Hindmarsh-Rose神经元的随机自共振和噪声影响下的同步

研究了噪声对Hindmarsh-Rose(HR)神经元随机自共振和同步的影响。将高斯白噪声加入HR神经元模型的膜电位上，把外界直流电作为分岔参数，分别考虑参数处于Hopf分岔前、Hopf分岔附近和Hopf分岔后时，噪声影响下的随机自共振现象。两个未经耦合的全同HR神经元，如果接受相同的噪声激励，只要噪声强度高于某临界值，就能达到完全同步。进一步，噪声能够增强弱耦合神经元的完全同步。数值结果表明簇放电的神经元比峰放电的神经元更容易被噪声诱导而达到完全同步，耦合也增强了神经元对噪声激励的灵敏度。

Another anticontrol method of chaos in the sense of Devaney from a Takagi-Sugeno fuzzy system via the overflow nonlinearity

Noise effects on coherence resonance and synchronization of Hindmarsh-Rose (HR) neu model are studied. The coherence resonance of a single HR neuron with Gaussian white ndded to membrane potential is investigated in situations before, near and after the Hopf bifuion, separately, with the external direct current as a bifurcation parameter. It is shown that ehough there is no coupling between neurons, uncoupled identical HR neurons driven by a comm noise can achieve complete synchronization when the noise intensity is higher than a critical va Furthermore, noise also enhances complete synchronization of weakly coupled neurons. It is cluded that synchronization in bursting neurons is easier to be induced than in spiking ones,oupling enhances the sensitivity of synchronization of neurons to noise stimulus.