## Duan, Jinqiao

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 Author ID: duan.jinqiao Published as: Duan, Jinqiao; Duan, J.; Duan, Jin-qiao; Duan, Jinquiao; Duan, JinQiao more...less Homepage: http://mypages.iit.edu/~duan/ External Links: MGP · ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp
 Documents Indexed: 257 Publications since 1992, including 2 Books 3 Contributions as Editor Reviewing Activity: 3 Reviews Co-Authors: 184 Co-Authors with 252 Joint Publications 7,471 Co-Co-Authors
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### Co-Authors

 7 single-authored 22 Gao, Hongjun 16 Li, Xiaofan 13 Fu, Xinchu 13 Schmalfuß, Björn 11 Ervin, Vincent J. 10 Chen, Xiaoli 10 Kurths, Jürgen 10 Wang, Wei 9 Lv, Guangying 8 Gao, Ting 8 Qiao, Huijie 8 Sun, Xu 8 Zheng, Yayun 7 Brannan, James R. 6 Cao, Daomin 6 Chao, Ying 6 Chen, Xiaopeng 6 Cheng, Xiujun 6 Kan, Xingye 6 Liu, Xianming 6 Wang, Xiangjun 6 Wang, Xiao 6 Yan, Wei 6 Zhang, Yanjie 5 Cheban, David Nikolai 5 Kloeden, Peter Eris 5 Li, Desheng 5 Li, Dongfang 5 Li, Yang 5 Özgökmen, Tamay M. 5 Ren, Jian 5 Roberts, Anthony John 5 Yuan, Shenglan 4 Bongolan-Walsh, Vena Pearl 4 Fu, Hongbo 4 He, Ziying 4 Holmes, Philip J. 4 Song, Renming 4 Sun, Chunyou 4 Wang, Hui 4 Wei, Pingyuan 4 Wu, Fengyan 4 Xu, Wei 4 Yang, Fang 4 Yang, Meihua 3 Blömker, Dirk 3 Chen, Guanggan 3 Chen, Yong 3 Cheng, Zhuan 3 Du, Aijun 3 Fischer, Paul F. 3 Huang, Jianhua 3 Huang, Qiao 3 Iliescu, Traian 3 Li, Chujin 3 Li, Yongsheng 3 Lu, Kening 3 Lu, Yubin 3 Tesfay, Daniel 3 Titi, Edriss Saleh 3 Wang, Jintao 3 Wang, Ming 3 Wei, Jinlong 3 Zhang, Chengjian 3 Zhao, Caidi 2 Cai, Rui 2 Caraballo Garrido, Tomás 2 Chen, Huiqin 2 Chueshov, Igor’ Dmitrievich 2 Cui, Shangbin 2 Dai, Min 2 Denker, Manfred 2 Fu, Ling 2 Gherco, Anatoly 2 Guo, Yanfeng 2 Hao, Mengli 2 He, Guowei 2 He, Jinchun 2 Ju, Xuewei 2 Karniadakis, George Em 2 Li, Ji 2 Lin, Guoguang 2 Liu, Jicheng 2 Razoumov, Leonid 2 Schertzer, Daniel 2 Sun, Jianhua 2 Tesfay, Almaz 2 Tsiairis, Athanasios 2 Wan, Li 2 Wanner, Thomas 2 Wiggins, Stephen 2 Wu, Jianglun 2 Wu, Zhaoyan 2 Yang, Desheng 2 Yang, Lu 2 Zhang, Yanxia 2 Zulfiqar, Hina 1 Ashwin, Peter 1 Bai, Lu 1 Brune, Peter R. ...and 84 more Co-Authors
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### Serials

 17 Applied Mathematics and Computation 15 Chaos 14 Journal of Mathematical Physics 13 Journal of Mathematical Analysis and Applications 13 Stochastics and Dynamics 10 Physica D 9 Applied Mathematics Letters 9 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Differential Equations 6 Nonlinearity 6 Nonlinear Analysis. Real World Applications 6 Dynamical Systems 6 Journal of Statistical Mechanics: Theory and Experiment 5 Applied Mathematical Modelling 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Communications in Nonlinear Science and Numerical Simulation 4 Stochastic Analysis and Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Computers & Mathematics with Applications 3 SIAM Journal on Mathematical Analysis 3 Journal of Dynamics and Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Communications in Mathematical Sciences 2 Journal of Statistical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Communications on Applied Nonlinear Analysis 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Analysis and Applications (Singapore) 2 Interdisciplinary Mathematical Sciences 1 Advances in Applied Probability 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Journal of Mathematics. Wuhan University 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Bernoulli 1 Journal of Mathematical Fluid Mechanics 1 Annales Henri Poincaré 1 Advanced Nonlinear Studies 1 Stochastics 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Algorithms & Computational Technology 1 Science China. Mathematics 1 International Journal of Stochastic Analysis 1 Bulletin of Mathematical Sciences 1 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Nonlinear Analysis. Theory, Methods & Applications 1 Cambridge Texts in Applied Mathematics 1 Communications on Applied Mathematics and Computation
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### Fields

 143 Probability theory and stochastic processes (60-XX) 118 Partial differential equations (35-XX) 94 Dynamical systems and ergodic theory (37-XX) 47 Fluid mechanics (76-XX) 39 Ordinary differential equations (34-XX) 35 Geophysics (86-XX) 23 Numerical analysis (65-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Statistics (62-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

210 Publications have been cited 2,103 times in 1,270 Documents Cited by Year
Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2003
An introduction to stochastic dynamics. Zbl 1359.60003
Duan, Jinqiao
2015
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
2011
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
Effective dynamics of stochastic partial differential equations. Zbl 1298.60006
Duan, Jinqiao; Wang, Wei
2014
Large deviations for the Boussinesq equations under random influences. Zbl 1163.60315
Duan, Jinqiao; Millet, Annie
2009
Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070
Duan, Jinqiao; Holmes, Philip; Titi, Edriss S.
