摘要
利用稳定性理论和中心流形定理等方法研究双时滞磁通神经元模型的稳定性、Hopf分岔的存在性以及分岔方向和分岔周期解的稳定性,并给出部分数值模拟验证所得结论.结果表明:在特定时滞范围内模型存在分岔周期解;时滞的增加可诱导尖峰放电行为.
We studied the stability,the existence of Hopf bifurcation and the stability bifurcation direction and bifurcation periodic solution of the double-delay flux neuron model by using stability theory,central manifold theorem and other methods,and some conclusions obtained by numerical simulation were given.The results show that the bifurcation periodic solution of the model is obtained within a certain time delay range,and the increase of time delay can induce the spike discharge behavior.
作者
于欢欢
安新磊
路正玉
王文静
YU Huanhuan;AN Xinlei;LU Zhengyu;WANG Wenjing(School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China)
出处
《吉林大学学报(理学版)》
CAS
北大核心
2019年第5期1111-1121,共11页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:61863022)