Edit Profile (opens in new tab) Duan, Jinqiao Co-Author Distance 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: 354 Publications since 1992, including 2 Books and 47 Additional arXiv Preprints 4 Contributions as Editor Software Indexed: 1 Package Reviewing Activity: 6 Reviews Co-Authors: 231 Co-Authors with 349 Joint Publications 9,057 Co-Co-Authors all top 5 Co-Authors 9 single-authored 30 Gao, Hongjun 26 Li, Xiaofan 20 Gao, Ting 14 Chen, Xiaoli 14 Fu, Xinchu 13 Lv, Guangying 13 Schmalfuß, Björn 13 Yan, Wei 12 Wang, Wei 12 Zhang, Yanjie 11 Chao, Ying 11 Ervin, Vincent J. 11 Li, Yang 11 Wang, Xiao 11 Yang, Meihua 10 Kurths, Jürgen 10 Sun, Xu 9 Huang, Qiao 9 Qiao, Huijie 9 Wang, Xiangjun 8 Brannan, James R. 8 Hu, Jianyu 8 Lu, Yubin 8 Wei, Pingyuan 8 Yuan, Shenglan 8 Zheng, Yayun 7 Cheng, Xiujun 7 Huang, Jianhua 7 Liu, Xianming 7 Wang, Hui 6 Cao, Daomin 6 Chen, Shuang 6 Chen, Xiaopeng 6 Chen, Yong 6 He, Ziying 6 Kan, Xingye 6 Li, Dongfang 6 Lin, Li 6 Wang, Zibo 6 Wei, Jinlong 6 Wei, Wei 6 Zhan, Qingyi 6 Zhang, Ao 5 Cai, Rui 5 Cheban, David Nikolai 5 Dai, Min 5 Fu, Hongbo 5 Kloeden, Peter Eris 5 Li, Desheng 5 Li, Yongsheng 5 Liu, Xianbin 5 Özgökmen, Tamay M. 5 Ren, Jian 5 Roberts, Anthony John 5 Song, Renming 5 Wu, Fengyan 5 Xu, Wei 4 Bongolan-Walsh, Vena Pearl 4 Chen, Guanggan 4 Du, Aijun 4 He, Jinchun 4 Holmes, Philip J. 4 Huang, Yuanfei 4 Li, Yuhong 4 Sun, Chunyou 4 Xu, Shengyuan 4 Xu, Yong 4 Yang, Fang 4 Zhang, Jian 3 Blömker, Dirk 3 Cheng, Zhuan 3 Fischer, Paul F. 3 Guo, Jin 3 Iliescu, Traian 3 Li, Chujin 3 Liu, Yancai 3 Lu, Kening 3 Lv, Li 3 Tesfay, Daniel 3 Titi, Edriss Saleh 3 Wang, Jintao 3 Wang, Ming 3 Wen, Jianghui 3 Zhang, Chengjian 3 Zhang, Qi 3 Zhao, Caidi 3 Zulfiqar, Hina 2 Caraballo Garrido, Tomás 2 Chen, Huiqin 2 Chen, Jianyu 2 Chueshov, Igor’ Dmitrievich 2 Cui, Shangbin 2 Denker, Manfred 2 Fang, Cheng 2 Fu, Ling 2 Gherco, Anatoly 2 Guo, Yanfeng 2 Hao, Mengli 2 He, Guowei 2 Jiang, Tao ...and 131 more Co-Authors all top 5 Serials 29 Chaos 17 Applied Mathematics and Computation 16 Journal of Mathematical Physics 16 Physica D 16 Stochastics and Dynamics 14 Journal of Mathematical Analysis and Applications 10 Applied Mathematics Letters 9 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Differential Equations 7 Nonlinearity 6 Applied Mathematical Modelling 6 Nonlinear Analysis. Real World Applications 6 Dynamical Systems 6 Journal of Statistical Mechanics: Theory and Experiment 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 Journal of Dynamics and Differential Equations 4 Nonlinear Dynamics 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Computers & Mathematics with Applications 3 Physica A 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 SIAM Journal on Applied Dynamical Systems 3 Communications in Mathematical Sciences 2 Advances in Applied Probability 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 Stochastic Processes and their Applications 2 Journal of Nonlinear Science 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 Abstract and Applied Analysis 2 Analysis and Applications (Singapore) 2 Interdisciplinary Mathematical Sciences 2 The European Physical Journal B. Condensed Matter and Complex Systems 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Theory of Probability and its Applications 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 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 The Annals of Applied Probability 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Pure and Applied Functional Analysis 1 Cambridge Texts in Applied Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Fields 188 Probability theory and stochastic processes (60-XX) 140 Partial differential equations (35-XX) 118 Dynamical systems and ergodic theory (37-XX) 54 Ordinary differential equations (34-XX) 49 Fluid mechanics (76-XX) 36 Geophysics (86-XX) 30 Numerical analysis (65-XX) 22 Biology and other natural sciences (92-XX) 20 Statistical mechanics, structure of matter (82-XX) 10 Statistics (62-XX) 10 Computer science (68-XX) 10 Systems theory; control (93-XX) 7 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 262 Publications have been cited 3,312 times in 1,907 Documents