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81.
Complete synchronization of coupled Hindmarsh-Rose (HR) neurons with a ring structure is studied. The criterion for complete synchronization of coupled neurons with the ring structure is obtained through the stability analysis of the linearized synchronization error system. Numerical simulation is given to test the criterion for a system with three coupled HR neurons. 相似文献
82.
83.
研究了中心力场中的一类刚-弹耦合系统的平面运动动力学,模型是带有一悬臂
梁的刚体. 综合考虑了系统轨道运动与姿态运动,在Lagrange力学体系下给出了系统的运
动方程,在保守系统和考虑梁的材料黏滞阻尼两种情况下,利用能量-动量方法给出了一类
相对平衡点稳定性的充分条件. 相似文献
84.
To understand collective motion of real neural networks very well, we investigate collective phase synchronization of small world chaotic Hindmarsh-Rose (HR) neural networks. By numerical simulations, we conclude that small world chaotic HR neural networks can achieve collective phase synchronization. Furthermore, it is shown that phase synchronization of small world chaotic HR neural networks is dependent on the coupling strength,the connection topology (which is determined by the probability ]3), as well as the coupling number. These phenomena are important to guide us to understand the synchronization of real neural networks. 相似文献
85.
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。 相似文献
86.
To reveal the dynamics of neuronal networks with pacemakers, the firing patterns and their transitions are investigated in a ring HR neuronal network with gap junctions under the control of a pacemaker. Compared with the situation without pacemaker, the neurons in the network can exhibit wrious firing patterns as the externed current is applied or the coupling strength of pacemaker varies. The results are beneficial for understanding the complex cooperative behaviour of large neural assemblies with pacemaker control. 相似文献
87.
研究阈下周期信号激励对耦合肝细胞系统内钙离子浓度([Ca2+])的时空随机共振性质的影响.当阈下激励的频率等于确定性系统在Hopf分岔点附近的频率时,它就会极大地提高随机耦合系统内发生[Ca2+]喷发的细胞的比例,通过对喷发比的自相关函数计算得知阈下激励增强了系统在高斯白噪声作用下[Ca2+]的时间共振性.通过数值模拟得知,对于不同耦合强度,都存在最优噪声强度使得随机系统内[Ca2+]时间共振达到最佳,并且随着细胞间耦
关键词:
钙振动
噪声
阈下激励
随机共振 相似文献
88.
Pattern synchronization in a two-layer neuronal network is studied. For a single-layer network of Rulkov map neurons, there are three kinds of patterns induced by noise. Additive noise can induce ordered patterns at some intermediate noise intensities in a resonant way; however, for small and large noise intensities there exist excitable patterns and disordered patterns, respectively. For a neuronal network coupled by two single-layer networks with noise intensity differences between layers, we find that the two-layer network can achieve synchrony as the interlayer coupling strength increases. The synchronous states strongly depend on the interlayer coupling strength and the noise intensity difference between layers. 相似文献
89.
Encoding information by firing patterns is one of the basic neural functions, and synchronization is important collective behaviour of a group of coupled neurons. Taking account of two schemes for encoding information (that is, rate coding and temporal coding), rhythm synchronization of coupled neurons is studied. There are two types of rhythm synchronization of neurons: spike and burst synchronizations. Firstly, it is shown that the spike synchronization is equivalent to the phase synchronization for coupled neurons. Secondly, the similarity function of the slow variables of neurons, which have relevant to the bursting process, is proposed to judge the burst synchronization. It is also found that the burst synchronization can be achieved more easily than the spike synchronization, whatever the firing patterns of the neurons are. Hence the temporal encoding scheme, which is closely related to both the spike and burst synchronizations, is more comprehensive than the rate coding scheme in essence. 相似文献
90.