神经元周期放电模式的分岔  

BIFURCATIONS OF PERIODIC FIRING PATTERNS IN NEURONAL MODEL

作　　者：丁学利[1,2] 李玉叶[2] 李群宏[1] 古华光 任维[2] 

机构地区：[1]广西大学数学与信息科学学院,南宁530004 [2]陕西师范大学生命科学学院,西安710062

出　　处：《动力学与控制学报》2009年第4期297-301,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(1077210;30770701;10432010);国家高新技术研究发展计划(2007AA02Z310)~~

摘　　要：利用一种可以计算自治非线性系统周期解及周期的改进打靶法,求解了神经元电活动Rose-Hind-marsh(R-H)模型自发放电的周期解和周期;计算了周期放电的Floquet乘子并分析了周期解的分岔,如倍周期分岔,鞍-结分岔.研究结果有助于进一步理解神经放电模式转迁的动力学和生物学意义.The periodic solution and its period of spontaneous firing of a neuronal Rose-Hindmarsh （R-H） model, were calculated by a modified shooting method, which can calculate the periodic orbit and its period of the autonomous nonlinear dynamic system. The Floquet multipliers of the periodic solutions were calculated, and the bifurcations of periodic solutions including period doubling bifurcation and saddle-node bifurcation were also analyzed. The results are helpful for understanding the dynamical and biological significances of transition between periodic firing patterns.

关 键 词：神经放电 周期解 分岔 Floquet乘子 打靶法 

分 类 号：Q42[生物学—神经生物学]