亚临界Hopf分岔附近的随机自共振

Stochastic Resonance Near Subcritical Hopf Bifurcations Point

用INa,p+IK神经元数学模型,研究了其在亚临界霍普夫(Hopf)分岔点附近的随机节律,此随机节律为阵发节律,对分岔附近的随机节律通过两个不同的信噪比特征进行分析,发现了随机自共振现象。该结果不仅揭示亚临界Hopf分岔点附近随机节律的特征,而且给现实神经系统的亚临界Hopf分岔点附近的随机节律提供一个判断指标。

The stochastic rhythm was studied near subcritical Hopf bifurcation point in INa,p＋IKneuron model and identified to be an on-off rhythm. Correspondingly, the autonomous stochastic resonance induced by noise was also studied by two different the signal - to - noise ratio （SNR）. The results not only reveal the dynamics and characteristics of firing patterns near the subcritical Hopf bifurcation point but also provide practical method to identify the subcritical Hopf bifur- cation point in nervous system.