论文部分内容阅读
神经元电活动可以从静息通过Hopf分岔到放电,放电频率有固定周期;也可以从静息通过鞍-结分岔到放电,放电频率接近零.在具有周期性的相位噪声作用下的Hopf分岔和鞍-结分岔点附近,都会产生相干共振.噪声的周期小于Hopf分岔点附近的放电的周期时,相位噪声可以引起神经系统产生一次相干共振,位于系统内在的固有频率附近;噪声的周期大于系统的固有周期时,相位噪声可以引起双共振,对应低噪声强度的共振产生在噪声频率附近,对应高噪声强度的共振产生在系统的固有频率附近;并对双共振的产生原因进行了解释.在鞍-结分岔点附近,无论噪声的周期是大是小,都只会引起一次共振,研究结果不仅揭示了相位噪声作用下平衡点分岔点相干共振的动力学特性和对应于两类分岔的两类神经兴奋性的差别,还对近期的相位噪声诱发产生单或双共振的不同研究结果给出了解释.
The electrical activity of neurons can be bifurcated from rest through Hopf to discharge, the discharge frequency has a fixed period, and the quasi-discharge can also be quashed from rest through saddle-junction, the discharge frequency is close to zero. Under the action of periodic phase noise Hopf bifurcation and saddle-knot bifurcation point, the phase noise will cause a coherent resonance in the nervous system, which is located near the natural frequency of the system ; The period of the noise is greater than the natural period of the system, the phase noise can cause double resonance, the resonance corresponding to the low noise intensity is generated near the noise frequency, and the resonance corresponding to the high noise intensity is generated near the natural frequency of the system; The reason is explained.While near the saddle-knot bifurcation point, the resonance will only cause a resonance no matter the period of the noise is large or small. The research results not only reveal the dynamic characteristics of the coherent resonance of the bifurcation point under the phase noise And the differences between the two types of neural excitations corresponding to the two types of bifurcations and the different findings of recent phase noise induced single or double resonance Explanation.