Title :
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
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;
Conference_Titel :
Communications, Circuits and Systems, 2005. Proceedings. 2005 International Conference on
Print_ISBN :
0-7803-9015-6
DOI :
10.1109/ICCCAS.2005.1495306