1992
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
2003
Fractional Fokker-Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises. Zbl 1006.60052
Schertzer, D.; Larchevêque, M.; Duan, J.; Yanovsky, V. V.; Lovejoy, S.
2001
Mean exit time and escape probability for dynamical systems driven by Lévy noises. Zbl 1318.60065
Gao, T.; Duan, J.; Li, X.; Song, R.
2014
Limit set of trajectories of the coupled viscous Burgers’ equations. Zbl 1076.35537
Nee, Janpou; Duan, J.
1998
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133
Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip
1993
Complex projective synchronization in coupled chaotic complex dynamical systems. Zbl 1253.93060
Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu
2012
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Zbl 1113.35133
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2006
On the Cauchy problem of a generalized Ginzburg-Landau equation. Zbl 0833.35067
Duan, Jinqiao; Holmes, Philip
1994
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations. Zbl 1429.65216
Cheng, Xiujun; Duan, Jinqiao; Li, Dongfang
2019
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2007
On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0890.35137
Gao, Hongjun; Duan, Jinqiao
1997
Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Zbl 1473.65097
Chen, Xiaoli; Di, Yana; Duan, Jinqiao; Li, Dongfang
2018
Stochastic averaging principle for dynamical systems with fractional Brownian motion. Zbl 1314.60122
Xu, Yong; Guo, Rong; Liu, Di; Zhang, Huiqing; Duan, Jinqiao
2014
Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise. Zbl 1202.35124
Yang, Meihua; Duan, Jinqiao; Kloeden, Peter
2011
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
Exponential stability of nonautonomous stochastic partial differential equations with finite memory. Zbl 1141.37030
Wan, Li; Duan, Jinqiao
2008
Non-autonomous wave dynamics with memory – asymptotic regularity and uniform attractors. Zbl 1170.35026
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2008
Approximation for random stable manifolds under multiplicative correlated noises. Zbl 1352.37188
Jiang, Tao; Liu, Xianming; Duan, Jinqiao
2016
A linear chaotic quantum harmonic oscillator. Zbl 0956.37057
Duan, J.; Fu, X.-C.; Liu, P.-D.; Manning, A.
1999
Zhao, Caidi; Duan, Jinqiao
2010
Asymptotics for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0952.35035
Gao, Hongjun; Lin, Guoguang; Duan, Jinqiao
2000
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation. Zbl 0820.58053
Duan, Jinqiao; Holmes, Philip
1995
Large deviations and approximations for slow-fast stochastic reaction-diffusion equations. Zbl 1256.35217
Wang, Wei; Roberts, A. J.; Duan, Jinqiao
2012
On the stochastic Kuramoto-Sivashinsky equation. Zbl 0976.60059
Duan, Jinqiao; Ervin, Vincent J.
2001
Impacts of noise on a class of partial differential equations. Zbl 1319.60143
Lv, Guangying; Duan, Jinqiao
2015
Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions. Zbl 1410.82017
Gao, Ting; Duan, Jinqiao; Li, Xiaofan
2016
Slow manifolds for multi-time-scale stochastic evolutionary systems. Zbl 1417.37267
Duan, Jinqiao; Fu, Hongbo; Liu, Xianming
2013
A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations. Zbl 1415.65202
Wu, Fengyan; Cheng, Xiujun; Li, Dongfang; Duan, Jinqiao
2018
An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053
Fu, Hongbo; Duan, Jinqiao
2011
An impact of noise on invariant manifolds in nonlinear dynamical systems. Zbl 1310.34096
Sun, Xu; Duan, Jinqiao; Li, Xiaofan
2010
Almost periodic solutions and global attractors of nonautonomous Navier-Stokes equations. Zbl 1088.35043
Cheban, David; Duan, Jinqiao
2004
Stochastic basins of attraction for metastable states. Zbl 1375.37146
Serdukova, Larissa; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen
2016
Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions. Zbl 1166.60038
Wang, Wei; Duan, Jinqiao
2009
Asymptotic behavior for a semilinear second order evolution equation. Zbl 1235.35046
Sun, Chunyou; Yang, Lu; Duan, Jinqiao
2011
Dynamics of a nonlocal Kuramoto-Sivashinsky equation. Zbl 0957.35114
Duan, Jinqiao; Ervin, Vincent J.
1998
Nonlinear filtering of stochastic dynamical systems with Lévy noises. Zbl 1326.60086
Qiao, Huijie; Duan, Jinqiao
2015
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026
Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J.
