色噪声激励下的FHN神经元系统

研究了色噪声激励下的FHN系统的相变问题和平均首次穿越时间，并推导了系统的定态概率密度函数和平均首次穿越时间表达式.结果表明，参数α，τ和β可以诱导相变，且存在锁定现象，各个参数对平均首次穿越时间都有很大影响，但影响效果有很大不同. 关键词： FHN系统 色噪声 平均首次穿越时间 定态概率密度

Fitz hugh-nagumo neural system driven by colored noises

We investigated the phase transition and the mean first-passage time of a Fitz hugh-nagumo neural system driven by colored noises, and the expressions of the stationary probability distribution and the mean first-passage time were obtained. The conclusions show that the parameters α,τ and β can induce phase transition, and there is a locking phenomenon in the system. Each parameter affects the system's mean first-passage time quite differently.