摘要
利用神经元Chay模型,对实验中观察到的三种放电节律模式序列进行数值模拟,并应用余维1极限环分岔分析研究了其产生机理.首先考虑的是周期性放电模式的变化过程;其次,具有不同表象的一种超临界和一种亚临界倍周期簇放电序列产生并导致混沌现象的出现,然后以不同的方式转迁到逆超临界倍周期峰放电序列;最后研究无混沌的加周期簇放电序列,得出加周期分岔仅是一种与倍周期分岔密切相关的分岔现象.
Transitions of different neuronal firing patterns in the Chay model are explored by numerical simulation of three firing sequences observed in experiments on neural pacemakers, and the bifurcation analysis of limit cycle. Firstly,the transitions of periodic firing patterns through a pair of period-doubling bifurcations are obtained. Secondly,a supercritical and a subcritical period-doubling bursting sequences with different appearances lead to chaos,and then transit to an inverse period-doubling spiking sequence in different ways,separately. Finally,we reveal the true nature of period-adding bursting sequence without chaotic bursting,which is closely related to period-doubling bifurcation.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2010年第8期5319-5324,共6页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10702002
10872014)资助的课题~~
关键词
放电模式的转迁
倍周期分岔
加周期簇放电序列
transitions of firing patterns
period-doubling bifurcation
period-adding bursting sequence