Abstract
In this paper, we consider a time-delayed Hopfield type neural network model with ring structure and three different delays and show that the Hopf bifurcation occurs when the sum of the three delays varies and passes a sequence of critical values. This objective is achieved by analyzing the associated characteristic transcendental equations. Finally, the simulating results demonstrate the validity and feasibility of a part of our theoretical results
Keywords: Hopfield neural networks, Routh-Hurwitz criteria, Hopf bifurcation
Mathematcs Subject Classification (2010): 34K18, 92B20
SJR
ISC
CPNU
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