2000
Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises. Zbl 1338.65015
Wang, Xiao; Duan, Jinqiao; Li, Xiaofan; Luan, Yuanchao
2015
Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes. Zbl 1278.82045
Sun, Xu; Duan, Jinqiao
2012
A dynamical approximation for stochastic partial differential equations. Zbl 1152.81629
Wang, Wei; Duan, Jinqiao
2007
Dissipative quasi-geostrophic dynamics under random forcing. Zbl 0922.60054
Brannan, James R.; Duan, Jinqiao; Wanner, Thomas
1998
A stochastic pitchfork bifurcation in most probable phase portraits. Zbl 1388.34058
Wang, Hui; Chen, Xiaoli; Duan, Jinqiao
2018
Synchronization of systems of Marcus canonical equations driven by $$\alpha$$-stable noises. Zbl 1203.37124
Liu, Xianming; Duan, Jinqiao; Liu, Jicheng; Kloeden, Peter E.
2010
Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions. Zbl 1126.35112
Wang, Wei; Duan, Jinqiao
2007
Symbolic representations of iterated maps. Zbl 1021.37007
Fu, Xin-Chu; Lu, Weiping; Ashwin, Peter; Duan, Jinqiao
2001
Approximation of random slow manifolds and settling of inertial particles under uncertainty. Zbl 1356.37074
Ren, Jian; Duan, Jinqiao; Jones, Christopher K. R. T.
2015
Simulating stochastic inertial manifolds by a backward-forward approach. Zbl 1286.37055
Kan, Xingye; Duan, Jinqiao; Kevrekidis, Ioannis G.; Roberts, Anthony J.
2013
Dissipative quasi-geostrophic motion under temporally almost periodic forcing. Zbl 0951.76093
Duan, Jinqiao; Kloeden, Peter E.
1999
An impact of stochastic dynamic boundary conditions on the evolution of the Cahn-Hilliard system. Zbl 1124.60052
Yang, Desheng; Duan, Jinqiao
2007
Centre manifolds for stochastic evolution equations. Zbl 1325.60103
Chen, Xiaopeng; Roberts, Anthony; Duan, Jinqiao
2015
Asymmetric non-Gaussian effects in a tumor growth model with immunization. Zbl 1428.92049
Hao, Mengli; Duan, Jinqiao; Song, Renming; Xu, Wei
2014
Most probable dynamics of a genetic regulatory network under stable Lévy noise. Zbl 1428.92036
Chen, Xiaoli; Wu, Fengyan; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2019
Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition. Zbl 1316.60105
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2013
Random dynamics of the Boussinesq system with dynamical boundary conditions. Zbl 1179.60043
Brune, Peter; Duan, Jinqiao; Schmalfuß, Björn
2009
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains. Zbl 1125.60064
Wang, Wei; Cao, Daomin; Duan, Jinqiao
2007
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
Ergodicity of stochastically forced large scale geophysical flows. Zbl 1049.37004
Duan, Jinqiao; Goldys, Beniamin
2001
Slow foliation of a slow-fast stochastic evolutionary system. Zbl 1345.35142
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2014
On the shape Conley index theory of semiflows on complete metric spaces. Zbl 1341.37007
Wang, Jintao; Li, Desheng; Duan, Jinqiao
2016
Lévy noise induced transition and enhanced stability in a gene regulatory network. Zbl 1396.92026
Wu, Fengyan; Chen, Xiaoli; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2018
A Wong-Zakai approximation for random invariant manifolds. Zbl 1386.60220
Jiang, Tao; Liu, Xianming; Duan, Jinqiao
2017
Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises. Zbl 1218.60051
Liu, Xianming; Duan, Jinqiao; Liu, Jicheng; Kloeden, Peter E.
2010
The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation. Zbl 0861.35112
Duan, Jinqiao; Ly, Hung Van; Titi, Edriss S.
1996
Geometric shape of invariant manifolds for a class of stochastic partial differential equations. Zbl 1317.35302
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2011
Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals. Zbl 1375.60113
Lv, Guangying; Duan, Jinqiao
2017
Exponential stability of the quasigeostrophic equation under random perturbations. Zbl 0987.76027
Duan, Jinqiao; Kloeden, Peter E.; Schmalfuss, Björn
2001
The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise. Zbl 1431.86011
Zheng, Yayun; Yang, Fang; Duan, Jinqiao; Sun, Xu; Fu, Ling; Kurths, Jürgen
2020
Escape probability for stochastic dynamical systems with jumps. Zbl 1271.60070
Qiao, Huijie; Kan, Xingye; Duan, Jinqiao
2013
Stability and convergence of compact finite difference method for parabolic problems with delay. Zbl 1427.65194
Wu, Fengyan; Li, Dongfang; Wen, Jinming; Duan, Jinqiao
2018
Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise. Zbl 1390.92053
Wang, Hui; Cheng, Xiujun; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2018
Synchronization of an evolving complex hyper-network. Zbl 1427.34071
Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu
2014
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
2012
Escape probability, mean residence time and geophysical fluid particle dynamics. Zbl 1194.76241
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
1999
Exponential stability of the multi-layer quasi-geostrophic ocean model with delays. Zbl 1171.35447
Wan, Li; Duan, Jinqiao
2009
Global attractors and invariant measures for non-invertible planar piecewise isometric maps. Zbl 1209.37042
Fu, Xin-Chu; Duan, Jinqiao
2007
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2001
Behavioral synchronization induced by epidemic spread in complex networks. Zbl 1390.92149
Sun, Mengfeng; Lou, Yijun; Duan, Jinqiao; Fu, Xinchu
2017
Recurrent motions and global attractors of non-autonomous Lorenz systems. Zbl 1060.37016
Cheban, David; Duan, Jinqiao
2004
Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system. Zbl 1280.35102
Zhao, CaiDi; Duan, JinQiao
2013
Recurrent motions in the nonautonomous Navier-Stokes system. Zbl 1119.37335
Bongolan-Walsh, Vena Pearl; Cheban, David; Duan, Jinqiao
2003
State space decomposition for non-autonomous dynamical systems. Zbl 1263.37028
Chen, Xiaopeng; Duan, Jinqiao
2011
Bridging the Boussinesq and primitive equations through spatio-temporal filtering. Zbl 1187.35170
Duan, J.; Fischer, P.; Iliescu, T.; Özgökmen, T. M.
