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## Duan, Jinqiao

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 Author ID: duan.jinqiao Published as: Duan, J.; Duan, Jin-qiao; Duan, JinQiao; Duan, Jinqiao; Duan, Jinquiao Homepage: http://mypages.iit.edu/~duan/ External Links: MGP · Math-Net.Ru · ORCID · ResearchGate · dblp
 Documents Indexed: 233 Publications since 1992, including 4 Books
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#### Co-Authors

 7 single-authored 19 Gao, Hongjun 16 Li, Xiaofan 13 Fu, Xinchu 12 Schmalfuß, Björn 11 Ervin, Vincent J. 10 Kurths, Jürgen 10 Wang, Wei 8 Chen, Xiaoli 8 Gao, Ting 8 Lv, Guangying 8 Qiao, Huijie 8 Sun, Xu 8 Zheng, Yayun 6 Cao, Daomin 6 Chen, Xiaopeng 6 Kan, Xingye 6 Liu, Xianming 5 Brannan, James R. 5 Cheban, David Nikolai 5 Cheng, Xiujun 5 Kloeden, Peter Eris 5 Li, Dongfang 5 Özgökmen, Tamay M. 5 Ren, Jian 5 Roberts, Anthony John 5 Wang, Xiangjun 5 Yan, Wei 4 Bongolan-Walsh, Vena Pearl 4 Chao, Ying 4 Fu, Hongbo 4 Holmes, Philip J. 4 Li, Desheng 4 Sun, Chunyou 4 Wang, Hui 4 Wang, Xiao 4 Wu, Fengyan 4 Xu, Wei 4 Yang, Fang 4 Zhang, Yanjie 3 Chen, Guanggan 3 Cheng, Zhuan 3 Du, Aijun 3 Fischer, Paul F. 3 He, Ziying 3 Huang, Jianhua 3 Iliescu, Traian 3 Li, Chujin 3 Lu, Kening 3 Song, Renming 3 Titi, Edriss Saleh 3 Wang, Ming 3 Wei, Pingyuan 3 Xu, Yong 3 Yang, Meihua 3 Yuan, Shenglan 3 Zhang, Chengjian 3 Zhao, Caidi 2 Blömker, Dirk 2 Cai, Rui 2 Chen, Huiqin 2 Chueshov, Igor’ Dmitrievich 2 Cui, Shangbin 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 Li, Yang 2 Li, Yongsheng 2 Lin, Guoguang 2 Liu, Jicheng 2 Lu, Yubin 2 Razoumov, Leonid 2 Schertzer, Daniel 2 Sun, Jianhua 2 Wan, Li 2 Wang, Jintao 2 Wanner, Thomas 2 Wei, Jinlong 2 Wiggins, Stephen 2 Wu, Zhaoyan 2 Yang, Desheng 2 Yang, Lu 2 Zhang, Jian 2 Zhang, Qi 2 Zhang, Yanxia 1 Ashwin, Peter 1 Bai, Lu 1 Brune, Peter R. 1 Bu, Charles 1 Caraballo Garrido, Tomás 1 Chen, Baohua 1 Chen, Huyuan 1 Chen, Yong 1 Çinar, Ali 1 Dai, Min 1 Di, Yana ...and 77 more Co-Authors
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#### Serials

 16 Applied Mathematics and Computation 14 Journal of Mathematical Physics 14 Chaos 13 Journal of Mathematical Analysis and Applications 9 Applied Mathematics Letters 9 Stochastics and Dynamics 8 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Differential Equations 6 Physica D 6 Nonlinear Analysis. Real World Applications 6 Dynamical Systems 5 Nonlinearity 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 Applied Mathematical Modelling 3 Computers & Mathematics with Applications 3 SIAM Journal on Mathematical Analysis 3 Journal of Dynamics and Differential Equations 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Statistical Mechanics: Theory and Experiment 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 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 Communications in Mathematical Sciences 2 Analysis and Applications (Singapore) 2 Interdisciplinary Mathematical Sciences 1 Advances in Applied Probability 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 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 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 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 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 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications 1 Cambridge Texts in Applied Mathematics 1 Communications on Applied Mathematics and Computation
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#### Fields

 127 Probability theory and stochastic processes (60-XX) 108 Partial differential equations (35-XX) 90 Dynamical systems and ergodic theory (37-XX) 45 Fluid mechanics (76-XX) 37 Ordinary differential equations (34-XX) 35 Geophysics (86-XX) 21 Numerical analysis (65-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 1 History and biography (01-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 Computer science (68-XX) 1 Mechanics of deformable solids (74-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

178 Publications have been cited 1,631 times in 986 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
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
2011
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
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
2003
Global existence theory for a generalized Ginzburg-Landau equation. Zbl 0783.35070
Duan, Jinqiao; Holmes, Philip; Titi, Edriss S.
