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Lu, Kening

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Author ID: lu.kening Recent zbMATH articles by "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
all top 5

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

Publications by Year

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
188
2009
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
159
2006
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
131
2001
Invariant manifolds for flows in Banach spaces. Zbl 0691.58034
Chow, Shui-Nee; Lu, Kening
121
1988
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
109
2003
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
62
2004
Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043
Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening
60
1991
Existence and persistence of invariant manifolds for semiflows in Banach space. Zbl 1023.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
59
1998
Attractors for stochastic lattice dynamical systems with a multiplicative noise. Zbl 1155.60324
Caraballo, Tomás; Lu, Kening
58
2008
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. Zbl 1200.37047
Lian, Zeng; Lu, Kening
56
2010
Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113
Bates, Peter W.; Lu, Kening; Wang, Bixiang
52
2014
Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174
Lu, Kening; Pan, Xing-Bin
49
1999
Invariant manifolds for stochastic wave equations. Zbl 1113.37056
Lu, Kening; Schmalfuß, Björn
34
2007
Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058
Lu, Kening; Pan, Xing-Bin
33
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
33
2010
Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152
Lu, Kening; Pan, Xing-Bin
32
2000
A Hartman-Grobman theorem for scalar reaction-diffusion equations. Zbl 0767.35039
Lu, Kening
32
1991
Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1379.60074
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
32
2018
Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains. Zbl 0979.35135
Lu, Kening; Wang, Bixiang
31
2001
Sternberg theorems for random dynamical systems. Zbl 1075.37015
Li, Weigu; Lu, Kening
30
2005
Invariant foliations near normally hyperbolic invariant manifolds for semiflows. Zbl 0964.37018
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
29
2000
Approximately invariant manifolds and global dynamics of spike states. Zbl 1157.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
29
2008
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
29
1992
C\({}^ k\) centre unstable manifolds. Zbl 0707.34039
Chow, Shui-Nee; Lu, Ke ning
29
1988
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
26
2015
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
25
2010
Gauge invariant eigenvalue problems in \(\mathbb R^2\) and in \(\mathbb R^2_{+}\). Zbl 1053.35124
Lu, Kening; Pan, Xing-Bin
24
2000
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Zbl 1186.37094
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
22
2010
Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise. Zbl 1353.34101
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
22
2016
Heteroclinic chaotic behavior driven by a Brownian motion. Zbl 1290.34062
Shen, Jun; Lu, Kening; Zhang, Weinian
21
2013
Global attraction and stability for Cohen–Grossberg neural networks with delays. Zbl 1178.68437
Lu, Kening; Xu, Daoyi; Yang, Zhichun
21
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
21
2018
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations. Zbl 1304.37034
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
21
2013
Chaotic behavior in differential equations driven by a Brownian motion. Zbl 1231.34080
Lu, Kening; Wang, Qiudong
20
2011
A genetic algorithm for scheduling staff of mixed skills under multi-criteria. Zbl 0952.90007
Cai, X.; Li, K. N.
19
2000
Floquet theory for parabolic differential equations. Zbl 0804.35045
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
19
1994
Wong-Zakai approximations and long term behavior of stochastic partial differential equations. Zbl 1419.35261
Lu, Kening; Wang, Bixiang
19
2019
Persistence of overflowing manifolds for semiflow. Zbl 0947.37009
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
18
1999
Floquet bundles for scalar parabolic equations. Zbl 0822.35057
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
18
1995
Tempered random attractors for parabolic equations in weighted spaces. Zbl 1288.35097
Bates, Peter W.; Lu, Kening; Wang, Bixiang
18
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
17
2016
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
14
2008
A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations. Zbl 0795.35052
Bates, Peter W.; Lu, Kening
13
1994
Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations. Zbl 1408.35123
Gu, Anhui; Lu, Kening; Wang, Bixiang
13
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
12
2015
Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088
Lu, Kening; Pan, Xingbin
12
1996
