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In this paper, we consider several three-dimension discrete neural network models representing the models containing symmetry with time-delayed connections. The existence of symmetric property is investigated. We examine the relation between the structure of a discrete network and the spatio-temporally symmetric periodic dynamics it can support. We illustrate the existence of spatio-temporally periodic...
In this paper, we consider a three-dimensional discrete neural network model with delay. The characteristic equation of the linearized system at the zero solution is a polynomial equation involving very high order terms. We derive some sufficient and necessary conditions on the asymptotic stability and multiple bifurcations of the zero solution. We give computer simulations to support the theoretical...
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