Dynamics in a delayed-neural network

Yuan Yuan

Chaos, Solitons & Fractals, 2007, vol. 33, issue 2, 443-454

Abstract: In this paper, we consider a neural network of four identical neurons with time-delayed connections. Some parameter regions are given for global, local stability and synchronization using the theory of functional differential equations. The root distributions in the corresponding characteristic transcendental equation are analyzed, Pitchfork bifurcation, Hopf and equivariant Hopf bifurcations are investigated by revealing the center manifolds and normal forms. Numerical simulations are shown the agreements with the theoretical results.

Date: 2007
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:2:p:443-454

DOI: 10.1016/j.chaos.2006.01.018

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