非线性耦合Hindmarsh-Rose神经元同步迁移  

Synchronous transfer of nonlinear coupled Hindmarsh-Rose neurons

作　　者：李延龙[1] 贾利平[1] 陈辉[1] 彭辉[1] 王立华[1] 

机构地区：[1]兰州理工大学理学院,兰州730050

出　　处：《兰州大学学报（自然科学版）》2011年第5期115-119,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(61164006);甘肃省自然科学基金项目(1107RJZA132)

摘　　要：研究了Hindmarsh-Rose神经元在非线性耦合作用下的同步问题,进一步讨论了非线性耦合与线性耦合作用下同步的迁移,采用灰度图的方式表示出Laypunov指数,判定了混沌系统的同步;然后给定暂态过程值,通过计算误差函数给出二级耦合下线性耦合与非线性耦合同步参数区域,发现非线性耦合对线性耦合有比较强的调制作用.In this paper, synchronization of Hindmarsh-Rose due to nonlinear coupling was investigated; furthermore, transition of synchronization for neurons was discussed under the action of linear and nonliner coupling. By way of gray-scale maps the Laypunov index was shown and the chaotic system synchronization determined. The synchroniztion parameter region in the phase plane of linear coupling parameter vs. nonlinear parameter was presented via extensive numerical studies, and it is found that nonlinear coupling plays important role in adjusting the action of linear coupling.

关 键 词：Hindmarsh—Rose模型 双向耦合 增益系数 同步 

分 类 号：O415[理学—理论物理]