Effects of multiple delays on dynamics of a five-neuron network model

作者: JuHong Ge

DOI: 10.1007/S11071-018-4346-3

关键词:

摘要: A five-neuron network model with multiple delays is proposed. This paper presents the combined effect of different on dynamics proposed network. Pitchfork bifurcation discussed in detail variation value coupled weight or attenuation rate internal neurons. By analyzing corresponding characteristic equation, some stable criteria delay-dependence and delay-independence are derived including weights periodic oscillation arises bifurcated from trivial equilibrium after loses its stability. Stable regions displayed two delayed parameter plane. It shown that can produce stability switching between resting state activity. Finally, theoretical results justified by providing illustrative examples.

参考文章(50)
Xiaohong Tian, Rui Xu, Qintao Gan, Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion Applied Mathematics and Computation. ,vol. 266, pp. 909- 926 ,(2015) , 10.1016/J.AMC.2015.06.009
Xiao-Chen Mao, Hai-Yan Hu, Hopf bifurcation analysis of a four-neuron network with multiple time delays Nonlinear Dynamics. ,vol. 55, pp. 95- 112 ,(2009) , 10.1007/S11071-008-9348-0
Changjin Xu, Xianhua Tang, Maoxin Liao, Stability and bifurcation analysis of a six-neuron BAM neural network model with discrete delays Neurocomputing. ,vol. 74, pp. 689- 707 ,(2011) , 10.1016/J.NEUCOM.2010.09.002
Israel Ncube, Stability switching and Hopf bifurcation in a multiple-delayed neural network with distributed delay Journal of Mathematical Analysis and Applications. ,vol. 407, pp. 141- 146 ,(2013) , 10.1016/J.JMAA.2013.05.021
Changjin Xu, Xiaofei He, Peiluan Li, Global existence of periodic solutions in a six-neuron BAM neural network model with discrete delays Neurocomputing. ,vol. 74, pp. 3257- 3267 ,(2011) , 10.1016/J.NEUCOM.2011.05.007
Lei Li, Yuan Yuan, Dynamics in three cells with multiple time delays Nonlinear Analysis: Real World Applications. ,vol. 9, pp. 725- 746 ,(2008) , 10.1016/J.NONRWA.2006.12.015