  In the present study, we investigate the existence of Li-Yorke chaos in the
dynamics of shunting inhibitory cellular neural networks (SICNNs) on time
scales. It is rigorously proved by taking advantage of external inputs that the
outputs of SICNNs exhibit Li-Yorke chaos. The theoretical results are supported
by simulations, and the controllability of chaos on the time scale is
demonstrated by means of the Pyragas control technique. This is the first time
in the literature that the existence as well as the control of chaos are
provided for neural networks on time scales.