2010
Time-periodic quasigeostrophic motion under dissipation and forcing. Zbl 0935.76090
Duan, Jinqiao
1999
Escape probability and mean residence time in random flows with unsteady drift. Zbl 1008.76078
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
2001
Stochastic parameterization for large eddy simulation of geophysical flows. Zbl 1105.76033
2007
Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force. Zbl 1205.76280
Gao, Hongjun; Duan, Jinqiao
2003
On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132
Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun
2016
The Onsager-Machlup function as Lagrangian for the most probable path of a jump-diffusion process. Zbl 07102636
Chao, Ying; Duan, Jinqiao
2019
The Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1394.35380
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
2018
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396
He, Jinchun; Duan, Jinqiao; Gao, Hongjun
2015
Random dynamics of the stochastic Boussinesq equations driven by Lévy noises. Zbl 1279.60079
Huang, Jianhua; Li, Yuhong; Duan, Jinqiao
2013
Structure of the set of bounded solutions for a class of nonautonomous second-order differential equations. Zbl 1169.34031
Li, Desheng; Duan, Jinqiao
2009
Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise. Zbl 07526601
Huang, Qiao; Duan, Jinqiao; Song, Renming
2022
Stochastic regularization for transport equations. Zbl 1477.60103
Wei, Jinlong; Duan, Jinqiao; Gao, Hongjun; Lv, Guangying
2021
Solving inverse stochastic problems from discrete particle observations using the Fokker-Planck equation and physics-informed neural networks. Zbl 1480.35377
Chen, Xiaoli; Yang, Liu; Duan, Jinqiao; Karniadakis, George Em
2021
Stochastic bifurcation for two-time-scale dynamical system with $$\alpha$$-stable Lévy noise. Zbl 07330663
Yuan, Shenglan; Zeng, Zhigang; Duan, Jinqiao
2021
Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 07441294
Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em
2021
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986
Li, Yang; Duan, Jinqiao
2021
A logistic-harvest model with Allee effect under multiplicative noise. Zbl 1473.37107
Tesfay, Almaz; Tesfay, Daniel; Brannan, James; Duan, Jinqiao
2021
Effective filtering analysis for non-Gaussian dynamic systems. Zbl 1470.60172
Zhang, Yanjie; Qiao, Huijie; Duan, Jinqiao
2021
The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise. Zbl 1431.86011
Zheng, Yayun; Yang, Fang; Duan, Jinqiao; Sun, Xu; Fu, Ling; Kurths, Jürgen
2020
Recurrent solutions of a nonautonomous modified Swift-Hohenberg equation. Zbl 1460.37014
Wang, Jintao; Yang, Lu; Duan, Jinqiao
2020
Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise. Zbl 1456.37086
Lu, Yubin; Duan, Jinqiao
2020
An averaging principle for fractional stochastic differential equations with Lévy noise. Zbl 1445.35313
Xu, Wenjing; Duan, Jinqiao; Xu, Wei
2020
Numerical analysis and applications of Fokker-Planck equations for stochastic dynamical systems with multiplicative $$\alpha$$-stable noises. Zbl 1481.65027
Zhang, Yanjie; Wang, Xiao; Huang, Qiao; Duan, Jinqiao; Li, Tingting
2020
Transitions between metastable states in a simplified model for the thermohaline circulation under random fluctuations. Zbl 1433.82010
Tesfay, Daniel; Wei, Pingyuan; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen
2020
Detecting the maximum likelihood transition path from data of stochastic dynamical systems. Zbl 1457.37072
Dai, Min; Gao, Ting; Lu, Yubin; Zheng, Yayun; Duan, Jinqiao
2020
The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces. Zbl 1434.35171
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
2020
Mean escape time for randomly switching narrow gates in a steady flow. Zbl 1446.76153
Wang, Hui; Duan, Jinqiao; Geng, Xianguo; Chao, Ying
2020
Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations. Zbl 1450.37009
Li, Yang; Duan, Jinqiao; Liu, Xianbin; Zhang, Yanxia
2020
Nonlocal dynamics for non-Gaussian systems arising in biophysical modeling. Zbl 1463.92010
Chen, Xiaoli; Duan, Jinqiao
2020
Extracting non-Gaussian governing laws from data on mean exit time. Zbl 1456.37093
Zhang, Yanxia; Duan, Jinqiao; Jin, Yanfei; Li, Yang
2020
