Existence of Periodic Solutions for the Discrete-Time Counterpart of a Complex-Valued Hopfield Neural Network with Time-Varying Delays and Impulses
Valéry Covachev, Zlatinka Covacheva · 2018
Using the semi-discretization method, in the present paper a discrete-time counterpart of a complex-valued Hopfield neural network with time-varying delays and impulses is constructed. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained are found in terms of M-matrices by using the continuation theorem of coincidence degree theory.