17 citations · 22 across the 8 of their papers we have counts for
3 papers · 1 filter
Approximation of Random Slow Manifolds and Settling of Inertial Particles under Uncertainty
Jian Ren, Jinqiao Duan, Christopher K. R. T. Jones
A method is provided for approximating random slow manifolds of a class of slow-fast stochastic dynamical systems. Thus approximate, low dimensional, reduced slow systems are obtai…
Small noise approximation of center manifolds for stochastic dynamical systems
Jian Ren, Zhongkai Guo, Xianming Liu +1
This paper provides a small noise approximation for local random center manifolds of a class of stochastic dynamical systems in Euclidean space. An example is presented to illustra…
Ensemble Averaging for Dynamical Systems under Fast Oscillating Random Boundary Conditions
Wei Wang, Jian Ren, Jinqiao Duan +1
This paper is devoted to provide a theoretical underpinning for ensemble forecasting with rapid fluctuations in body forcing and in boundary conditions. Ensemble averaging principl…