The role of slow manifolds in parameter estimation for a multiscale stochastic system with $$\alpha$$-stable Lévy noise. Zbl 1458.34106
Chao, Ying; Wei, Pingyuan; Duan, Jinqiao
2020
Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations. Zbl 1441.60038
Zhang, Yanjie; Wang, Xiao; Duan, Jinqiao
2020
Bifurcation in mean phase portraits for stochastic dynamical systems with multiplicative Gaussian noise. Zbl 1452.37059
Wang, Hui; Tsiairis, Athanasios; Duan, Jinqiao
2020
The tipping times in an arctic sea ice system under influence of extreme events. Zbl 1440.86011
Yang, Fang; Zheng, Yayun; Duan, Jinqiao; Fu, Ling; Wiggins, Stephen
2020
A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations. Zbl 1429.65216
Cheng, Xiujun; Duan, Jinqiao; Li, Dongfang
2019
Most probable dynamics of a genetic regulatory network under stable Lévy noise. Zbl 1428.92036
Chen, Xiaoli; Wu, Fengyan; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2019
The Onsager-Machlup function as Lagrangian for the most probable path of a jump-diffusion process. Zbl 07102636
Chao, Ying; Duan, Jinqiao
2019
Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269
Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao
2019
Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations. Zbl 1419.37015
Ju, Xuewei; Li, Desheng; Duan, Jinqiao
2019
Discovering mean residence time and escape probability from data of stochastic dynamical systems. Zbl 1423.37049
Wu, Dengfeng; Fu, Miaomiao; Duan, Jinqiao
2019
Effects of Lévy noise on the Fitzhugh-Nagumo model: a perspective on the maximal likely trajectories. Zbl 1420.92010
Cai, Rui; He, Ziying; Liu, Yancai; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2019
Centre manifolds for infinite dimensional random dynamical systems. Zbl 1415.37098
Chen, Xiaopeng; Roberts, Anthony J.; Duan, Jinqiao
2019
White noise driven Ostrovsky equation. Zbl 1420.35483
Yan, Wei; Yang, Meihua; Duan, Jinqiao
2019
Fokker-Planck equation driven by asymmetric Lévy motion. Zbl 1415.65201
Wang, Xiao; Shang, Wenpeng; Li, Xiaofan; Duan, Jinqiao; Huang, Yanghong
2019
A parameter estimator based on Smoluchowski-Kramers approximation. Zbl 1442.60062
He, Ziying; Duan, Jinqiao; Cheng, Xiujun
2019
Slow manifolds for a nonlocal fast-slow stochastic system with stable Lévy noise. Zbl 1426.37046
Zulfiqar, Hina; Yuan, Shenglan; He, Ziying; Duan, Jinqiao
2019
Hamiltonian systems with Lévy noise: symplecticity, Hamilton’s principle and averaging principle. Zbl 1453.60110
Wei, Pingyuan; Chao, Ying; Duan, Jinqiao
2019
Schauder estimates for stochastic transport-diffusion equations with Lévy processes. Zbl 07056482
Wei, Jinlong; Duan, Jinqiao; Lv, Guangying
2019
Stochastic nonlocal conservation laws on whole space. Zbl 1442.60066
Lv, Guangying; Duan, Jinqiao; Gao, Hongjun
2019
The influences of correlated spatially random perturbations on first passage time in a linear-cubic potential. Zbl 1425.34077
Li, Yongge; Xu, Yong; Kurths, Jürgen; Duan, Jinqiao
2019
Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Zbl 1473.65097
Chen, Xiaoli; Di, Yana; Duan, Jinqiao; Li, Dongfang
2018
A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations. Zbl 1415.65202
Wu, Fengyan; Cheng, Xiujun; Li, Dongfang; Duan, Jinqiao
2018
A stochastic pitchfork bifurcation in most probable phase portraits. Zbl 1388.34058
Wang, Hui; Chen, Xiaoli; Duan, Jinqiao
2018
Lévy noise induced transition and enhanced stability in a gene regulatory network. Zbl 1396.92026
Wu, Fengyan; Chen, Xiaoli; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2018
Stability and convergence of compact finite difference method for parabolic problems with delay. Zbl 1427.65194
Wu, Fengyan; Li, Dongfang; Wen, Jinming; Duan, Jinqiao
2018
Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise. Zbl 1390.92053
Wang, Hui; Cheng, Xiujun; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2018
The Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1394.35380
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
2018
A Newton linearized compact finite difference scheme for one class of Sobolev equations. Zbl 1407.65098
Chen, Xiaoli; Duan, Jinqiao; Li, Dongfang
2018
Long-time behavior of a class of nonlocal partial differential equations. Zbl 1395.35199
Zhang, Chang; Li, Fang; Duan, Jinqiao
2018
