摘要
由于突触连接,神经元之间的信息传递普遍存在着时滞效应.本文讨论时滞对四个环式耦合混沌HR(Hindmarsh-Rose)神经元的同步动力学行为影响.通过计算同步差,发现适当的时滞会诱发或增强混沌神经元间的完全同步,即时滞的作用使耦合系统在较小的耦合强度下存在稳定的同步状态.进一步还发现时滞会诱发神经元间出现相位同步,增大在相同步窗口.此外,在完全同步出现可以观察到由时滞诱发的一些复杂现象,包括近似同步与相位同步之间的转迁等.
Time delay exists widely in information transduction between neurons due to synaptic connection. The effects of time delay on the synchronization behaviour of four chaotic HR （ Hindmarsh - Rose） neurons with ring coupling scheme were studied. By computing the synchronization errors, it is found that complete synchronization among neurons can be induced or enhanced by appropriate time delays, namely, a stable synchronous state exists at lower coupling strengths under the action of time delay. It is further observed that time delay can also induce phase synchronization and enlarge the in - phase synchronization window. Moreover, complex phenomena induced by time delay, such as the transition between nearly complete synchronization and phase synchronization, can be observed before the occurrence of complete synchronization.
出处
《动力学与控制学报》
2008年第3期208-212,共5页
Journal of Dynamics and Control
基金
国家自然科学基金(10432010
10702023
10702002)
北京航空航天大学博士研究生创新基金资助项目~~
关键词
神经元
环式耦合
时滞
同步
neuron, ring coupling, time delay, synchronization
