New results for Hopf bifurcation in an inertial neuron model with a discrete delay

Author

Li, Shaorong ; Li, Shaowen ; Yang, Rende ; Wang, Xinhua

Author_Institution

Sch. of Opto-Electron. Inf., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

2

fYear

2005

Lastpage

1134

Abstract

In this paper, a single inertial neuron system with discrete delays 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; delays; frequency-domain analysis; neural nets; Nyquist criterion; bifurcating periodic solution direction; bifurcating periodic solution stability; bifurcation parameter point determination; discrete delay neuron model; frequency domain method; graphical Hopf bifurcation theorem; nonlinear dynamical systems; nonlinear system bifurcation analysis; single inertial neuron model; Bifurcation; Delay effects; Differential equations; Finance; Frequency domain analysis; Jacobian matrices; Mathematics; 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.2005.1495306

Filename

1495306