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20092026
most citedA Wong-Zakai Approximation of Stochastic Differential Equations Driven by a General Semimartingale

2 citations · 6 across the 8 of their papers we have counts for

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Showing 2018 · math.DSShow all

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math.DS2018

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…

math.DS2018

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…