FIG. 2.

(a) Bifurcation diagram of the deterministic map. Nonlinear map given by Eqs. (30)–(32) is paced for 1000 beats, and the steady state SR load $x_n$ is plotted for the last 100 beats. (b) Bifurcation of the stochastic map with diffusion coupling set to $l=2$. The $200\times 200$ system is initialized with uniform initial conditions then paced for 1000 beats. The steady state average $x_n$ transitions from an approximate period 1 to a period 2 response beginning at $T_1\approx 600\mathrm{ms}$ then back to period 1 for $T<T_2\approx 350\mathrm{ms}$. (c) Increasing coupling to $l=8$ uncovers higher order periodicities ranging between P1 and P4.