An introduction to stochastic dynamics J Duan Cambridge University Press, 2015 | 373 | 2015 |
Invariant manifolds for stochastic partial differential equations J Duan, K Lu, B Schmalfuss Annals of Probability, 2109-2135, 2003 | 317 | 2003 |
Fractional Fokker–Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises D Schertzer, M Larchevêque, J Duan, VV Yanovsky, S Lovejoy Journal of Mathematical Physics 42 (1), 200-212, 2001 | 243 | 2001 |
Stochastic bifurcations in a bistable Duffing--Van der Pol oscillator with colored noise Y Xu, R Gu, H Zhang, W Xu, J Duan Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 83 (5 …, 2011 | 217 | 2011 |
Effective dynamics of stochastic partial differential equations J Duan, W Wang Elsevier, 2014 | 206 | 2014 |
An averaging principle for stochastic dynamical systems with Lévy noise Y Xu, J Duan, W Xu Physica D: Nonlinear Phenomena 240 (17), 1395-1401, 2011 | 181 | 2011 |
Smooth stable and unstable manifolds for stochastic evolutionary equations J Duan, K Lu, B Schmalfuss Journal of Dynamics and Differential Equations 16, 949-972, 2004 | 168 | 2004 |
Restoration of rhythmicity in diffusively coupled dynamical networks W Zou, DV Senthilkumar, R Nagao, IZ Kiss, Y Tang, A Koseska, J Duan, ... Nature communications 6 (1), 7709, 2015 | 142 | 2015 |
Limit set of trajectories of the coupled viscous Burgers' equations J Nee, J Duan Applied mathematics letters 11 (1), 57-61, 1998 | 142 | 1998 |
Large deviations for the Boussinesq equations under random influences J Duan, A Millet Stochastic processes and their Applications 119 (6), 2052-2081, 2009 | 134 | 2009 |
Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model TM Özgökmen, PF Fischer, J Duan, T Iliescu Journal of Physical Oceanography 34 (9), 2006-2026, 2004 | 116 | 2004 |
Mean exit time and escape probability for dynamical systems driven by Lévy noises T Gao, J Duan, X Li, R Song SIAM Journal on Scientific Computing 36 (3), A887-A906, 2014 | 106 | 2014 |
Invariant manifolds for random and stochastic partial differential equations T Caraballo, J Duany, K Lu, B Schmalfuβ Advanced Nonlinear Studies 10 (1), 23-52, 2010 | 98 | 2010 |
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity C Sun, D Cao, J Duan Nonlinearity 19 (11), 2645, 2006 | 95 | 2006 |
Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain TM Özgökmen, T Iliescu, PF Fischer, A Srinivasan, J Duan Ocean Modelling 16 (1-2), 106-140, 2007 | 93 | 2007 |
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks X Chen, L Yang, J Duan, GE Karniadakis SIAM Journal on Scientific Computing 43 (3), B811-B830, 2021 | 92 | 2021 |
Global existence theory for a generalized Ginzburg-Landau equation J Duan, P Holmes, ES Titi Nonlinearity 5 (6), 1303, 1992 | 92 | 1992 |
Lévy noise-induced stochastic resonance in a bistable system Y Xu, J Li, J Feng, H Zhang, W Xu, J Duan The European Physical Journal B 86, 1-7, 2013 | 86 | 2013 |
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation J Duan, ES Titi, P Holmes Nonlinearity 6 (6), 915, 1993 | 80 | 1993 |
Complex projective synchronization in coupled chaotic complex dynamical systems Z Wu, J Duan, X Fu Nonlinear Dynamics 69, 771-779, 2012 | 79 | 2012 |