Upper semicontinuity of attractors for the Klein-Gordon-Schrödinger equation. Zbl 1067.35109
Lu, Kening; Wang, Bixiang
11
2005
Wong-Zakai approximations and center manifolds of stochastic differential equations. Zbl 1373.60104
Shen, Jun; Lu, Kening
10
2017
Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence. Zbl 1291.37093
Li, Ji; Lu, Kening; Bates, Peter
10
2013
Structural stability for scalar parabolic equations. Zbl 0810.35045
Lu, Kening
9
1994
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
9
2008
Poincaré theorems for random dynamical systems. Zbl 1098.37050
Li, Weigu; Lu, Kening
9
2005
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces. Zbl 1362.37155
Lian, Zeng; Liu, Peidong; Lu, Kening
9
2016
Smooth conjugacy of centre manifolds. Zbl 0745.34040
Burchard, Almut; Deng, Bo; Lu, Kening
9
1992
Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains. Zbl 1414.35270
Shi, Lin; Wang, Renhai; Lu, Kening; Wang, Bixiang
9
2019
Chaos in differential equations driven by a nonautonomous force. Zbl 1208.37024
Lu, Kening; Wang, Qiudong
8
2010
Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044
Chow, Shui-Nee; Lu, Kening
8
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
8
2019
Equivalences between nonuniform exponential dichotomy and admissibility. Zbl 1356.34060
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
8
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.
8
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
8
2019
Invariant foliations for random dynamical systems. Zbl 1351.37215
Li, Ji; Lu, Kening; Bates, Peter W.
7
2014
Normal form and linearization for quasiperiodic systems. Zbl 0761.58046
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
6
1992
Entropy, chaos, and weak horseshoe for infinite-dimensional random dynamical systems. Zbl 1377.37110
Huang, Wen; Lu, Kening
6
2017
Compensated fractional derivatives and stochastic evolution equations. Zbl 1303.60054
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
6
2012
A Siegel theorem for dynamical systems under random perturbations. Zbl 1145.60317
Li, Weigu; Lu, Kening
5
2008
Rotation numbers for random dynamical systems on the circle. Zbl 1149.60042
Li, Weigu; Lu, Kening
5
2008
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
5
2014
A note on partially hyperbolic attractors: entropy conjecture and SRB measures. Zbl 1351.37138
Lu, Kening; Liu, Peidong
5
2015
Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076
Li, K.; Huang, Q. B.; Miao, Y.
4
2010
Thermocapillary convection in floating zones. Zbl 1145.76365
Hu, W. R.; Tang, Z. M.; Li, K.
4
2008
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces. Zbl 1335.60082
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
4
2015
Convergence and center manifolds for differential equations driven by colored noise. Zbl 1415.60069
Shen, Jun; Lu, Kening; Wang, Bixiang
4
2019
Geometric singular perturbation theory with real noise. Zbl 1332.34099
Li, Ji; Lu, Kening; Bates, Peter W.
4
2015
Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces. Zbl 1360.37091
Lu, Kening; Liu, Peidong; Lian, Zeng
4
2017
Differentiability of the conjugacy in the Hartman-Grobman theorem. Zbl 1362.37053
Zhang, Wenmeng; Lu, Kening; Zhang, Weinian
3
2017
Invariant foliations of overflowing manifolds for semiflows in Banach space. Zbl 0971.37015
Bates, Peter; Lu, Kening; Zeng, Chongchun
2
1999
Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
2
1996
The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108
Lu, Kening; Pan, Xingbin
2
1997
Persistence of \(C^k\) normally hyperbolic invariant manifolds for infinite dimensional dynamical systems. Zbl 1288.37028
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2
2001
Approximate normally hyperbolic invariant manifolds for semiflows. Zbl 0959.34036
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2
2000
Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066
Lu, Kening; Pan, Xing-Bin
2
2001
Invariant manifolds for infinite dimensional random dynamical systems. Zbl 1283.37060
Lu, Kening; Schmalfuß, Björn
2
2012
Normally hyperbolic invariant manifolds for semiflow in a Banach space. Zbl 0972.37016
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1
1997
Structural stability for time periodic parabolic equations. Zbl 0938.35078
Lu, Kening
1
1997
Takens theorem for random dynamical systems. Zbl 1368.37060
Lu, Kening; Li, Weigu
1
2016
Generalised particle filters with Gaussian mixtures. Zbl 1327.60096
Crisan, D.; Li, K.
1
2015
Study on the nonsingular problem of fractional-order terminal sliding mode control. Zbl 1299.93213
Li, Kening; Cao, Jianyong; Yu, Fan
1
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.
1
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.
1
2015
On the Oseledets-splitting for infinite-dimensional random dynamical systems. Zbl 1405.37055
Lu, Kening; Neamţu, Alexandra; Schmalfuss, Björn
1
2018
Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems. Zbl 1462.37086
Wang, Xiaohu; Shen, Jun; Lu, Kening; Wang, Bixiang
1
2021
Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems. Zbl 1462.37086
