl 1332.34099
Li, Ji; Lu, Kening; Bates, Peter W.
2015
Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces. Zbl 1360.37091
Lu, Kening; Liu, Peidong; Lian, Zeng
2017
Differentiability of the conjugacy in the Hartman-Grobman theorem. Zbl 1362.37053
Zhang, Wenmeng; Lu, Kening; Zhang, Weinian
2017
Invariant foliations of overflowing manifolds for semiflows in Banach space. Zbl 0971.37015
Bates, Peter; Lu, Kening; Zeng, Chongchun
1999
Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1996
The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108
Lu, Kening; Pan, Xingbin
1997
Persistence of $$C^k$$ normally hyperbolic invariant manifolds for infinite dimensional dynamical systems. Zbl 1288.37028
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2001
Approximate normally hyperbolic invariant manifolds for semiflows. Zbl 0959.34036
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2000
Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066
Lu, Kening; Pan, Xing-Bin
2001
Invariant manifolds for infinite dimensional random dynamical systems. Zbl 1283.37060
Lu, Kening; Schmalfuß, Björn
2012
Normally hyperbolic invariant manifolds for semiflow in a Banach space. Zbl 0972.37016
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1997
Structural stability for time periodic parabolic equations. Zbl 0938.35078
Lu, Kening
1997
Takens theorem for random dynamical systems. Zbl 1368.37060
Lu, Kening; Li, Weigu
2016
Generalised particle filters with Gaussian mixtures. Zbl 1327.60096
Crisan, D.; Li, K.
2015
Study on the nonsingular problem of fractional-order terminal sliding mode control. Zbl 1299.93213
Li, Kening; Cao, Jianyong; Yu, Fan
2013
Large-eddy simulation of ethanol spray combustion using a SOM combustion model and its experimental validation. Zbl 1428.80014
Li, K.; Zhou, L. X.; Chan, C. K.; Wang, H. G.
2015
Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics. Zbl 1394.76080
Wang, J. L.; Huang, Q. B.; Liu, Z. X.; Li, K.
2015
On the Oseledets-splitting for infinite-dimensional random dynamical systems. Zbl 1405.37055
Lu, Kening; Neamţu, Alexandra; Schmalfuss, Björn
2018
Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems. Zbl 1462.37086
Wang, Xiaohu; Shen, Jun; Lu, Kening; Wang, Bixiang
2021
Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems. Zbl 1462.37086
Wang, Xiaohu; Shen, Jun; Lu, Kening; Wang, Bixiang
2021
Wong-Zakai approximations and long term behavior of stochastic partial differential equations. Zbl 1419.35261
Lu, Kening; Wang, Bixiang
2019
Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations. Zbl 1408.35123
Gu, Anhui; Lu, Kening; Wang, Bixiang
2019
Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains. Zbl 1414.35270
Shi, Lin; Wang, Renhai; Lu, Kening; Wang, Bixiang
2019
The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations. Zbl 1418.60086
Shen, Jun; Zhao, Junyilang; Lu, Kening; Wang, Bixiang
2019
Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains. Zbl 1419.35260
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2019
Convergence and center manifolds for differential equations driven by colored noise. Zbl 1415.60069
Shen, Jun; Lu, Kening; Wang, Bixiang
2019
Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1379.60074
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2018
Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains. Zbl 1377.35294
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2018
On the Oseledets-splitting for infinite-dimensional random dynamical systems. Zbl 1405.37055
Lu, Kening; Neamţu, Alexandra; Schmalfuss, Björn
2018
Wong-Zakai approximations and center manifolds of stochastic differential equations. Zbl 1373.60104
Shen, Jun; Lu, Kening
2017
Equivalences between nonuniform exponential dichotomy and admissibility. Zbl 1356.34060
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2017
Entropy, chaos, and weak horseshoe for infinite-dimensional random dynamical systems. Zbl 1377.37110
Huang, Wen; Lu, Kening
2017
Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces. Zbl 1360.37091
Lu, Kening; Liu, Peidong; Lian, Zeng
2017
Differentiability of the conjugacy in the Hartman-Grobman theorem. Zbl 1362.37053
Zhang, Wenmeng; Lu, Kening; Zhang, Weinian
2017
Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise. Zbl 1353.34101
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2016
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters $$H\in(1/3,1/2]$$. Zbl 1336.60103
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2016
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces. Zbl 1362.37155
Lian, Zeng; Liu, Peidong; Lu, Kening
2016
Takens theorem for random dynamical systems. Zbl 1368.37060
Lu, Kening; Li, Weigu
2016
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2015
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $$H\in (1/3,1/2]$$. Zbl 1335.60111
Garrido-Atienza, María; Lu, Kening; Schmalfuss, Björn
2015
A note on partially hyperbolic attractors: entropy conjecture and SRB measures. Zbl 1351.37138
Lu, Kening; Liu, Peidong
2015
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces. Zbl 1335.60082
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2015
Geometric singular perturbation theory with real noise. Zbl 1332.34099
Li, Ji; Lu, Kening; Bates, Peter W.