1992
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Zbl 0808.35133
Duan, Jinqiao; Titi, Edriss S.; Holmes, Philip
1993
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
Limit set of trajectories of the coupled viscous Burgers’ equations. Zbl 1076.35537
Nee, Janpou; Duan, J.
1998
Complex projective synchronization in coupled chaotic complex dynamical systems. Zbl 1253.93060
Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu
2012
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
On the Cauchy problem of a generalized Ginzburg-Landau equation. Zbl 0833.35067
Duan, Jinqiao; Holmes, Philip
1994
On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0890.35137
Gao, Hongjun; Duan, Jinqiao
1997
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Zbl 1113.35133
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2006
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2007
Stochastic averaging principle for dynamical systems with fractional Brownian motion. Zbl 1314.60122
Xu, Yong; Guo, Rong; Liu, Di; Zhang, Huiqing; Duan, Jinqiao
2014
Non-autonomous wave dynamics with memory – asymptotic regularity and uniform attractors. Zbl 1170.35026
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2008
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
Asymptotics for the generalized two-dimensional Ginzburg-Landau equation. Zbl 0952.35035
Gao, Hongjun; Lin, Guoguang; Duan, Jinqiao
2000
Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise. Zbl 1202.35124
Yang, Meihua; Duan, Jinqiao; Kloeden, Peter
2011
Zhao, Caidi; Duan, Jinqiao
2010
Almost periodic solutions and global attractors of nonautonomous Navier-Stokes equations. Zbl 1088.35043
Cheban, David; Duan, Jinqiao
2004
A linear chaotic quantum harmonic oscillator. Zbl 0956.37057
Duan, J.; Fu, X.-C.; Liu, P.-D.; Manning, A.
1999
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation. Zbl 0820.58053
Duan, Jinqiao; Holmes, Philip
1995
Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Zbl 06892656
Chen, Xiaoli; Di, Yana; Duan, Jinqiao; Li, Dongfang
2018
On the stochastic Kuramoto-Sivashinsky equation. Zbl 0976.60059
Duan, Jinqiao; Ervin, Vincent J.
2001
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
Approximation for random stable manifolds under multiplicative correlated noises. Zbl 1352.37188
Jiang, Tao; Liu, Xianming; Duan, Jinqiao
2016
Impacts of noise on a class of partial differential equations. Zbl 1319.60143
Lv, Guangying; Duan, Jinqiao
2015
Slow manifolds for multi-time-scale stochastic evolutionary systems. Zbl 1417.37267
Duan, Jinqiao; Fu, Hongbo; Liu, Xianming
2013
An impact of noise on invariant manifolds in nonlinear dynamical systems. Zbl 1310.34096
Sun, Xu; Duan, Jinqiao; Li, Xiaofan
2010
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
Large deviations and approximations for slow-fast stochastic reaction-diffusion equations. Zbl 1256.35217
Wang, Wei; Roberts, A. J.; Duan, Jinqiao
2012
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026
Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J.