Effective filtering on a random slow manifold. Zbl 1394.60037
Qiao, Huijie; Zhang, Yanjie; Duan, Jinqiao
2018
Numerical algorithms for mean exit time and escape probability of stochastic systems with asymmetric Lévy motion. Zbl 1427.60085
Wang, Xiao; Duan, Jinqiao; Li, Xiaofan; Song, Renming
2018
Kinetic solutions for nonlocal scalar conservation laws. Zbl 1390.35179
Wei, Jinlong; Duan, Jinqiao; Lv, Guangying
2018
Global well-posedness of the stochastic generalized Kuramoto-Sivashinsky equation with multiplicative noise. Zbl 1396.35080
Wu, Wei; Cui, Shang-bin; Duan, Jin-qiao
2018
A Wong-Zakai approximation for random invariant manifolds. Zbl 1386.60220
Jiang, Tao; Liu, Xianming; Duan, Jinqiao
2017
Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals. Zbl 1375.60113
Lv, Guangying; Duan, Jinqiao
2017
Behavioral synchronization induced by epidemic spread in complex networks. Zbl 1390.92149
Sun, Mengfeng; Lou, Yijun; Duan, Jinqiao; Fu, Xinchu
2017
Existence and regularity of a linear nonlocal Fokker-Planck equation with growing drift. Zbl 1366.35230
Wang, Ming; Duan, Jinqiao
2017
Data assimilation and parameter estimation for a multiscale stochastic system with $$\alpha$$-stable Lévy noise. Zbl 1456.60093
Zhang, Yanjie; Cheng, Zhuan; Zhang, Xinyong; Chen, Xiaoli; Duan, Jinqiao; Li, Xiaofan
2017
Derivation of Fokker-Planck equations for stochastic systems under excitation of multiplicative non-Gaussian white noise. Zbl 1373.60116
Sun, Xu; Duan, Jinqiao; Li, Xiaofan; Liu, Hua; Wang, Xiangjun; Zheng, Yayun
2017
Lévy noise-induced escape in an excitable system. Zbl 1456.92029
Cai, Rui; Chen, Xiaoli; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan
2017
Slow manifold for a nonlocal stochastic evolutionary system with fast and slow components. Zbl 1432.35218
Bai, Lu; Cheng, Xiujun; Duan, Jinqiao; Yang, Meihua
2017
Approximation for random stable manifolds under multiplicative correlated noises. Zbl 1352.37188
Jiang, Tao; Liu, Xianming; Duan, Jinqiao
2016
Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions. Zbl 1410.82017
Gao, Ting; Duan, Jinqiao; Li, Xiaofan
2016
Stochastic basins of attraction for metastable states. Zbl 1375.37146
Serdukova, Larissa; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen
2016
On the shape Conley index theory of semiflows on complete metric spaces. Zbl 1341.37007
Wang, Jintao; Li, Desheng; Duan, Jinqiao
2016
On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132
Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun
2016
Dynamical inference for transitions in stochastic systems with $$\alpha$$-stable Lévy noise. Zbl 1346.82025
Gao, Ting; Duan, Jinqiao; Kan, Xingye; Cheng, Zhuan
2016
Stochastic modeling of nonlinear oscillators under combined Gaussian and Poisson white noise: a viewpoint based on the energy conservation law. Zbl 1354.34109
Sun, Xu; Duan, Jinqiao; Li, Xiaofan
2016
Stationary measures for stochastic differential equations with jumps. Zbl 1351.28027
Qiao, Huijie; Duan, Jinqiao
2016
Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation. Zbl 1354.60069
Guo, Yanfeng; Duan, Jinqiao; Li, Donglong
2016
Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability. Zbl 07249745
Gao, Ting; Duan, Jinqiao
2016
Smooth solution of a nonlocal Fokker-Planck equation associated with stochastic systems with Lévy noise. Zbl 1342.35398
Wang, Ming; Duan, Jinqiao
2016
Lyapunov exponents of stochastic differential equations driven by Lévy processes. Zbl 1339.60076
Qiao, Huijie; Duan, Jinqiao
2016
Approximation representation of parameterizing manifold and non-Markovian reduced systems for a stochastic Swift-Hohenberg equation. Zbl 1356.60102
Guo, Yanfeng; Duan, Jinqiao
2016
An introduction to stochastic dynamics. Zbl 1359.60003
Duan, Jinqiao
2015
Impacts of noise on a class of partial differential equations. Zbl 1319.60143
Lv, Guangying; Duan, Jinqiao
2015
Nonlinear filtering of stochastic dynamical systems with Lévy noises. Zbl 1326.60086
Qiao, Huijie; Duan, Jinqiao
2015
Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises. Zbl 1338.65015
Wang, Xiao; Duan, Jinqiao; Li, Xiaofan; Luan, Yuanchao
2015
Approximation of random slow manifolds and settling of inertial particles under uncertainty. Zbl 1356.37074
Ren, Jian; Duan, Jinqiao; Jones, Christopher K. R. T.