Cited by ▼ Year ▼ An introduction to stochastic dynamics. Zbl 1359.60003 Duan, Jinqiao 178 2015 Invariant manifolds for stochastic partial differential equations. Zbl 1052.60048 Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn 163 2003 Effective dynamics of stochastic partial differential equations. Zbl 1298.60006 Duan, Jinqiao; Wang, Wei 128 2014 An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060 Xu, Yong; Duan, Jinqiao; Xu, Wei 114 2011 Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077 Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn 94 2004 Large deviations for the Boussinesq equations under random influences. Zbl 1163.60315 Duan, Jinqiao; Millet, Annie 76 2009 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. 65 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. 59 2014 Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Zbl 1113.35133 Sun, Chunyou; Cao, Daomin; Duan, Jinqiao 55 2006 Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070 Duan, Jinqiao; Holmes, Philip; Titi, Edriss S. 53 1992 The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302 Duan, Jinquiao; Schmalfuss, Björn 51 2003 Limit set of trajectories of the coupled viscous Burgers’ equations. Zbl 1076.35537 Nee, Janpou; Duan, J. 51 1998 Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133 Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip 49 1993 Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160 Sun, Chunyou; Cao, Daomin; Duan, Jinqiao 48 2007 Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094 Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn 46 2010 Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Zbl 1473.65097 Chen, Xiaoli; Di, Yana; Duan, Jinqiao; Li, Dongfang 44 2018 Complex projective synchronization in coupled chaotic complex dynamical systems. Zbl 1253.93060 Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu 43 2012 A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations. Zbl 1429.65216 Cheng, Xiujun; Duan, Jinqiao; Li, Dongfang 42 2019 Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise. Zbl 1202.35124 Yang, Meihua; Duan, Jinqiao; Kloeden, Peter 36 2011 On the Cauchy problem of a generalized Ginzburg-Landau equation. Zbl 0833.35067 Duan, Jinqiao; Holmes, Philip 33 1994 Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions. Zbl 1410.82017 Gao, Ting; Duan, Jinqiao; Li, Xiaofan 32 2016 Stochastic averaging principle for dynamical systems with fractional Brownian motion. Zbl 1314.60122 Xu, Yong; Guo, Rong; Liu, Di; Zhang, Huiqing; Duan, Jinqiao 31 2014 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 31 2021 Approximation for random stable manifolds under multiplicative correlated noises. Zbl 1352.37188 Jiang, Tao; Liu, Xianming; Duan, Jinqiao 30 2016 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 29 2018 Lévy noise-induced stochastic resonance in a bistable system. Zbl 1515.37049 Xu, Yong; Li, Juanjuan; Feng, Jing; Zhang, Huiqing; Xu, Wei; Duan, Jinqiao 28 2013 On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0890.35137 Gao, Hongjun; Duan, Jinqiao 28 1997 Asymptotics for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0952.35035 Gao, Hongjun; Lin, Guoguang; Duan, Jinqiao 25 2000 Large deviations and approximations for slow-fast stochastic reaction-diffusion equations. Zbl 1256.35217 Wang, Wei; Roberts, A. J.; Duan, Jinqiao 25 2012 Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003 Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn 24 2002 Exponential stability of nonautonomous stochastic partial differential equations with finite memory. Zbl 1141.37030 Wan, Li; Duan, Jinqiao 24 2008 Non-autonomous wave dynamics with memory – asymptotic regularity and uniform attractors. Zbl 1170.35026 Sun, Chunyou; Cao, Daomin; Duan, Jinqiao 24 2008 Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation. Zbl 0820.58053 Duan, Jinqiao; Holmes, Philip 23 1995 Asymptotic behavior for a semilinear second order evolution equation. Zbl 1235.35046 Sun, Chunyou; Yang, Lu; Duan, Jinqiao 23 2011 Nonlinear filtering of stochastic dynamical systems with Lévy noises. Zbl 1326.60086 Qiao, Huijie; Duan, Jinqiao 21 2015 An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053 Fu, Hongbo; Duan, Jinqiao 21 2011 A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986 Li, Yang; Duan, Jinqiao 21 2021 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 21 2019 Impacts of noise on a class of partial differential equations. Zbl 1319.60143 Lv, Guangying; Duan, Jinqiao 20 2015 A linear chaotic quantum harmonic oscillator. Zbl 0956.37057 Duan, J.; Fu, X.