CHAOS AND PERIODICITY IN A DISCRETE-TIME BAIER-SAHLE MODEL

We investigate a discrete-time dynamical system, described by a n-dimensional map which is derived from the continuous-time Baier-Sahle system by the forward Euler method. We report on twodimensional parameter-spaces for this system. More specifically we show that for n = 3, can be seen periodic structures embedded in a quasiperiodic region, similar to the Arnold tongues of the circle map, whose periods are organized in a period-adding sequence. We also show that for n > 3, trajectories in the phase-space are always unbounded.