时滞神经元系统在外部周期激励下的动力学行为研究  

Research on dynamic behavior of delayed neural system under external periodic stimulation

作　　者：刘群[1] 

机构地区：[1]重庆邮电大学计算机学院

出　　处：《重庆邮电大学学报（自然科学版）》2009年第4期561-567,共7页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(60573047);重庆市教委(KJ070504);重庆市自然科学基金项目(CSTC;2007BB2386)

摘　　要：研究了2个时滞神经元模型在外部周期激励下的动力学行为,研究表明在外部周期作用下系统将由稳定状态变为周期运动状态。通过使用时延作为分岔参数,采用解析法以及摄动技术获取系统的平均方程对其进行分析,发现系统将随着时延的增加失去平衡,进入拟周期状态,最后导致混沌运动。实验结果证实解析法所获得的结果是有效而正确的。The dynamic behavior of a two neuron delay model under the periodic stimulus was investigated. It is shown that the occurrence of the stimulus will change the stability state into the periodic motion. Using the time delay as the bifurcation parameter, the analytical method and perturbation technique were adopted to receive the averaged equations for analyzing them. The system will lose its stability with the time delay increasing, give rise to a quasi-periodic motion, and cause the chaotic motion. Simulation results show that the results of the analytical method are valid.

关 键 词：分岔 时延 解析法 平均方程 外部周期激励 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]