Wang, Xiaohu; Shen, Jun; Lu, Kening; Wang, Bixiang
1
2021
Wong-Zakai approximations and long term behavior of stochastic partial differential equations. Zbl 1419.35261
Lu, Kening; Wang, Bixiang
19
2019
Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations. Zbl 1408.35123
Gu, Anhui; Lu, Kening; Wang, Bixiang
13
2019
Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains. Zbl 1414.35270
Shi, Lin; Wang, Renhai; Lu, Kening; Wang, Bixiang
9
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
8
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
8
2019
Convergence and center manifolds for differential equations driven by colored noise. Zbl 1415.60069
Shen, Jun; Lu, Kening; Wang, Bixiang
4
2019
Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1379.60074
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
32
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
21
2018
On the Oseledets-splitting for infinite-dimensional random dynamical systems. Zbl 1405.37055
Lu, Kening; Neamţu, Alexandra; Schmalfuss, Björn
1
2018
Wong-Zakai approximations and center manifolds of stochastic differential equations. Zbl 1373.60104
Shen, Jun; Lu, Kening
10
2017
Equivalences between nonuniform exponential dichotomy and admissibility. Zbl 1356.34060
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
8
2017
Entropy, chaos, and weak horseshoe for infinite-dimensional random dynamical systems. Zbl 1377.37110
Huang, Wen; Lu, Kening
6
2017
Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces. Zbl 1360.37091
Lu, Kening; Liu, Peidong; Lian, Zeng
4
2017
Differentiability of the conjugacy in the Hartman-Grobman theorem. Zbl 1362.37053
Zhang, Wenmeng; Lu, Kening; Zhang, Weinian
3
2017
Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise. Zbl 1353.34101
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
22
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
17
2016
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces. Zbl 1362.37155
Lian, Zeng; Liu, Peidong; Lu, Kening
9
2016
Takens theorem for random dynamical systems. Zbl 1368.37060
Lu, Kening; Li, Weigu
1
2016
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
26
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
12
2015
A note on partially hyperbolic attractors: entropy conjecture and SRB measures. Zbl 1351.37138
Lu, Kening; Liu, Peidong
5
2015
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces. Zbl 1335.60082
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
4
2015
Geometric singular perturbation theory with real noise. Zbl 1332.34099
Li, Ji; Lu, Kening; Bates, Peter W.
4
2015
Generalised particle filters with Gaussian mixtures. Zbl 1327.60096
Crisan, D.; Li, K.
1
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.
1
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.
1
2015
Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113
Bates, Peter W.; Lu, Kening; Wang, Bixiang
52
2014
Invariant foliations for random dynamical systems. Zbl 1351.37215
Li, Ji; Lu, Kening; Bates, Peter W.
7
2014
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
5
2014
Heteroclinic chaotic behavior driven by a Brownian motion. Zbl 1290.34062
Shen, Jun; Lu, Kening; Zhang, Weinian
21
2013
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations. Zbl 1304.37034
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
21
2013
Tempered random attractors for parabolic equations in weighted spaces. Zbl 1288.35097
Bates, Peter W.; Lu, Kening; Wang, Bixiang
18
2013
Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence. Zbl 1291.37093
Li, Ji; Lu, Kening; Bates, Peter
10
2013
Study on the nonsingular problem of fractional-order terminal sliding mode control. Zbl 1299.93213
Li, Kening; Cao, Jianyong; Yu, Fan
1
2013
Compensated fractional derivatives and stochastic evolution equations. Zbl 1303.60054
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
6
2012
Invariant manifolds for infinite dimensional random dynamical systems. Zbl 1283.37060
Lu, Kening; Schmalfuß, Björn
2
2012
Chaotic behavior in differential equations driven by a Brownian motion. Zbl 1231.34080
Lu, Kening; Wang, Qiudong
20
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.
8
2011
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. Zbl 1200.37047
Lian, Zeng; Lu, Kening
56
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
33
2010
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
25
2010
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Zbl 1186.37094
Garrido-Atienza, María J.; Lu, Kening; Schmalfuß, Björn
22
2010
Chaos in differential equations driven by a nonautonomous force. Zbl 1208.37024
Lu, Kening; Wang, Qiudong
8
2010
Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems. Zbl 1244.76076
Li, K.; Huang, Q. B.; Miao, Y.
4
2010
Random attractors for stochastic reaction-diffusion equations on unbounded domains. Zbl 1155.35112
Bates, Peter W.; Lu, Kening; Wang, Bixiang
188
2009
Attractors for stochastic lattice dynamical systems with a multiplicative noise. Zbl 1155.60324
Caraballo, Tomás; Lu, Kening
58
2008
