Bursting Behavior in the Piece-Wise Linear Planar Neuron Model with Periodic Stimulation
JI Ying, WANG Ya-Wei**
Faculty of Science, Jiangsu University, Zhenjiang 212013
Abstract ：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.
收稿日期: 2014-12-12
出版日期: 2015-04-30
:
02.30.Oz
(Bifurcation theory)
02.60.Cb
(Numerical simulation; solution of equations)
05.45.Pq
(Numerical simulations of chaotic systems)
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2015, Vol. 32 
