8 citations · 11 across the 6 of their papers we have counts for
4 papers · 1 filter
Slow manifold and parameter estimation for a nonlocal fast-slow stochastic evolutionary system
Hina Zulfiqar, Ziying He, Meihua Yang +1
We establish a slow manifold for a fast-slow stochastic evolutionary system with anomalous diffusion, where both fast and slow components are influ- enced by white noise. Furthermo…
A parameter estimator based on Smoluchowski-Kramers approximation
Ziying He, Jinqiao Duan, Xiujun Cheng
We devise a simplified parameter estimator for a second order stochastic differential equation by a first order system based on the Smoluchowski-Kramers approximation. We establish…
A Wong-Zakai Approximation for Random Slow Manifolds with Application to Parameter Estimation
Ziying He, Xinyong Zhang, Tao Jiang +1
We study a Wong-Zakai approximation for the random slow manifold of a slow-fast stochastic dynamical system. We first deduce the existence of the random slow manifold about an appr…
A role of random slow manifolds in detecting stochastic bifurcation
Ziying He, Rui Cai, Jinqiao Duan +1
We consider the relation for the stochastic equilibrium states between the reduced system on a random slow manifold and the original system. This provides a theoretical basis for t…