10 citations · 36 across the 16 of their papers we have counts for
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math.DS2022
Slow manifolds for stochastic Koper models with stable Lévy noises
Hina Zulfiqar, Shenglan Yuan, Muhammad Shoaib Saleem
The Koper model is a vector field in which the differential equations describe the electrochemical oscillations appearing in diffusion processes. This work focuses on the understan…
stat.ML2022★ 7 cited
Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning
Yang Li, Shenglan Yuan, Shengyuan Xu
The mean exit time escaping basin of attraction in the presence of white noise is of practical importance in various scientific fields. In this work, we propose a strategy to contr…
math.DS2022★ 10 cited
Bifurcation and chaotic behaviour in stochastic Rosenzweig-MacArthur prey-predator model with non-Gaussian stable Lévy noise
Shenglan Yuan, Zibo Wang
We perform dynamical analysis on a stochastic Rosenzweig-MacArthur model driven by α-stable Lévy motion. We analyze the existence of the equilibrium points, and provide a clear ill…