2000
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
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
Dissipative quasi-geostrophic dynamics under random forcing. Zbl 0922.60054
Brannan, James R.; Duan, Jinqiao; Wanner, Thomas
1998
Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions. Zbl 1410.82017
Gao, Ting; Duan, Jinqiao; Li, Xiaofan
2016
An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053
Fu, Hongbo; Duan, Jinqiao
2011
A dynamical approximation for stochastic partial differential equations. Zbl 1152.81629
Wang, Wei; Duan, Jinqiao
2007
Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions. Zbl 1126.35112
Wang, Wei; Duan, Jinqiao
2007
An impact of stochastic dynamic boundary conditions on the evolution of the Cahn-Hilliard system. Zbl 1124.60052
Yang, Desheng; Duan, Jinqiao
2007
Symbolic representations of iterated maps. Zbl 1021.37007
Fu, Xin-Chu; Lu, Weiping; Ashwin, Peter; Duan, Jinqiao
2001
Dissipative quasi-geostrophic motion under temporally almost periodic forcing. Zbl 0951.76093
Duan, Jinqiao; Kloeden, Peter E.
1999
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
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
Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes. Zbl 1278.82045
Sun, Xu; Duan, Jinqiao
2012
Geometric shape of invariant manifolds for a class of stochastic partial differential equations. Zbl 1317.35302
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2011
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
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains. Zbl 1125.60064
Wang, Wei; Cao, Daomin; Duan, Jinqiao
2007
Ergodicity of stochastically forced large scale geophysical flows. Zbl 1049.37004
Duan, Jinqiao; Goldys, Beniamin
2001
Stochastic basins of attraction for metastable states. Zbl 1375.37146
Serdukova, Larissa; Zheng, Yayun; Duan, Jinqiao; Kurths, Jürgen
2016
Nonlinear filtering of stochastic dynamical systems with Lévy noises. Zbl 1326.60086
Qiao, Huijie; Duan, Jinqiao
2015
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
Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises. Zbl 1218.60051
Liu, Xianming; Duan, Jinqiao; Liu, Jicheng; Kloeden, Peter E.
2010
Random dynamics of the Boussinesq system with dynamical boundary conditions. Zbl 1179.60043
Brune, Peter; Duan, Jinqiao; Schmalfuß, Björn
2009
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
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
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2001
Exponential stability of the quasigeostrophic equation under random perturbations. Zbl 0987.76027
Duan, Jinqiao; Kloeden, Peter E.; Schmalfuss, Björn
2001
Escape probability, mean residence time and geophysical fluid particle dynamics. Zbl 1194.76241
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
1999
A stochastic pitchfork bifurcation in most probable phase portraits. Zbl 1388.34058
Wang, Hui; Chen, Xiaoli; Duan, Jinqiao
2018
Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals. Zbl 1375.60113
Lv, Guangying; Duan, Jinqiao
2017
Escape probability for stochastic dynamical systems with jumps. Zbl 1271.60070
Qiao, Huijie; Kan, Xingye; Duan, Jinqiao
2013
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
2012
Approximation of invariant foliations for stochastic dynamical systems. Zbl 1252.60057
Sun, Xu; Kan, Xingye; Duan, Jinqiao
2012
State space decomposition for non-autonomous dynamical systems. Zbl 1263.37028
Chen, Xiaopeng; Duan, Jinqiao
2011
Recurrent motions in the nonautonomous Navier-Stokes system. Zbl 1119.37335
Bongolan-Walsh, Vena Pearl; Cheban, David; Duan, Jinqiao
2003
Time-periodic quasigeostrophic motion under dissipation and forcing. Zbl 0935.76090
Duan, Jinqiao
1999
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
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
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
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396
He, Jinchun; Duan, Jinqiao; Gao, Hongjun
2015
Centre manifolds for stochastic evolution equations. Zbl 1325.60103
Chen, Xiaopeng; Roberts, Anthony; Duan, Jinqiao
2015
Exponential stability of the multi-layer quasi-geostrophic ocean model with delays. Zbl 1171.35447
Wan, Li; Duan, Jinqiao
2009
Structure of the set of bounded solutions for a class of nonautonomous second-order differential equations. Zbl 1169.34031
Li, Desheng; Duan, Jinqiao
2009
Stochastic parameterization for large eddy simulation of geophysical flows. Zbl 1105.76033
2007
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2003
Generalization of the second Bogolyubov’s theorem for non-almost periodic systems. Zbl 1027.34065
Cheban, David N.; Duan, Jinqiao; Gherco, Anatoly
2003
Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force. Zbl 1205.76280
Gao, Hongjun; Duan, Jinqiao
2003
Chaotic properties of subshifts generated by a nonperiodic recurrent orbit. Zbl 1090.37501
Fu, Xin-Chu; Fu, Yibin; Duan, Jinqiao; Mackay, Robert S.