2015
Centre manifolds for stochastic evolution equations. Zbl 1325.60103
Chen, Xiaopeng; Roberts, Anthony; Duan, Jinqiao
2015
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396
He, Jinchun; Duan, Jinqiao; Gao, Hongjun
2015
Most probable dynamics of some nonlinear systems under noisy fluctuations. Zbl 07246163
Cheng, Zhuan; Duan, Jinqiao; Wang, Liang
2015
State estimation under non-Gaussian Lévy noise: a modified Kalman filtering method. Zbl 1320.93082
Sun, Xu; Duan, Jinqiao; Li, Xiaofan; Wang, Xiangjun
2015
Asymptotic methods for stochastic dynamical systems with small non-Gaussian Lévy noise. Zbl 1306.60078
Qiao, Huijie; Duan, Jinqiao
2015
A parameter estimation method based on random slow manifolds. Zbl 1443.37038
Ren, Jian; Duan, Jinqiao; Wang, Xiangjun
2015
Nonlocal elliptic equations involving measures. Zbl 1325.35263
Lv, Guangying; Duan, Jinqiao; He, Jinchun
2015
Effective dynamics of stochastic partial differential equations. Zbl 1298.60006
Duan, Jinqiao; Wang, Wei
2014
Mean exit time and escape probability for dynamical systems driven by Lévy noises. Zbl 1318.60065
Gao, T.; Duan, J.; Li, X.; Song, R.
2014
Stochastic averaging principle for dynamical systems with fractional Brownian motion. Zbl 1314.60122
Xu, Yong; Guo, Rong; Liu, Di; Zhang, Huiqing; Duan, Jinqiao
2014
Asymmetric non-Gaussian effects in a tumor growth model with immunization. Zbl 1428.92049
Hao, Mengli; Duan, Jinqiao; Song, Renming; Xu, Wei
2014
Slow foliation of a slow-fast stochastic evolutionary system. Zbl 1345.35142
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2014
Synchronization of an evolving complex hyper-network. Zbl 1427.34071
Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu
2014
Topological equivalence for discontinuous random dynamical systems and applications. Zbl 1296.60157
Qiao, Huijie; Duan, Jinqiao
2014
Ensemble averaging for dynamical systems under fast oscillating random boundary conditions. Zbl 1305.60055
Wang, Wei; Ren, Jian; Duan, Jinqiao; He, Guowei
2014
Slow manifolds for multi-time-scale stochastic evolutionary systems. Zbl 1417.37267
Duan, Jinqiao; Fu, Hongbo; Liu, Xianming
2013
Simulating stochastic inertial manifolds by a backward-forward approach. Zbl 1286.37055
Kan, Xingye; Duan, Jinqiao; Kevrekidis, Ioannis G.; Roberts, Anthony J.
2013
Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition. Zbl 1316.60105
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2013
Escape probability for stochastic dynamical systems with jumps. Zbl 1271.60070
Qiao, Huijie; Kan, Xingye; Duan, Jinqiao
2013
Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system. Zbl 1280.35102
Zhao, CaiDi; Duan, JinQiao
2013
Random dynamics of the stochastic Boussinesq equations driven by Lévy noises. Zbl 1279.60079
Huang, Jianhua; Li, Yuhong; Duan, Jinqiao
2013
...and 110 more Documents
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### Cited by 1,494 Authors

 132 Duan, Jinqiao 41 Wang, Bixiang 35 Gao, Hongjun 23 Xu, Yong 22 Lv, Guangying 21 Guo, Boling 19 Lu, Kening 19 Wu, Jianglun 18 Pei, Bin 18 Zhou, Shengfan 16 Schmalfuß, Björn 16 Wang, Wei 16 Wei, Jinlong 16 Xu, Wei 15 Fu, Xinchu 15 Sun, Chunyou 14 Li, Yangrong 14 Wang, Zhaojuan 13 Gu, Anhui 13 Kurths, Jürgen 13 Shu, Ji 12 Huang, Jianhua 12 Li, Dingshi 12 Li, Xiaofan 12 Liu, Jicheng 12 Liu, Xianming 12 Ma, Qiaozhen 12 Yang, Meihua 11 Blömker, Dirk 11 Qiao, Huijie 10 Zheng, Yayun 9 Guo, Zhongkai 9 Kloeden, Peter Eris 9 Sun, Xu 9 Wang, Jintao 9 Xie, Yongqin 9 Zhao, Huaizhong 8 Chen, Guanggan 8 Cheng, Xiujun 8 Fu, Hongbo 8 Li, Desheng 8 Lv, Yan 8 Roberts, Anthony John 8 Shen, Jun 8 Shi, Lin 8 Wang, Xiao 8 Wang, Xiaohu 8 Wang, Yejuan 8 Yang, Lu 8 Zeng, Caibin 7 Bu, Charles 7 Caraballo Garrido, Tomás 7 Chao, Ying 7 Choudhury, Sudipto Roy 7 Guo, Yanfeng 7 Liu, Wei 7 Mahmoud, Emad E. 7 Mancas, Stefan C. 7 Maroulas, Vasileios 7 Xie, Longjie 7 Yuan, Shenglan 7 Zhang, Jian 7 Zhao, Wenqiang 7 Zhu, Kaixuan 6 Bessaih, Hakima 6 Chen, Xiaoli 6 Chueshov, Igor’ Dmitrievich 6 Dybiec, Bartłomiej 6 He, Ziying 6 Kostić, Marko 6 Li, Chunqiu 6 Li, Dongfang 6 Li, Ji 6 Röckner, Michael 6 Shen, Guangjun 6 Shen, Wenxian 6 Sun, Xiaobin 6 Wei, Pingyuan 6 Wu, Fengyan 6 Yang, Desheng 6 You, Yuncheng 6 Zhai, Jianliang 6 Zhang, Chengjian 6 Zhang, Hongxia 6 Zhang, Yanjie 6 Zhao, Junyilang 6 Zhong, Chengkui 5 Brzeźniak, Zdzisław 5 Budhiraja, Amarjit S. 5 Chen, Xiaopeng 5 Dehghan Takht Fooladi, Mehdi 5 Deng, Weihua 5 Dokuchaev, Nikolai G. 5 Dupuis, Paul G. 5 Guo, Chunxiao 5 Li, Shihu 5 Li, Yang 5 Lu, Qishao 5 Lu, Shujuan 5 Millet, Annie ...and 1,394 more Authors
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### Cited in 233 Serials

