2 papers
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…