4 citations · 7 across the 4 of their papers we have counts for
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math.DS2018★ 4 cited
Lévy noise induced escape in the Morris-Lecar model
Yancai Liu, Rui Cai, Jinqiao Duan
The phenomenon of an excitable system producing a pulse under external or internal stimulation may be interpreted as a stochastic escape problem. This work addresses this issue by…
math.DS2018★ 3 cited
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…