The effect of time delay on spatiotemporal dynamics in one-dimensional discrete excitable media

We investigate the effect of time delay on spatiotemporal dynamics in one-d imensional discrete excitable media with local delayed-interactions using c oupled sine circle-maps.;With the help of the stability analysis and numeri cal calculation of the pattern complexity entropy, we construct the phase d iagram in the parameter space time delay and the nonlinear coupling. We fin d that the time delay affects the existence and stability of various regula r states including homogeneously phase-locked and checkerboard states. In p articular, the time delay induces the breakup of the homogeneously phase-lo cked state into spatiotemporal intermittency and the occurrence of multi-st ability that depends on the winding number.