Title :
Hopf bifurcation analysis of a neuron model
Author :
Shaorong Li ; Liao, Xiaofeng ; Li, Shaowen
Author_Institution :
Coll. of Optoelectronic Inf., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
fDate :
29 June-1 July 2002
Abstract :
In this paper, the bifurcation phenomena of a neural model with distributed delay is investigated. Using the mean time delay as a bifurcation parameter, we prove that Hopf bifurcation occurs. Stability criteria for the bifurcating periodic solutions are obtained. Some computer simulations illustrate correctness of the results.
Keywords :
bifurcation; delays; neural nets; stability criteria; Hopf bifurcation analysis; bifurcating periodic solutions; computer simulations; distributed delay; mean time delay; neural networks; neuron model; stability criteria; Asymptotic stability; Bifurcation; Computer simulation; Delay effects; Equations; Information analysis; Kernel; Neural networks; Neurons; Stability criteria;
Conference_Titel :
Communications, Circuits and Systems and West Sino Expositions, IEEE 2002 International Conference on
Print_ISBN :
0-7803-7547-5
DOI :
10.1109/ICCCAS.2002.1179098