Discrete delays and piecewise constant argument in neuronics

The literature of neural network models has been intensively established in the last two decades. As one of the most interested topics of studying the dynamics of a neural networks system, parametrical-induced, dynamical stability draws a vast majority of attention in the recent years of researches. For examples, in their recent study, Akhmet & Yilmaz 2009 considered the Hopfield type neural networks system with piecewise constant argument of generalized type without delays. They showed the global asymptotic stability of the system by using Gronwall-Bellman inequality. Abbas 2009 investigated the k-pseudo almost periodic sequence solutions of a discrete time neural network. They studied the existence, uniqueness and the exponential attractively of the solution. Coombes & Laing 2009 also discussed the stability of