摘要
针对一类平面上三分段连续线性神经元模型,研究了边界平衡点的持续性分岔(persistence)、非光滑折分岔(non-smooth fold)的存在条件及一类跨边界周期解.最后,通过施加缓慢变化的周期外激励研究其对边界分岔和系统周期放电的影响.
A three-piecewise linear continuous neuronal model is discussed in this paper. The existence conditions for persistence bifurcation and non-smooth fold bifurcation in the boundary equilibrium point are theoretically analyzed. In addition, periodic solutions across the double switching boundaries can be observed by numerical simulation. Finally, the effect of slowly varying periodic external stimulation on the boundary bifurcation and the periodic bursting of the system is explored.
作者
商梦媛
李群宏
徐现丽
Shang Mengyuan;Li Qunhong;Xu Xianli(College of Mathematics and Information Science, Guangxi University, Nanning 530004,China)
出处
《动力学与控制学报》
2019年第2期121-126,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11372077,11602059,11872154)~~
关键词
分段线性系统
边界平衡点分岔
周期外激励
周期放电
piecewise linear system
boundary equilibrium bifurcation
periodic stimulation
periodic bursting
