Asymptotic Stability, Orbital Stability of Hopf-Bifurcating Periodic Solution of a Simple Three-Neuron Artificial Neural Network with Distributed Delay

Asymptotic Stability, Orbital Stability of Hopf-Bifurcating Periodic Solution of a Simple Three-Neuron Artificial Neural Network with Distributed Delay

A distributed delay model of a class of three-neuron network has been investigated. Sufficient conditions for existence of unique equilibrium, multiple equilibria and their local stability are derived. A closed interval for a parameter of the system is identified in which Hopf-bifurcating periodic...

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Bibliographic Details
Main Authors: P. D. Gupta, N. C. Majee, A. B. Roy
Format: Article
Language:English
Published: Vilnius University Press 2008-01-01
Series:Nonlinear Analysis
Subjects:
distributed delay
orbital stability
supercritical Hopf-bifurcation
snake of orbits
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14586

Internet

http://www.journals.vu.lt/nonlinear-analysis/article/view/14586

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