2000
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
Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269
Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao
2019
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
A Newton linearized compact finite difference scheme for one class of Sobolev equations. Zbl 1407.65098
Chen, Xiaoli; Duan, Jinqiao; Li, Dongfang
2018
Effective filtering on a random slow manifold. Zbl 1394.60037
Qiao, Huijie; Zhang, Yanjie; Duan, Jinqiao
2018
The Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1394.35380
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
2018
Behavioral synchronization induced by epidemic spread in complex networks. Zbl 1390.92149
Sun, Mengfeng; Lou, Yijun; Duan, Jinqiao; Fu, Xinchu
2017
A Wong-Zakai approximation for random invariant manifolds. Zbl 1386.60220
Jiang, Tao; Liu, Xianming; Duan, Jinqiao
2017
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
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
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
Nonlocal dynamics for non-Gaussian systems arising in biophysical modeling. Zbl 07172819
Chen, Xiaoli; Duan, Jinqiao
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
Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269
Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; 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
White noise driven Ostrovsky equation. Zbl 1420.35483
Yan, Wei; Yang, Meihua; Duan, Jinqiao
2019
Centre manifolds for infinite dimensional random dynamical systems. Zbl 1415.37098
Chen, Xiaopeng; Roberts, Anthony J.; 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
A parameter estimator based on Smoluchowski-Kramers approximation. Zbl 1442.60062
He, Ziying; Duan, Jinqiao; Cheng, Xiujun
2019
Hamiltonian systems with Lévy noise: symplecticity, Hamilton’s principle and averaging principle. Zbl 1453.60110
Wei, Pingyuan; Chao, Ying; 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
The Onsager-Machlup function as Lagrangian for the most probable path of a jump-diffusion process. Zbl 07102636
Chao, Ying; Duan, Jinqiao
2019
Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Zbl 06892656
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
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 stochastic pitchfork bifurcation in most probable phase portraits. Zbl 1388.34058
Wang, Hui; Chen, Xiaoli; 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
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
A Newton linearized compact finite difference scheme for one class of Sobolev equations. Zbl 1407.65098
Chen, Xiaoli; Duan, Jinqiao; Li, Dongfang
2018
Effective filtering on a random slow manifold. Zbl 1394.60037
Qiao, Huijie; Zhang, Yanjie; Duan, Jinqiao
2018
The Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1394.35380
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
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
Kinetic solutions for nonlocal scalar conservation laws. Zbl 1390.35179
Wei, Jinlong; Duan, Jinqiao; Lv, Guangying
2018
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
A Wong-Zakai approximation for random invariant manifolds. Zbl 1386.60220
Jiang, Tao; Liu, Xianming; 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
Existence and regularity of a linear nonlocal Fokker-Planck equation with growing drift. Zbl 1366.35230
Wang, Ming; Duan, Jinqiao
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
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
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 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
On the shape Conley index theory of semiflows on complete metric spaces. Zbl 1341.37007
Wang, Jintao; Li, Desheng; Duan, Jinqiao
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
Stationary measures for stochastic differential equations with jumps. Zbl 1351.28027
Qiao, Huijie; 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
Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation. Zbl 1354.60069
Guo, Yanfeng; Duan, Jinqiao; Li, Donglong
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
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
Nonlinear filtering of stochastic dynamical systems with Lévy noises. Zbl 1326.60086
Qiao, Huijie; Duan, Jinqiao
2015
A nonlocal Fokker-Planck equation for non-Gaussian stochastic dynamical systems. Zbl 1342.35396
He, Jinchun; Duan, Jinqiao; Gao, Hongjun