-C.; Liu, P.-D.; Manning, A. 20 1999 Random attractor for the Ladyzhenskaya model with additive noise. Zbl 1185.35347 Zhao, Caidi; Duan, Jinqiao 20 2010 On the stochastic Kuramoto-Sivashinsky equation. Zbl 0976.60059 Duan, Jinqiao; Ervin, Vincent J. 20 2001 Almost periodic solutions and global attractors of nonautonomous Navier-Stokes equations. Zbl 1088.35043 Cheban, David; Duan, Jinqiao 19 2004 Stochastic basins of attraction for metastable states. Zbl 1375.37146 Serdukova, Larissa; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen 19 2016 Slow manifolds for multi-time-scale stochastic evolutionary systems. Zbl 1417.37267 Duan, Jinqiao; Fu, Hongbo; Liu, Xianming 19 2013 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 19 2020 An impact of noise on invariant manifolds in nonlinear dynamical systems. Zbl 1310.34096 Sun, Xu; Duan, Jinqiao; Li, Xiaofan 18 2010 Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions. Zbl 1166.60038 Wang, Wei; Duan, Jinqiao 18 2009 Lévy noise-induced escape in an excitable system. Zbl 1456.92029 Cai, Rui; Chen, Xiaoli; Duan, Jinqiao; Kurths, Jürgen; Li, Xiaofan 18 2017 Most probable dynamics of some nonlinear systems under noisy fluctuations. Zbl 1489.37071 Cheng, Zhuan; Duan, Jinqiao; Wang, Liang 18 2015 A stochastic pitchfork bifurcation in most probable phase portraits. Zbl 1388.34058 Wang, Hui; Chen, Xiaoli; Duan, Jinqiao 17 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 17 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. 17 2010 Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions. Zbl 1126.35112 Wang, Wei; Duan, Jinqiao 17 2007 Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 1538.68040 Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em 17 2021 Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026 Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J. 16 2000 Dynamics of a nonlocal Kuramoto-Sivashinsky equation. Zbl 0957.35114 Duan, Jinqiao; Ervin, Vincent J. 16 1998 The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation. Zbl 0861.35112 Duan, Jinqiao; Ly, Hung Van; Titi, Edriss S. 16 1996 A Wong-Zakai approximation for random invariant manifolds. Zbl 1386.60220 Jiang, Tao; Liu, Xianming; Duan, Jinqiao 15 2017 Centre manifolds for stochastic evolution equations. Zbl 1325.60103 Chen, Xiaopeng; Roberts, Anthony; Duan, Jinqiao 15 2015 Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes. Zbl 1278.82045 Sun, Xu; Duan, Jinqiao 15 2012 Most probable transition pathways and maximal likely trajectories in a genetic regulatory system. Zbl 07569470 Cheng, Xiujun; Wang, Hui; Wang, Xiao; Duan, Jinqiao; Li, Xiaofan 15 2019 The Onsager-Machlup function as Lagrangian for the most probable path of a jump-diffusion process. Zbl 1488.60088 Chao, Ying; Duan, Jinqiao 15 2019 On the shape Conley index theory of semiflows on complete metric spaces. Zbl 1341.37007 Wang, Jintao; Li, Desheng; Duan, Jinqiao 14 2016 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 14 2015 Symbolic representations of iterated maps. Zbl 1021.37007 Fu, Xin-Chu; Lu, Weiping; Ashwin, Peter; Duan, Jinqiao 14 2001 Dissipative quasi-geostrophic dynamics under random forcing. Zbl 0922.60054 Brannan, James R.; Duan, Jinqiao; Wanner, Thomas 14 1998 Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition. Zbl 1316.60105 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 14 2013 An averaging principle for fractional stochastic differential equations with Lévy noise. Zbl 1445.35313 Xu, Wenjing; Duan, Jinqiao; Xu, Wei 14 2020 Asymmetric non-Gaussian effects in a tumor growth model with immunization. Zbl 1428.92049 Hao, Mengli; Duan, Jinqiao; Song, Renming; Xu, Wei 13 2014 A dynamical approximation for stochastic partial differential equations. Zbl 1152.81629 Wang, Wei; Duan, Jinqiao 13 2007 