中文摘要：

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．

英文摘要：

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.