2015
Centre manifolds for stochastic evolution equations. Zbl 1325.60103
Chen, Xiaopeng; Roberts, Anthony; Duan, Jinqiao
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
Most probable dynamics of some nonlinear systems under noisy fluctuations. Zbl 07246163
Cheng, Zhuan; Duan, Jinqiao; Wang, Liang
2015
A parameter estimation method based on random slow manifolds. Zbl 1443.37038
Ren, Jian; Duan, Jinqiao; Wang, Xiangjun
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
Topological equivalence for discontinuous random dynamical systems and applications. Zbl 1296.60157
Qiao, Huijie; Duan, Jinqiao
2014
Synchronization of an evolving complex hyper-network. Zbl 1427.34071
Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu
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
Random dynamics of the stochastic Boussinesq equations driven by Lévy noises. Zbl 1279.60079
Huang, Jianhua; Li, Yuhong; 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
Non-Gaussian dynamics of a tumor growth system with immunization. Zbl 1272.92025
Hao, Mengli; Gao, Ting; Duan, Jinqiao; Xu, Wei
2013
Complex projective synchronization in coupled chaotic complex dynamical systems. Zbl 1253.93060
Wu, Zhaoyan; Duan, Jinqiao; Fu, Xinchu
2012
Large deviations and approximations for slow-fast stochastic reaction-diffusion equations. Zbl 1256.35217
Wang, Wei; Roberts, A. J.; Duan, Jinqiao
2012
Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes. Zbl 1278.82045
Sun, Xu; Duan, Jinqiao
2012
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
2012
Approximation of invariant foliations for stochastic dynamical systems. Zbl 1252.60057
Sun, Xu; Kan, Xingye; Duan, Jinqiao
2012
Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356
Zhao, Caidi; Duan, Jinqiao
2012
Impact of $$\alpha$$-stable Lévy noise on the Stommel model for the thermohaline circulation. Zbl 1243.60051
Wang, Xiangjun; Wen, Jianghui; Li, Jianping; Duan, Jinqiao
2012
Global well-posedness of a stochastic coupled Kuramoto-Sivashinsky and Ginzburg-Landau-type model for the Marangoni convection. Zbl 1274.76194
Wu, Wei; Cui, Shangbin; Duan, Jinqiao
2012
Averaging, homogenization and slow manifolds for stochastic partial differential equations. Zbl 1260.60118
Duan, Jinqiao; Roberts, Anthony; Wang, Wei
2012
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
2011
Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise. Zbl 1202.35124
Yang, Meihua; Duan, Jinqiao; Kloeden, Peter
2011
Asymptotic behavior for a semilinear second order evolution equation. Zbl 1235.35046
Sun, Chunyou; Yang, Lu; Duan, Jinqiao
2011
An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053
Fu, Hongbo; Duan, Jinqiao
2011
Geometric shape of invariant manifolds for a class of stochastic partial differential equations. Zbl 1317.35302
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian
2011
State space decomposition for non-autonomous dynamical systems. Zbl 1263.37028
Chen, Xiaopeng; Duan, Jinqiao
2011
A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions. Zbl 1220.65007
Xu, Shengqiang; Duan, Jinqiao
2011
Quantifying model uncertainties in complex systems. Zbl 1288.37029
Yang, Jiarui; Duan, Jinqiao
2011
Evolution systems of measures for stochastic flows. Zbl 1248.37047
Chen, Xiaopeng; Duan, Jinqiao; Scheutzow, Michael
2011
Dynamical behavior of the activator-repressor circuit model under random fluctuations. Zbl 1221.37213
Lee, Jae Kwan; Cinar, Ali; Duan, Jinqiao
2011
A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations. Zbl 1249.65007
Niu, Yuanling; Zhang, Chengjian; Duan, Jinqiao
2011
A computational analysis for mean exit time under non-Gaussian Lévy noises. Zbl 1252.65011
Chen, Huiqin; Duan, Jinqiao; Li, Xiaofan; Zhang, Chengjian
2011
Global mild solutions and attractors for stochastic viscous Cahn-Hilliard equation. Zbl 1218.37110
Ju, Xuewei; Wang, Hongli; Li, Desheng; Duan, Jinqiao
2011
Invariant manifolds for random and stochastic partial differential equations. Zbl 1209.37094
Caraballo, Tomás; Duan, Jinqiao; Lu, Kening; Schmalfuß, Björn
2010
Zhao, Caidi; Duan, Jinqiao
2010
An impact of noise on invariant manifolds in nonlinear dynamical systems. Zbl 1310.34096
Sun, Xu; Duan, Jinqiao; Li, Xiaofan
2010
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
Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises. Zbl 1218.60051
Liu, Xianming; Duan, Jinqiao; Liu, Jicheng; Kloeden, Peter E.