2015
Generalised particle filters with Gaussian mixtures. Zbl 1327.60096
Crisan, D.; Li, K.
2015
Large-eddy simulation of ethanol spray combustion using a SOM combustion model and its experimental validation. Zbl 1428.80014
Li, K.; Zhou, L. X.; Chan, C. K.; Wang, H. G.
2015
Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics. Zbl 1394.76080
Wang, J. L.; Huang, Q. B.; Liu, Z. X.; Li, K.
2015
Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2014
Invariant foliations for random dynamical systems. Zbl 1351.37215
Li, Ji; Lu, Kening; Bates, Peter W.
2014
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
2014
Heteroclinic chaotic behavior driven by a Brownian motion. Zbl 1290.34062
Shen, Jun; Lu, Kening; Zhang, Weinian
2013
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations. Zbl 1304.37034
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2013
Tempered random attractors for parabolic equations in weighted spaces. Zbl 1288.35097
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2013
Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence. Zbl 1291.37093
Li, Ji; Lu, Kening; Bates, Peter
2013
Study on the nonsingular problem of fractional-order terminal sliding mode control. Zbl 1299.93213
Li, Kening; Cao, Jianyong; Yu, Fan
2013
Compensated fractional derivatives and stochastic evolution equations. Zbl 1303.60054
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2012
Invariant manifolds for infinite dimensional random dynamical systems. Zbl 1283.37060
Lu, Kening; Schmalfuß, Björn
2012
Chaotic behavior in differential equations driven by a Brownian motion. Zbl 1231.34080
Lu, Kening; Wang, Qiudong
2011
An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050
Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G.
2011
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. Zbl 1200.37047
Lian, Zeng; Lu, Kening
2010
Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Zbl 1200.37075
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
2010
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Zbl 1186.37094
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
2010
Chaos in differential equations driven by a nonautonomous force. Zbl 1208.37024
Lu, Kening; Wang, Qiudong
2010
Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076
Li, K.; Huang, Q. B.; Miao, Y.
2010
Random attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1155.35112
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2009
Attractors for stochastic lattice dynamical systems with a multiplicative noise. Zbl 1155.60324
Caraballo, Tomás; Lu, Kening
2008
Approximately invariant manifolds and global dynamics of spike states. Zbl 1157.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2008
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
2008
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
2008
A Siegel theorem for dynamical systems under random perturbations. Zbl 1145.60317
Li, Weigu; Lu, Kening
2008
Rotation numbers for random dynamical systems on the circle. Zbl 1149.60042
Li, Weigu; Lu, Kening
2008
Thermocapillary convection in floating zones. Zbl 1145.76365
Hu, W. R.; Tang, Z. M.; Li, K.
2008
Invariant manifolds for stochastic wave equations. Zbl 1113.37056
Lu, Kening; Schmalfuß, Björn
2007
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
2006
Global attraction and stability for Cohen–Grossberg neural networks with delays. Zbl 1178.68437
Lu, Kening; Xu, Daoyi; Yang, Zhichun
2006
Sternberg theorems for random dynamical systems. Zbl 1075.37015
Li, Weigu; Lu, Kening
2005
Upper semicontinuity of attractors for the Klein-Gordon-Schrödinger equation. Zbl 1067.35109
Lu, Kening; Wang, Bixiang
2005
Poincaré theorems for random dynamical systems. Zbl 1098.37050
Li, Weigu; Lu, Kening
2005
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2003
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2001
Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains. Zbl 0979.35135
Lu, Kening; Wang, Bixiang
2001
Persistence of $$C^k$$ normally hyperbolic invariant manifolds for infinite dimensional dynamical systems. Zbl 1288.37028
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2001
Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066
Lu, Kening; Pan, Xing-Bin
2001
Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152
Lu, Kening; Pan, Xing-Bin
2000
Invariant foliations near normally hyperbolic invariant manifolds for semiflows. Zbl 0964.37018
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2000
Gauge invariant eigenvalue problems in $$\mathbb R^2$$ and in $$\mathbb R^2_{+}$$. Zbl 1053.35124
Lu, Kening; Pan, Xing-Bin
2000
A genetic algorithm for scheduling staff of mixed skills under multi-criteria. Zbl 0952.90007
Cai, X.; Li, K. N.
