Showing math.DSShow all
3 papers · 1 filter
math.DS2019
State transitions in the Morris-Lecar model under stable Lévy noise
Rui Cai, Yancai Liu, Jinqiao Duan +1
This paper considers the state transition of the stochastic Morris-Lecar neuronal model driven by symmetric -stable Lévy noise. The considered system is bistable: a stable fixed…
math.DS2018
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
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…