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Mathematical Problems in Engineering
Volume 2016, Article ID 1965790, 7 pages
http://dx.doi.org/10.1155/2016/1965790
Research Article

Dynamics Analysis of Neuron Bursting under the Modulation of Periodic Stimulation

1Faculty of Science, Jiangsu University, Zhenjiang 212013, China
2School of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, China

Received 5 April 2016; Revised 23 July 2016; Accepted 8 August 2016

Academic Editor: Laura Gardini

Copyright © 2016 Ying Ji et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A nonsmooth neuron model with periodic excitation which can reproduce spiking and bursting behavior of cortical neurons is investigated in this paper. Based on nonsmooth bifurcation analysis, the mechanism of the bursting behavior induced by slow-changing periodical stimulation as well as the associated evolution with the variation of the stimulation is explored. The modulating character of the external excitation and the effect of the bifurcation occurring at the switching boundary of the vector field are presented.