2000
Approximate normally hyperbolic invariant manifolds for semiflows. Zbl 0959.34036
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2000
Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174
Lu, Kening; Pan, Xing-Bin
1999
Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058
Lu, Kening; Pan, Xing-Bin
1999
Persistence of overflowing manifolds for semiflow. Zbl 0947.37009
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1999
Invariant foliations of overflowing manifolds for semiflows in Banach space. Zbl 0971.37015
Bates, Peter; Lu, Kening; Zeng, Chongchun
1999
Existence and persistence of invariant manifolds for semiflows in Banach space. Zbl 1023.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1998
The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108
Lu, Kening; Pan, Xingbin
1997
Normally hyperbolic invariant manifolds for semiflow in a Banach space. Zbl 0972.37016
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1997
Structural stability for time periodic parabolic equations. Zbl 0938.35078
Lu, Kening
1997
Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088
Lu, Kening; Pan, Xingbin
1996
Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1996
Floquet bundles for scalar parabolic equations. Zbl 0822.35057
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1995
Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044
Chow, Shui-Nee; Lu, Kening
1995
Floquet theory for parabolic differential equations. Zbl 0804.35045
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1994
A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations. Zbl 0795.35052
Bates, Peter W.; Lu, Kening
1994
Structural stability for scalar parabolic equations. Zbl 0810.35045
Lu, Kening
1994
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
1992
Smooth conjugacy of centre manifolds. Zbl 0745.34040
Burchard, Almut; Deng, Bo; Lu, Kening
1992
Normal form and linearization for quasiperiodic systems. Zbl 0761.58046
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1992
Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043
Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening
1991
A Hartman-Grobman theorem for scalar reaction-diffusion equations. Zbl 0767.35039
Lu, Kening
1991
Invariant manifolds for flows in Banach spaces. Zbl 0691.58034
Chow, Shui-Nee; Lu, Kening
1988
C$${}^ k$$ centre unstable manifolds. Zbl 0707.34039
Chow, Shui-Nee; Lu, Ke ning
1988
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Cited by 943 Authors

 58 Wang, Bixiang 54 Lu, Kening 53 Zhou, Shengfan 36 Li, Yangrong 25 Schmalfuß, Björn 24 Han, Xiaoying 23 Gu, Anhui 22 Caraballo Garrido, Tomás 22 Zhao, Caidi 20 Garrido-Atienza, María José 19 Kloeden, Peter Eris 18 Duan, Jinqiao 18 Wang, Xiaohu 17 Bates, Peter W. 17 Helffer, Bernard 17 Pan, Xingbin 17 Shen, Wenxian 16 Li, Dingshi 16 Wang, Renhai 15 Wang, Zhaojuan 15 Zhang, Weinian 14 Kachmar, Ayman 13 Fournais, Søren 13 Shu, Ji 13 Xu, Daoyi 12 Zhao, Huaizhong 12 Zhao, Wenqiang 11 Abdallah, Ahmed Y. 11 Dragičević, Davor 10 de la Llave, Rafael 10 Mierczyński, Janusz 10 Shen, Jun 10 Shi, Lin 10 Valero, José 9 Almog, Yaniv 9 You, Yuncheng 8 Huang, Jianhua 8 Langa, Jose’ Antonio 8 Li, Xiaojun 8 Lian, Zeng 8 Morillas, Francisco G. 8 Wang, Yejuan 8 Yang, Meihua 8 Zeng, Chongchun 7 Feng, Chunrong 7 Guo, Yanfeng 7 Wang, Yi 7 Yang, Shuang 7 Yin, Fuqi 7 Young, Lai-Sang 7 Zhao, Min 6 Barreira, Luis Manuel 6 Blömker, Dirk 6 Chueshov, Igor’ Dmitrievich 6 Li, Fuzhi 6 Liu, Xianming 6 Lv, Yan 6 Magal, Pierre 6 Poláčik, Peter 6 Valls Anglés, Cláudia 6 Wang, Wei 6 Yi, Yingfei 6 Zhao, Junyilang 5 Assaad, Wafaa 5 Bonfoh, Ahmed S. 5 Bonnaillie-Noël, Virginie 5 Chow, Shui-Nee 5 Cui, Hongyong 5 Ding, Xiaoquan 5 ElBialy, Mohamed Sami 5 Guo, Boling 5 Guo, Chunxiao 5 Li, Ji 5 Li, Jia 5 Liu, Linfang 5 Neamţu, Alexandra 5 Rezunenko, Oleksandr V”yacheslavovych 5 Xia, Yonghui 5 Xu, Liguang 5 Zeng, Caibin 5 Zhang, Jian 5 Zhang, Qiangheng 5 Zhang, Wenmeng 5 Zhang, Yijin 4 Bessaih, Hakima 4 Blumenthal, Alex 4 Brunovský, Pavol 4 Cao, Yongluo 4 Chen, Guanggan 4 Chen, Zhang 4 Ei, Shin-Ichiro 4 Fan, Xiaoming 4 Gidea, Marian 4 Huang, Zhehao 4 Jin, Jiayin 4 Li, Weigu 4 Li, Xiliang 4 Lin, Zhiwu 4 Liu, Weishi 4 Liu, Zhengrong ...and 843 more Authors
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Cited in 168 Serials