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 12 2020 The Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1394.35380 Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao 12 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 11 2018 Effective macroscopic dynamics of stochastic partial differential equations in perforated domains. Zbl 1125.60064 Wang, Wei; Cao, Daomin; Duan, Jinqiao 11 2007 Global well-posedness of the stochastic Camassa-Holm equation. Zbl 1479.35967 Chen, Yong; Duan, Jinqiao; Gao, Hongjun 11 2021 Stability and convergence of compact finite difference method for parabolic problems with delay. Zbl 1427.65194 Wu, Fengyan; Li, Dongfang; Wen, Jinming; Duan, Jinqiao 11 2018 Geometric shape of invariant manifolds for a class of stochastic partial differential equations. Zbl 1317.35302 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 10 2011 A Newton linearized compact finite difference scheme for one class of Sobolev equations. Zbl 1407.65098 Chen, Xiaoli; Duan, Jinqiao; Li, Dongfang 10 2018 Ergodicity of stochastically forced large scale geophysical flows. Zbl 1049.37004 Duan, Jinqiao; Goldys, Beniamin 10 2001 Dissipative quasi-geostrophic motion under temporally almost periodic forcing. Zbl 0951.76093 Duan, Jinqiao; Kloeden, Peter E. 10 1999 Synchronization of an evolving complex hyper-network. Zbl 1427.34071 Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu 10 2014 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 10 2020 Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise. Zbl 1456.37086 Lu, Yubin; Duan, Jinqiao 10 2020 An impact of stochastic dynamic boundary conditions on the evolution of the Cahn-Hilliard system. Zbl 1124.60052 Yang, Desheng; Duan, Jinqiao 10 2007 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 10 2020 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 10 2019 Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054 Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn 9 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. 9 2015 Random dynamics of the Boussinesq system with dynamical boundary conditions. Zbl 1179.60043 Brune, Peter; Duan, Jinqiao; Schmalfuß, Björn 9 2009 Slow foliation of a slow-fast stochastic evolutionary system. Zbl 1345.35142 Chen, Guanggan; Duan, Jinqiao; Zhang, Jian 9 2014 Simulating stochastic inertial manifolds by a backward-forward approach. Zbl 1286.37055 Kan, Xingye; Duan, Jinqiao; Kevrekidis, Ioannis G.; Roberts, Anthony J. 9 2013 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 9 2017 Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability. Zbl 1510.62126 Gao, Ting; Duan, Jinqiao 9 2016 Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations. Zbl 1450.37009 Li, Yang; Duan, Jinqiao; Liu, Xianbin; Zhang, Yanxia 9 2020 Escape probability for stochastic dynamical systems with jumps. Zbl 1271.60070 Qiao, Huijie; Kan, Xingye; Duan, Jinqiao 9 2013 Extracting governing laws from sample path data of non-Gaussian stochastic dynamical systems. Zbl 1490.60114 Li, Yang; Duan, Jinqiao 9 2022 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 9 2020 Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals. Zbl 1375.60113 Lv, Guangying; Duan, Jinqiao 8 2017 Exponential stability of the quasigeostrophic equation under random perturbations. Zbl 0987.76027 Duan, Jinqiao; Kloeden, Peter E.; Schmalfuss, Björn 8 2001 Symplectic numerical integration for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus. Zbl 1540.65028 Zhan, Qingyi; Duan, Jinqiao; Li, Xiaofan; Li, Yuhong 1 2024 Weak averaging principle for multiscale stochastic dynamical systems driven by stable processes. Zbl 07791827 Zhang, Yanjie; Huang, Qiao; Wang, Xiao; Wang, Zibo; Duan, Jinqiao 1 2024 Homogenization of non-Symmetric jump processes. Zbl 1533.35018 Huang, Qiao; Duan, Jinqiao; Song, Renming 1 2024 Modulation analysis of the stochastic Camassa-Holm equation with pure jump noise. Zbl 07846491 Chen, Yong; Duan, Jinqiao; Gao, Hongjun; Guo, Xingyu 1 2024 Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system. Zbl 1522.60054 Chen, Yong; Duan, Jinqiao; Gao, Hongjun 5 2023 Neural network stochastic differential equation models with applications