Periodicity in a Class of Systems of Delay Difference Equations

Abstract EN

We study a system of delay difference equations modeling four-dimensional discrete-time delayed neural networks with no internal decay.

Such a discrete-time system can be regarded as the discrete analog of a differential equation with piecewise constant argument.

By using semicycle analysis method, it is shown that every bounded solution of this discrete-time system is eventually periodic.

The obtained results are new, and they complement previously known results.