 145 Journal of Differential Equations 51 Journal of Dynamics and Differential Equations 51 Discrete and Continuous Dynamical Systems. Series B 45 Journal of Mathematical Analysis and Applications 43 Journal of Mathematical Physics 42 Discrete and Continuous Dynamical Systems 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Stochastics and Dynamics 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 Physica D 20 Communications on Pure and Applied Analysis 18 Applied Mathematics and Computation 18 Journal of Functional Analysis 17 Transactions of the American Mathematical Society 16 Abstract and Applied Analysis 15 Computers & Mathematics with Applications 15 Communications in Mathematical Physics 13 Journal of Difference Equations and Applications 10 Proceedings of the American Mathematical Society 9 Applicable Analysis 9 Nonlinearity 9 Advances in Difference Equations 9 Journal of Applied Analysis and Computation 8 Nonlinear Dynamics 8 Nonlinear Analysis. Real World Applications 7 Archive for Rational Mechanics and Analysis 7 Ergodic Theory and Dynamical Systems 7 Stochastic Analysis and Applications 7 Qualitative Theory of Dynamical Systems 7 SIAM Journal on Applied Dynamical Systems 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics Letters 6 Calculus of Variations and Partial Differential Equations 6 Discrete Dynamics in Nature and Society 6 Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications 5 Chaos, Solitons and Fractals 5 Advances in Mathematics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 SIAM Journal on Mathematical Analysis 5 Stochastic Processes and their Applications 5 Journal of Nonlinear Science 5 Journal of Inequalities and Applications 5 Acta Mathematica Sinica. English Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Statistical Physics 4 Journal of Computational and Applied Mathematics 4 Memoirs of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Japan Journal of Industrial and Applied Mathematics 4 Mathematical Problems in Engineering 4 Chaos 3 Journal of Computational Physics 3 Journal of Mathematical Biology 3 Letters in Mathematical Physics 3 Reviews in Mathematical Physics 3 Annales de l’Institut Fourier 3 Acta Applicandae Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications in Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Contemporary Mathematics 3 Annales Henri Poincaré 3 Journal of Evolution Equations 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Frontiers of Mathematics in China 3 International Journal of Differential Equations 3 Journal of Elliptic and Parabolic Equations 3 Electronic Research Archive 2 Communications on Pure and Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Applied Mathematics and Mechanics. (English Edition) 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Asymptotic Analysis 2 Journal of Integral Equations and Applications 2 Science in China. Series A 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bulletin des Sciences Mathématiques 2 Complexity 2 Differential Equations and Dynamical Systems 2 Taiwanese Journal of Mathematics 2 Fractional Calculus & Applied Analysis 2 Journal of Dynamical and Control Systems 2 Journal of Modern Dynamics 2 Nonlinear Analysis. Hybrid Systems 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Journal of Function Spaces 2 Open Mathematics 1 Computer Methods in Applied Mechanics and Engineering ...and 68 more Serials
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Cited in 36 Fields

 572 Dynamical systems and ergodic theory (37-XX) 534 Partial differential equations (35-XX) 277 Probability theory and stochastic processes (60-XX) 261 Ordinary differential equations (34-XX) 73 Statistical mechanics, structure of matter (82-XX) 66 Biology and other natural sciences (92-XX) 51 Operator theory (47-XX) 43 Fluid mechanics (76-XX) 35 Global analysis, analysis on manifolds (58-XX) 27 Difference and functional equations (39-XX) 24 Numerical analysis (65-XX) 24 Systems theory; control (93-XX) 23 Quantum theory (81-XX) 16 Real functions (26-XX) 16 Mechanics of particles and systems (70-XX) 14 Functional analysis (46-XX) 11 Mechanics of deformable solids (74-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Measure and integration (28-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)