to financial data forecasting. Zbl 07666006 Yang, Luxuan; Gao, Ting; Lu, Yubin; Duan, Jinqiao; Liu, Tao 5 2023 Data-driven method to learn the most probable transition pathway and stochastic differential equation. Zbl 1504.60107 Chen, Xiaoli; Duan, Jinqiao; Hu, Jianyu; Li, Dongfang 5 2023 Detecting stochastic governing laws with observation on stationary distributions. Zbl 1509.60112 Chen, Xiaoli; Wang, Hui; Duan, Jinqiao 2 2023 Reservoir computing with error correction: long-term behaviors of stochastic dynamical systems. Zbl 07767803 Fang, Cheng; Lu, Yubin; Gao, Ting; Duan, Jinqiao 2 2023 Model-based reinforcement learning with non-Gaussian environment dynamics and its application to portfolio optimization. Zbl 1537.91283 Huang, Huifang; Gao, Ting; Li, Pengbo; Guo, Jin; Zhang, Peng; Du, Nan; Duan, Jinqiao 2 2023 Perturbation of the spectra for asymptotically constant differential operators and applications. Zbl 1514.35031 Chen, Shuang; Duan, Jinqiao 1 2023 Nonparametric inference of stochastic differential equations based on the relative entropy rate. Zbl 1533.60039 Dai, Min; Duan, Jinqiao; Hu, Jianyu; Wang, Xiangjun 1 2023 Stochastic dynamics of human papillomavirus delineates cervical cancer progression. Zbl 07782536 Phan, Tuan Anh; Sarower, Farhana; Duan, Jinqiao; Tian, Jianjun Paul 1 2023 Homogenization of dissipative Hamiltonian systems under Lévy fluctuations. Zbl 1509.37059 Wang, Zibo; Lv, Li; Duan, Jinqiao 1 2023 Analysis of multiscale methods for stochastic dynamical systems driven by \(\alpha\)-stable processes. Zbl 1524.60139 Zhang, Yanjie; Wang, Xiao; Wang, Zibo; Duan, Jinqiao 1 2023 Extracting governing laws from sample path data of non-Gaussian stochastic dynamical systems. Zbl 1490.60114 Li, Yang; Duan, Jinqiao 9 2022 An end-to-end deep learning approach for extracting stochastic dynamical systems with \(\alpha\)-stable Lévy noise. Zbl 1540.60155 Fang, Cheng; Lu, Yubin; Gao, Ting; Duan, Jinqiao 7 2022 Stochastic turbulence for Burgers equation driven by cylindrical Lévy process. Zbl 1490.76112 Yuan, Shenglan; Blömker, Dirk; Duan, Jinqiao 6 2022 Extracting stochastic dynamical systems with \(\alpha\)-stable Lévy noise from data. Zbl 1539.62091 Li, Yang; Lu, Yubin; Xu, Shengyuan; Duan, Jinqiao 6 2022 Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation. Zbl 1501.37018 Wang, Jintao; Li, Desheng; Duan, Jinqiao 5 2022 Learning the temporal evolution of multivariate densities via normalizing flows. Zbl 07870007 Lu, Yubin; Maulik, Romit; Gao, Ting; Dietrich, Felix; Kevrekidis, Ioannis G.; Duan, Jinqiao 5 2022 An optimal control method to compute the most likely transition path for stochastic dynamical systems with jumps. Zbl 1540.60157 Wei, Wei; Gao, Ting; Chen, Xiaoli; Duan, Jinqiao 5 2022 Instability of small-amplitude periodic waves from fold-Hopf bifurcation. Zbl 1508.37101 Chen, Shuang; Duan, Jinqiao 4 2022 Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise. Zbl 1504.60100 Huang, Qiao; Duan, Jinqiao; Song, Renming 4 2022 A machine learning method for computing quasi-potential of stochastic dynamical systems. Zbl 1519.37046 Li, Yang; Xu, Shengyuan; Duan, Jinqiao; Liu, Xianbin; Chu, Yuming 3 2022 Total value adjustment of Bermudan option valuation under pure jump Lévy fluctuations. Zbl 07870664 Yuan, Gangnan; Ding, Deng; Duan, Jinqiao; Lu, Weiguo; Wu, Fengyan 3 2022 An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network. Zbl 1540.92053 Hu, Jianyu; Chen, Xiaoli; Duan, Jinqiao 2 2022 Variational inference of the drift function for stochastic differential equations driven by Lévy processes. Zbl 1540.60108 Dai, Min; Duan, Jinqiao; Hu, Jianyu; Wen, Jianghui; Wang, Xiangjun 2 2022 Convergence problem of Ostrovsky equation with rough data and random data. Zbl 1504.42072 Yan, Wei; Zhang, Qiaoqiao; Duan, Jinqiao; Yang, Meihua 1 2022 A data-driven approach for discovering the most probable transition pathway for a stochastic carbon cycle system. Zbl 07879644 Chen, Jianyu; Hu, Jianyu; Wei, Wei; Duan, Jinqiao 1 2022 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 31 2021 A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986 Li, Yang; Duan, Jinqiao 21 2021 Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 