Synchronization in a chaotic neural network with time delay depending on the spatial distance between neurons.
Synchronization in a chaotic neural network with time delay depending on the spatial distance between neurons.
复制标题
DOI：
10.1103/physreve.84.046207
复制
发表时间：
2011-10
期刊：
影响因子：
--
通讯作者：
Guoning Tang;Kesheng Xu;Luoluo Jiang
中科院分区：
文献类型：
--
作者：
Guoning Tang;Kesheng Xu;Luoluo Jiang
通过引入一个时滞全局耦合方案，研究了二维Hindmarsh-Rose神经元网络的同步问题，其中时滞的长度与神经元之间的空间距离成正比.我们发现时滞总是干扰神经网络的同步。当耦合强度和每单位距离的时间延迟长度（即，放大因子）足够大时，时滞会引起神经元异常的膜电位振荡。具体而言，对称放置的神经元的异常膜电位振荡形成反相，使得大的耦合强度和放大因子导致神经元网络的去极化。在适当的参数选择下，神经元网络可以实现完全同步和间歇性完全同步。分析了这些现象背后的物理机制。
The synchronization is investigated in a two-dimensional Hindmarsh-Rose neuronal network by introducing a global coupling scheme with time delay, where the length of time delay is proportional to the spatial distance between neurons. We find that the time delay always disturbs synchronization of the neuronal network. When both the coupling strength and length of time delay per unit distance (i.e., enlargement factor) are large enough, the time delay induces the abnormal membrane potential oscillations in neurons. Specifically, the abnormal membrane potential oscillations for the symmetrically placed neurons form an antiphase, so that the large coupling strength and enlargement factor lead to the desynchronization of the neuronal network. The complete and intermittently complete synchronization of the neuronal network are observed for the right choice of parameters. The physical mechanism underlying these phenomena is analyzed.