DocumentCode
1704085
Title
Hopf bifurcation in an inertial neuron model with a strong kernel delay
Author
Li, Shaowen ; Li, Shaorong ; Sun, Yunlong ; Wang, Xinhua
Author_Institution
Coll. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Volume
2
fYear
2005
Lastpage
1130
Abstract
In this paper, a single inertial neuron system with distributed delays for the strong kernel is investigated. By applying the frequency domain approach, the existence of the bifurcation parameter point is determined. The direction and stability of the bifurcating periodic solutions are determined by the Nyquist criterion and the graphical Hopf bifurcation theorem. Some numerical simulations for justifying the theoretical analysis are also given.
Keywords
Nyquist criterion; bifurcation; frequency-domain analysis; neural nets; Nyquist criterion; bifurcating periodic solution direction; bifurcating periodic solution stability; bifurcation parameter point; frequency domain method; graphical Hopf bifurcation theorem; inertial neuron model; kernel distributed delays; strong kernel delay; Bifurcation; Delay systems; Educational institutions; Eigenvalues and eigenfunctions; Frequency domain analysis; Jacobian matrices; Kernel; Neurons; Numerical simulation; Stability criteria;
fLanguage
English
Publisher
ieee
Conference_Titel
Communications, Circuits and Systems, 2005. Proceedings. 2005 International Conference on
Print_ISBN
0-7803-9015-6
Type
conf
DOI
10.1109/ICCCAS.2005.1495305
Filename
1495305
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