1538.68040 Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em 17 2021 Global well-posedness of the stochastic Camassa-Holm equation. Zbl 1479.35967 Chen, Yong; Duan, Jinqiao; Gao, Hongjun 11 2021 Wave-breaking and moderate deviations of the stochastic Camassa-Holm equation with pure jump noise. Zbl 1489.60109 Chen, Yong; Duan, Jinqiao; Gao, Hongjun 8 2021 Stochastic regularization for transport equations. Zbl 1477.60103 Wei, Jinlong; Duan, Jinqiao; Gao, Hongjun; Lv, Guangying 7 2021 A logistic-harvest model with Allee effect under multiplicative noise. Zbl 1473.37107 Tesfay, Almaz; Tesfay, Daniel; Brannan, James; Duan, Jinqiao 6 2021 Stochastic bifurcation for two-time-scale dynamical system with \(\alpha \)-stable Lévy noise. Zbl 1504.34145 Yuan, Shenglan; Zeng, Zhigang; Duan, Jinqiao 5 2021 Linear response theory for nonlinear stochastic differential equations with \(\alpha\)-stable Lévy noises. Zbl 1457.60093 Zhang, Qi; Duan, Jinqiao 3 2021 Effective filtering analysis for non-Gaussian dynamic systems. Zbl 1470.60172 Zhang, Yanjie; Qiao, Huijie; Duan, Jinqiao 3 2021 Effective reduction of a three-dimensional circadian oscillator model. Zbl 1480.34059 Chen, Shuang; Duan, Jinqiao; Li, Ji 3 2021 On the abrupt change of the maximum likelihood state in a simplified stochastic thermohaline circulation system. Zbl 1458.86007 Yang, Fang; Sun, Xu; Duan, Jinqiao 2 2021 Dynamical behavior of a nonlocal Fokker-Planck equation for a stochastic system with tempered stable noise. Zbl 1462.37060 Lin, Li; Duan, Jinqiao; Wang, Xiao; Zhang, Yanjie 2 2021 Dynamics of the Tyson-Hong-Thron-Novak circadian oscillator model. Zbl 1494.34122 Chen, Shuang; Duan, Jinqiao; Li, Ji 2 2021 Estimating the most probable transition time for stochastic dynamical systems. Zbl 1484.60061 Huang, Yuanfei; Chao, Ying; Wei, Wei; Duan, Jinqiao 2 2021 Slow manifold and parameter estimation for a nonlocal fast-slow dynamical system with Brownian motion. Zbl 1513.35553 Zulfiqar, Hina; He, Ziying; Yang, Meihua; Duan, Jinqiao 2 2021 Quantifying model uncertainty for the observed non-Gaussian data by the Hellinger distance. Zbl 1461.62166 Zheng, Yayun; Yang, Fang; Duan, Jinqiao; Kurths, Jürgen 1 2021 Stochastic bifurcation in single-species model induced by \(\alpha\)-stable Lévy noise. Zbl 1539.92058 Tesfay, Almaz; Tesfay, Daniel; Yuan, Shenglan; Brannan, James; Duan, Jinqiao 1 2021 Maximum likelihood estimation of stochastic differential equations with random effects driven by fractional Brownian motion. Zbl 1508.62062 Dai, Min; Duan, Jinqiao; Liao, Junjun; Wang, Xiangjun 1 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 19 2020 An averaging principle for fractional stochastic differential equations with Lévy noise. Zbl 1445.35313 Xu, Wenjing; Duan, Jinqiao; Xu, Wei 14 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 12 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 10 2020 Discovering transition phenomena from data of stochastic dynamical systems with Lévy noise. Zbl 1456.37086 Lu, Yubin; Duan, Jinqiao 10 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 10 2020 Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations. Zbl 1450.37009 Li, Yang; Duan, Jinqiao; Liu, Xianbin; Zhang, Yanxia 9 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 9 2020 Recurrent solutions of a nonautonomous modified Swift-Hohenberg equation. Zbl 1460.37014 Wang, Jintao; Yang, Lu; Duan, Jinqiao 7 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 6 2020 Mean escape time for randomly switching narrow gates in a steady flow. Zbl 1446.76153 Wang, Hui; Duan, Jinqiao; Geng, Xianguo; Chao, Ying 5 2020 Extracting non-Gaussian governing laws from data on mean exit time. Zbl 1456.37093 Zhang, Yanxia; Duan, Jinqiao; Jin, Yanfei; Li, Yang 5 2020 Gevrey semigroup generated by \(- (\Lambda^\alpha + b \cdot \nabla)\) in \(L^p(\mathbb{R}^n)\). Zbl 1458.35460 Wang, Ming; Ma, Qingxia; Duan, Jinqiao 4 2020 Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations. Zbl 1441.60038 Zhang, Yanjie; Wang, Xiao; Duan, Jinqiao 3 2020 Bifurcation in mean phase portraits for stochastic dynamical systems with multiplicative Gaussian noise. Zbl 1452.37059 