摘要
A piece-wise linear planar neuron model with periodic stimulation which can mimic the behavior of bursting is explored. The periodic bursting with three frequencies can be observed in numerical simulation. We present an analysis of bursting in this non-smooth non-autonomous system by considering the system as a generalized autonomous system and introduce an appropriate form of the associated generalized equilibrium solution. The bifurcation mechanism of bursting as well as the coexistence of three frequencies is investigated in detail.
A piece-wise linear planar neuron model with periodic stimulation which can mimic the behavior of bursting is explored. The periodic bursting with three frequencies can be observed in numerical simulation. We present an analysis of bursting in this non-smooth non-autonomous system by considering the system as a generalized autonomous system and introduce an appropriate form of the associated generalized equilibrium solution. The bifurcation mechanism of bursting as well as the coexistence of three frequencies is investigated in detail.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 11302086,11374130,11474134 and 11402226
the Natural Science Foundation of Jiangsu Province under Grant No BK20141296
the Post-doctoral Science Fund of China under Grant No 2014M561574
the Post-doctoral Science Fund of Jiangsu Province under Grant No 1302094B
