Title :
Hopf bifurcation analysis on a two-neuron system in the frequency domain
Author :
Li, Shaowen ; Li, Shaorong ; Liao, Xiaofeng
Author_Institution :
Dept. of Math., Southwest Univ. of Finance & Econ. of China, Chengdu, China
fDate :
29 June-1 July 2002
Abstract :
In this paper, we study a two-neuron system with distributed delays in the frequency domain. Allowing the mean delay as a-bifurcating parameter and using the Nyquist criterion, we obtain that Hopf bifurcation occurs for a weak kernel, and analyze the direction and stability of the bifurcating periodic solutions.
Keywords :
bifurcation; delays; frequency-domain analysis; neural nets; Hopf bifurcation analysis; Nyquist criterion; bifurcating periodic solutions; distributed delays; frequency domain; mean delay; stability; two-neuron system; weak kernel; Bifurcation; Delay systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Kernel; Neurofeedback; Neurons; Stability analysis; Stability criteria; State feedback;
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.2002.1179094