Wang, Hui; Tsiairis, Athanasios; Duan, Jinqiao 3 2020 State transitions in the Morris-Lecar model under stable Lévy noise. Zbl 1516.92008 Cai, Rui; Liu, Yancai; Duan, Jinqiao; Abebe, Almaz Tesfay 2 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 2 2020 Nonlocal dynamics for non-Gaussian systems arising in biophysical modeling. Zbl 1463.92010 Chen, Xiaoli; Duan, Jinqiao 1 2020 Global solution and blow-up of the stochastic nonlinear Schrödinger system. Zbl 1452.81109 Zhang, Qi; Duan, Jinqiao; Chen, Yong 1 2020 Effective wave factorization for a stochastic Schrödinger equation. Zbl 1490.35463 Zhang, Ao; Duan, Jinqiao 1 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 42 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 21 2019 Most probable transition pathways and maximal likely trajectories in a genetic regulatory system. Zbl 07569470 Cheng, Xiujun; Wang, Hui; Wang, Xiao; Duan, Jinqiao; Li, Xiaofan 15 2019 The Onsager-Machlup function as Lagrangian for the most probable path of a jump-diffusion process. Zbl 1488.60088 Chao, Ying; Duan, Jinqiao 15 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 10 2019 Discovering mean residence time and escape probability from data of stochastic dynamical systems. Zbl 1423.37049 Wu, Dengfeng; Fu, Miaomiao; Duan, Jinqiao 8 2019 Hamiltonian systems with Lévy noise: symplecticity, Hamilton’s principle and averaging principle. Zbl 1453.60110 Wei, Pingyuan; Chao, Ying; Duan, Jinqiao 7 2019 Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269 Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao 7 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 6 2019 Centre manifolds for infinite dimensional random dynamical systems. Zbl 1415.37098 Chen, Xiaopeng; Roberts, Anthony J.; Duan, Jinqiao 5 2019 Fokker-Planck equation driven by asymmetric Lévy motion. Zbl 1415.65201 Wang, Xiao; Shang, Wenpeng; Li, Xiaofan; Duan, Jinqiao; Huang, Yanghong 5 2019 A parameter estimator based on Smoluchowski-Kramers approximation. Zbl 1442.60062 He, Ziying; Duan, Jinqiao; Cheng, Xiujun 4 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 4 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 4 2019 White noise driven Ostrovsky equation. Zbl 1420.35483 Yan, Wei; Yang, Meihua; Duan, Jinqiao 4 2019 Maximum principles for nonlocal parabolic Waldenfels operators. Zbl 1467.35073 Huang, Qiao; Duan, Jinqiao; Wu, Jiang-Lun 3 2019 Lévy noise induced escape in the Morris-Lecar model. Zbl 07569474 Liu, Yancai; Cai, Rui; Duan, Jinqiao 3 2019 Schauder estimates for stochastic transport-diffusion equations with Lévy processes. Zbl 1516.35138 Wei, Jinlong; Duan, Jinqiao; Lv, Guangying 2 2019 Stochastic nonlocal conservation laws on whole space. Zbl 1442.60066 Lv, Guangying; Duan, Jinqiao; Gao, Hongjun 1 2019 Target search of a protein on DNA in the presence of position-dependent bias. Zbl 1536.92081 Chen, Xi; Cheng, Xiujun; Kang, Yanmei; Duan, Jinqiao 1 2019 Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Zbl 1473.65097 Chen, Xiaoli; Di, Yana; Duan, Jinqiao; Li, Dongfang 44 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 29 2018 A stochastic pitchfork bifurcation in most probable phase portraits. Zbl 1388.34058 Wang, Hui; Chen, Xiaoli; Duan, Jinqiao 17 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 17 2018 The Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1394.35380 Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao 12 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 11 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 11 2018 A Newton linearized compact finite difference scheme for one class of Sobolev equations. Zbl 1407.65098 Chen, Xiaoli; Duan, Jinqiao; Li, Dongfang 10 2018 Effective filtering on a random slow manifold. Zbl 1394.60037 Qiao, Huijie; Zhang, Yanjie; Duan, Jinqiao 7 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 6 2018 Kinetic solutions for nonlocal scalar conservation laws. Zbl 1390.35179 Wei, Jinlong; Duan, Jinqiao; Lv, Guangying 4 2018 ...and 162 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,308 Authors 185 Duan, Jinqiao 48 Xu, Yong 47 Gao, Hongjun 47 Wang, Bixiang 29 Xu, Wei 25 Lv, Guangying 24 Pei, Bin 24 Wang, Wei 23 Guo, Boling 23 Wu, Jianglun 