 61 Journal of Mathematical Analysis and Applications 60 Journal of Differential Equations 55 Discrete and Continuous Dynamical Systems. Series B 52 Stochastics and Dynamics 50 Applied Mathematics and Computation 41 Journal of Mathematical Physics 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Chaos 27 Discrete and Continuous Dynamical Systems 24 Stochastic Analysis and Applications 24 Applied Mathematics Letters 24 Communications in Nonlinear Science and Numerical Simulation 23 Advances in Difference Equations 22 Chaos, Solitons and Fractals 22 Stochastic Processes and their Applications 21 Computers & Mathematics with Applications 21 Physica D 21 Nonlinear Dynamics 15 Journal of Dynamics and Differential Equations 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 Nonlinear Analysis. Real World Applications 13 Statistics & Probability Letters 12 Applicable Analysis 12 Physica A 12 Abstract and Applied Analysis 12 Communications on Pure and Applied Analysis 11 Journal of Computational Physics 11 Journal of Statistical Physics 11 Boundary Value Problems 10 Mathematical Methods in the Applied Sciences 10 Applied Mathematics and Optimization 9 Applied Numerical Mathematics 9 Journal of Statistical Mechanics: Theory and Experiment 9 AIMS Mathematics 8 Journal of Functional Analysis 8 Numerical Algorithms 8 Journal of Inequalities and Applications 8 SIAM Journal on Applied Dynamical Systems 7 Journal of Computational and Applied Mathematics 7 Transactions of the American Mathematical Society 7 Applied Mathematics and Mechanics. (English Edition) 7 SIAM Journal on Mathematical Analysis 7 Mathematical Problems in Engineering 7 Stochastics 6 Nonlinearity 6 Proceedings of the American Mathematical Society 6 Journal of Scientific Computing 6 International Journal of Computer Mathematics 6 Journal of Nonlinear Science 6 Complexity 6 Journal of Difference Equations and Applications 6 Acta Mathematica Sinica. English Series 6 Dynamical Systems 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Science China. Mathematics 5 Communications in Mathematical Physics 5 The Annals of Probability 5 Mathematics and Computers in Simulation 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematical Modelling 5 Potential Analysis 5 Filomat 5 Journal of Mathematical Fluid Mechanics 5 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Applied Analysis and Computation 5 Journal of Function Spaces 4 Indian Journal of Pure & Applied Mathematics 4 Journal of the Franklin Institute 4 SIAM Journal on Control and Optimization 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Topological Methods in Nonlinear Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Bulletin des Sciences Mathématiques 4 Bernoulli 4 Fractional Calculus & Applied Analysis 4 Discrete Dynamics in Nature and Society 4 Journal of Evolution Equations 4 Frontiers of Mathematics in China 4 Stochastic and Partial Differential Equations. Analysis and Computations 4 Electronic Research Archive 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Numerical Functional Analysis and Optimization 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Theoretical Probability 3 SIAM Journal on Scientific Computing 3 Computational and Applied Mathematics 3 Engineering Analysis with Boundary Elements 3 International Journal of Computational Fluid Dynamics 3 Differential Equations and Dynamical Systems 3 Taiwanese Journal of Mathematics 3 Advanced Nonlinear Studies 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Applied Mathematics and Computing 3 Advances in Mathematical Physics 3 Journal of Theoretical Biology 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 International Journal of Control 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal ...and 133 more Serials
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### Cited in 41 Fields

 674 Partial differential equations (35-XX) 600 Probability theory and stochastic processes (60-XX) 407 Dynamical systems and ergodic theory (37-XX) 194 Ordinary differential equations (34-XX) 184 Numerical analysis (65-XX) 107 Fluid mechanics (76-XX) 80 Systems theory; control (93-XX) 56 Biology and other natural sciences (92-XX) 51 Statistical mechanics, structure of matter (82-XX) 38 Real functions (26-XX) 37 Geophysics (86-XX) 36 Operator theory (47-XX) 27 Mechanics of particles and systems (70-XX) 27 Mechanics of deformable solids (74-XX) 19 Integral equations (45-XX) 18 Statistics (62-XX) 13 Functional analysis (46-XX) 10 Difference and functional equations (39-XX) 10 Information and communication theory, circuits (94-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Measure and integration (28-XX) 7 General topology (54-XX) 7 Optics, electromagnetic theory (78-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Computer science (68-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX)