Figure 10

Modulated synchronous states in direct numerical simulations. Simulations for the parameters where no stable traveling waves exist, with \({{\rm{\Theta }}}_{2}=0\) and \({\rm{\Delta }}=0.5\). Panels (a), (d) and (g) show the time dependence of the global order parameter R, after a long transient is discarded. Panels (b), (e) and (h) show the real and the imaginary part of the complex global order parameter Z. Panels (c), (f) and (i) show the snapshot of the phases of oscillators. The parameters are: in (a), (b) and (c), \({{\rm{\Theta }}}_{1}=0.2\pi \), \(\lambda =0.7\); in (d), (e) and (f), \({{\rm{\Theta }}}_{1}=0.6\pi \), \(\lambda =0.5\); in (g), (h) and (i), \({{\rm{\Theta }}}_{1}=0.75\pi \), \(\lambda =0.315\).