22 Xie, Yongqin 21 Lu, Kening 20 Wei, Jinlong 19 Kurths, Jürgen 19 Li, Xiaofan 18 Li, Yangrong 18 Zhou, Shengfan 17 Chen, Guanggan 17 Huang, Jianhua 17 Sun, Chunyou 17 Yang, Meihua 16 Fu, Xinchu 16 Liu, Jicheng 16 Qiao, Huijie 16 Schmalfuß, Björn 16 Shu, Ji 15 Li, Yang 15 Ma, Qiaozhen 14 Chen, Xiaoli 14 Gao, Peng 14 Gu, Anhui 14 Wang, Zhaojuan 14 Zhu, Kaixuan 13 Caraballo Garrido, Tomás 13 Dybiec, Bartłomiej 13 Gao, Ting 13 Liu, Xianming 13 Wang, Jintao 12 Li, Dingshi 12 Yang, Lu 12 Zeng, Caibin 11 Blömker, Dirk 11 Kloeden, Peter Eris 11 Liu, Xianbin 11 Wang, Xiao 11 Wang, Yejuan 10 Cheng, Xiujun 10 Guo, Zhongkai 10 Röckner, Michael 10 Shen, Guangjun 10 Shen, Jun 10 Shi, Lin 10 Sun, Xiaobin 10 Sun, Xu 10 Wang, Liang 10 Zhang, Hongxia 10 Zhang, Jiangwei 10 Zheng, Yayun 9 Chao, Ying 9 Guo, Yanfeng 9 Li, Chunqiu 9 Li, Yongge 9 Liu, Wei 9 Lv, Yan 9 Xie, Longjie 9 Xie, Yingchao 9 Yao, Xiaobin 9 Yuan, Shenglan 9 Zhang, Jian 9 Zhang, Yanjie 9 Zhao, Huaizhong 9 Zhao, Junyilang 8 Choudhury, Sudipto Roy 8 Fu, Hongbo 8 Han, Ping 8 Li, Desheng 8 Li, Dongfang 8 Mahmoud, Emad E. 8 Mei, Xinyu 8 Neamţu, Alexandra 8 Roberts, Anthony John 8 Wang, Renhai 8 Wang, Xiangjun 8 Wang, Xiaohu 8 Wei, Pingyuan 8 Wu, Fengyan 8 Xu, Jie 8 Zhang, Chengjian 8 Zhong, Chengkui 7 Bu, Charles 7 Chen, Yong 7 Hu, Jianyu 7 Kulikov, Dmitriĭ Anatol’evich 7 Li, Ji 7 Li, Meng 7 Li, Shihu 7 Lu, Yubin 7 Mancas, Stefan C. 7 Maroulas, Vasileios 7 Meng, Fengjuan ...and 2,208 more Authors all top 5 Cited in 291 Serials 84 Journal of Differential Equations 81 Discrete and Continuous Dynamical Systems. 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Nonlinear Differential Equations and Applications 6 Complexity 6 Journal of Difference Equations and Applications 6 Bernoulli 6 Journal of Mathematical Fluid Mechanics 6 Qualitative Theory of Dynamical Systems 5 Communications in Mathematical Physics 5 The Annals of Probability 5 Topological Methods in Nonlinear Analysis 5 Filomat 5 Fractional Calculus & Applied Analysis 5 Discrete Dynamics in Nature and Society 5 Journal of Evolution Equations 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Communications in Computational Physics 5 Chinese Journal of Physics (Taipei) 5 Evolution Equations and Control Theory 5 Journal of Function Spaces 4 Indian Journal of Pure & Applied Mathematics 4 SIAM Journal on Control and Optimization 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Theoretical Probability 4 Asymptotic Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bulletin des Sciences Mathématiques 4 Engineering Analysis with Boundary Elements 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Frontiers of Mathematics in China 4 International Journal for Computational Methods in Engineering Science and Mechanics 4 Journal of Theoretical Biology 4 Open Mathematics 4 Electronic Research Archive ...and 191 more Serials all top 5 Cited in 41 Fields 991 Partial differential equations (35-XX) 890 Probability theory and stochastic processes (60-XX) 571 Dynamical systems and ergodic theory (37-XX) 304 Numerical analysis (65-XX) 302 Ordinary differential equations (34-XX) 150 Fluid mechanics (76-XX) 124 Biology and other natural sciences (92-XX) 115 Systems theory; control (93-XX) 89 Statistical mechanics, structure of matter (82-XX) 66 Real functions (26-XX) 53 Geophysics (86-XX) 52 Operator theory (47-XX) 50 Mechanics of particles and systems (70-XX) 45 Mechanics of deformable solids (74-XX) 40 Computer science (68-XX) 36 Statistics (62-XX) 23 Integral equations (45-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Information and communication theory, circuits (94-XX) 15 Functional analysis (46-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Difference and functional equations (39-XX) 11 Approximations and expansions (41-XX) 11 Quantum theory (81-XX) 9 Combinatorics (05-XX) 9 General topology (54-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Measure and integration (28-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operations research, mathematical programming (90-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 2 Potential theory (31-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year