Approximately invariant manifolds and global dynamics of spike states. Zbl 1157.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
29
2008
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
14
2008
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
9
2008
A Siegel theorem for dynamical systems under random perturbations. Zbl 1145.60317
Li, Weigu; Lu, Kening
5
2008
Rotation numbers for random dynamical systems on the circle. Zbl 1149.60042
Li, Weigu; Lu, Kening
5
2008
Thermocapillary convection in floating zones. Zbl 1145.76365
Hu, W. R.; Tang, Z. M.; Li, K.
4
2008
Invariant manifolds for stochastic wave equations. Zbl 1113.37056
Lu, Kening; Schmalfuß, Björn
34
2007
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
159
2006
Global attraction and stability for Cohen–Grossberg neural networks with delays. Zbl 1178.68437
Lu, Kening; Xu, Daoyi; Yang, Zhichun
21
2006
Sternberg theorems for random dynamical systems. Zbl 1075.37015
Li, Weigu; Lu, Kening
30
2005
Upper semicontinuity of attractors for the Klein-Gordon-Schrödinger equation. Zbl 1067.35109
Lu, Kening; Wang, Bixiang
11
2005
Poincaré theorems for random dynamical systems. Zbl 1098.37050
Li, Weigu; Lu, Kening
9
2005
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
62
2004
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
109
2003
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
131
2001
Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains. Zbl 0979.35135
Lu, Kening; Wang, Bixiang
31
2001
Persistence of \(C^k\) normally hyperbolic invariant manifolds for infinite dimensional dynamical systems. Zbl 1288.37028
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2
2001
Ginzburg-Landau system and surface nucleation of superconductivity. Zbl 1016.35066
Lu, Kening; Pan, Xing-Bin
2
2001
Surface nucleation of superconductivity in 3-dimensions. Zbl 0972.35152
Lu, Kening; Pan, Xing-Bin
32
2000
Invariant foliations near normally hyperbolic invariant manifolds for semiflows. Zbl 0964.37018
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
29
2000
Gauge invariant eigenvalue problems in \(\mathbb R^2\) and in \(\mathbb R^2_{+}\). Zbl 1053.35124
Lu, Kening; Pan, Xing-Bin
24
2000
A genetic algorithm for scheduling staff of mixed skills under multi-criteria. Zbl 0952.90007
Cai, X.; Li, K. N.
19
2000
Approximate normally hyperbolic invariant manifolds for semiflows. Zbl 0959.34036
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
2
2000
Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity. Zbl 0934.35174
Lu, Kening; Pan, Xing-Bin
49
1999
Eigenvalue problems of Ginzburg-Landau operator in bounded domains. Zbl 0943.35058
Lu, Kening; Pan, Xing-Bin
33
1999
Persistence of overflowing manifolds for semiflow. Zbl 0947.37009
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
18
1999
Invariant foliations of overflowing manifolds for semiflows in Banach space. Zbl 0971.37015
Bates, Peter; Lu, Kening; Zeng, Chongchun
2
1999
Existence and persistence of invariant manifolds for semiflows in Banach space. Zbl 1023.37013
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
59
1998
The first eigenvalue of Ginzburg-Landau operator. Zbl 0935.35108
Lu, Kening; Pan, Xingbin
2
1997
Normally hyperbolic invariant manifolds for semiflow in a Banach space. Zbl 0972.37016
Bates, Peter W.; Lu, Kening; Zeng, Chongchun
1
1997
Structural stability for time periodic parabolic equations. Zbl 0938.35078
Lu, Kening
1
1997
Ginzburg-Landau equation with DeGennes boundary condition. Zbl 0873.35088
Lu, Kening; Pan, Xingbin
12
1996
Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
2
1996
Floquet bundles for scalar parabolic equations. Zbl 0822.35057
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
18
1995
Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044
Chow, Shui-Nee; Lu, Kening
8
1995
Floquet theory for parabolic differential equations. Zbl 0804.35045
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
19
1994
A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations. Zbl 0795.35052
Bates, Peter W.; Lu, Kening
13
1994
Structural stability for scalar parabolic equations. Zbl 0810.35045
Lu, Kening
9
1994
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
29
1992
Smooth conjugacy of centre manifolds. Zbl 0745.34040
Burchard, Almut; Deng, Bo; Lu, Kening
9
1992
Normal form and linearization for quasiperiodic systems. Zbl 0761.58046
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
6
1992
Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043
Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening
60
1991
A Hartman-Grobman theorem for scalar reaction-diffusion equations. Zbl 0767.35039
Lu, Kening
32
1991
Invariant manifolds for flows in Banach spaces. Zbl 0691.58034
Chow, Shui-Nee; Lu, Kening
121
1988
C\({}^ k\) centre unstable manifolds. Zbl 0707.34039
Chow, Shui-Nee; Lu, Ke ning
29
1988
all top 5

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
all top 5

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
all top 5

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)

Citations by Year