2010
Rare events in the Boussinesq system with fluctuating dynamical boundary conditions. Zbl 1183.35280
Sun, Chengfeng; Gao, Hongjun; Duan, Jinqiao; Schmalfuß, Björn
2010
...and 78 more Documents
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#### Cited by 1,226 Authors

 117 Duan, Jinqiao 39 Wang, Bixiang 27 Gao, Hongjun 19 Guo, Boling 18 Xu, Yong 18 Zhou, Shengfan 17 Lu, Kening 16 Schmalfuß, Björn 16 Wang, Wei 15 Lv, Guangying 15 Pei, Bin 14 Fu, Xinchu 14 Li, Yangrong 14 Wang, Zhaojuan 13 Sun, Chunyou 13 Wu, Jianglun 12 Gu, Anhui 12 Li, Xiaofan 11 Kurths, Jürgen 11 Yang, Meihua 10 Blömker, Dirk 10 Li, Dingshi 10 Liu, Jicheng 10 Liu, Xianming 10 Zheng, Yayun 9 Kloeden, Peter Eris 9 Ma, Qiaozhen 9 Sun, Xu 9 Xu, Wei 8 Huang, Jianhua 8 Lv, Yan 8 Roberts, Anthony John 8 Zhao, Huaizhong 7 Bu, Charles 7 Fu, Hongbo 7 Guo, Yanfeng 7 Mancas, Stefan C. 7 Maroulas, Vasileios 7 Qiao, Huijie 7 Shu, Ji 7 Wei, Jinlong 7 Yang, Lu 7 Zhao, Wenqiang 6 Bessaih, Hakima 6 Caraballo Garrido, Tomás 6 Cheng, Xiujun 6 Chueshov, Igor’ Dmitrievich 6 Gao, Peng 6 Li, Desheng 6 Mahmoud, Emad E. 6 Shen, Wenxian 6 Shi, Lin 6 Wang, Xiao 6 Wang, Xiaohu 6 Yang, Desheng 6 You, Yuncheng 6 Zhai, Jianliang 6 Zhong, Chengkui 5 Budhiraja, Amarjit S. 5 Chao, Ying 5 Chen, Guanggan 5 Chen, Xiaoli 5 Dybiec, Bartłomiej 5 Guo, Zhongkai 5 He, Ziying 5 Kostić, Marko 5 Lu, Qishao 5 Lu, Shujuan 5 Millet, Annie 5 Ren, Jian 5 Shen, Jun 5 Wan, Li 5 Wang, Hui 5 Wang, Yejuan 5 Wei, Pingyuan 5 Wu, Fengyan 5 Wu, Xinxing 5 Xie, Yongqin 5 Yang, Fang 5 Yuan, Shenglan 5 Zeng, Caibin 5 Zhang, Tusheng S. 5 Zhao, Junyilang 5 Zhu, Kaixuan 5 Zhu, Weiqiu 4 Bates, Peter W. 4 Brzeźniak, Zdzisław 4 Chen, Huabin 4 Chen, Xiaopeng 4 Cui, Hongyong 4 Dehghan Takht Fooladi, Mehdi 4 Deng, Weihua 4 Ervin, Vincent J. 4 Gao, Ting 4 Guo, Chunxiao 4 Huang, Chengming 4 Jia, Yueling 4 Jiang, Jinping 4 Li, Dongfang 4 Li, Donglong ...and 1,126 more Authors
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#### Cited in 193 Serials

 59 Journal of Mathematical Analysis and Applications 51 Journal of Differential Equations 49 Applied Mathematics and Computation 40 Stochastics and Dynamics 38 Discrete and Continuous Dynamical Systems. Series B 37 Journal of Mathematical Physics 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Chaos 26 Discrete and Continuous Dynamical Systems 21 Stochastic Analysis and Applications 21 Nonlinear Dynamics 21 Communications in Nonlinear Science and Numerical Simulation 18 Applied Mathematics Letters 18 Stochastic Processes and their Applications 16 Computers & Mathematics with Applications 16 Advances in Difference Equations 15 Physica D 14 Journal of Dynamics and Differential Equations 13 Nonlinear Analysis. Real World Applications 12 Statistics & Probability Letters 12 Abstract and Applied Analysis 11 Chaos, Solitons and Fractals 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Applicable Analysis 10 Mathematical Methods in the Applied Sciences 9 Journal of Statistical Physics 8 Applied Numerical