Tang Jun, Jia Ya, Yi Ming, Ma Jun, Li Jiarong
Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan 430079, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jun;77(6 Pt 1):061905. doi: 10.1103/PhysRevE.77.061905. Epub 2008 Jun 6.
The bistable FitzHugh-Nagumo (FHN) neural model driven by two multiplicative noises and one additive noise is investigated. Two different potential mechanisms for enhancing coherence of bistable FHN model are presented, that is, the first multiplicative noise changes the system from the bistable to the oscillatory regime, and the second multiplicative noise can enhance the symmetry of two stable states of the system. The two mechanisms are analytically or numerically explained. At any level of the second multiplicative noise, a maximal coherence have been found at some intermediate noise intensity of the first multiplicative noise. Only when the first multiplicative noise intensity is less than 0.0001 can a maximal coherence be obtained at some intermediate noise intensity of the second multiplicative noise. These coherence resonance phenomena have been understood in terms of the presented mechanisms.
研究了由两个乘性噪声和一个加性噪声驱动的双稳FitzHugh-Nagumo（FHN）神经模型。提出了两种增强双稳FHN模型相干性的不同潜在机制，即第一种乘性噪声使系统从双稳状态转变为振荡状态，第二种乘性噪声可增强系统两个稳定状态的对称性。对这两种机制进行了理论分析或数值解释。在第二种乘性噪声的任何水平下，在第一种乘性噪声的某些中间噪声强度处都发现了最大相干性。只有当第一种乘性噪声强度小于0.0001时，在第二种乘性噪声的某些中间噪声强度处才能获得最大相干性。已根据所提出的机制理解了这些相干共振现象。
