Fig. 7.

Distribution of the phase difference between $x_1(t)$ and $x_2(t)$ (left panels) obtained when the control parameter a is randomly distributed (right panels) with values close to the inset of Fig. 6. a The parameter a is sampled from a uniform distribution (left) and 2000 independent simulations are performed; the histogram for the relative phase ${\mathit{\phi }}_1-{\mathit{\phi }}_2$ is bimodal and sharply peaked around $0^{\circ }$ and ${180}^{\circ }$, with a small but nonzero probability of finding an intermediate phase lag. b The experiment is repeated with a normal distribution, which causes a third peak to develop around ${90}^{\circ }$ in the distribution for the phase lag; the latter peak is inherited from the distribution of the control parameter a