Mathematics 8 Communications on Pure and Applied Analysis 7 Journal of Functional Analysis 7 Transactions of the American Mathematical Society 7 Applied Mathematics and Mechanics. (English Edition) 7 Mathematical Problems in Engineering 7 Boundary Value Problems 6 Journal of Computational and Applied Mathematics 6 Complexity 6 Acta Mathematica Sinica. English Series 6 SIAM Journal on Applied Dynamical Systems 6 Science China. Mathematics 5 Communications in Mathematical Physics 5 Journal of Computational Physics 5 Nonlinearity 5 Numerical Methods for Partial Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Journal of Difference Equations and Applications 5 Journal of Inequalities and Applications 5 Dynamical Systems 5 Journal of Function Spaces 4 The Annals of Probability 4 Applied Mathematics and Optimization 4 Mathematics and Computers in Simulation 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Control and Optimization 4 Journal of Scientific Computing 4 Numerical Algorithms 4 Applied Mathematical Modelling 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Nonlinear Science 4 Potential Analysis 4 Discrete Dynamics in Nature and Society 4 Journal of Statistical Mechanics: Theory and Experiment 4 Frontiers of Mathematics in China 3 Indian Journal of Pure & Applied Mathematics 3 Journal of the Franklin Institute 3 Physica A 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 NoDEA. Nonlinear Differential Equations and Applications 3 Bernoulli 3 Differential Equations and Dynamical Systems 3 Fractional Calculus & Applied Analysis 3 Journal of Mathematical Fluid Mechanics 3 Advanced Nonlinear Studies 3 Journal of Theoretical Biology 3 Journal of Applied Analysis and Computation 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Acta Mechanica 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Taiwanese Journal of Mathematics 2 Novi Sad Journal of Mathematics 2 Journal of Shanghai University 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Stochastics 2 Acta Mechanica Sinica 2 Journal of Physics A: Mathematical and Theoretical 2 Nonlinear Analysis. Hybrid Systems ...and 93 more Serials
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#### Cited in 38 Fields

 541 Partial differential equations (35-XX) 458 Probability theory and stochastic processes (60-XX) 336 Dynamical systems and ergodic theory (37-XX) 158 Ordinary differential equations (34-XX) 130 Numerical analysis (65-XX) 87 Fluid mechanics (76-XX) 63 Systems theory; control (93-XX) 37 Biology and other natural sciences (92-XX) 35 Statistical mechanics, structure of matter (82-XX) 31 Operator theory (47-XX) 30 Geophysics (86-XX) 25 Real functions (26-XX) 20 Mechanics of particles and systems (70-XX) 18 Mechanics of deformable solids (74-XX) 12 Statistics (62-XX) 11 Integral equations (45-XX) 9 Functional analysis (46-XX) 8 General topology (54-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 6 Optics, electromagnetic theory (78-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX)