Dominant collective motion in globally coupled tent maps

We investigate collective motion in high dimensional chaos, where all elements in a population behaves chaotically and incoherently in appearance. Numerical experiments for globally coupled tent maps show the existence of a quasi-periodic collective motion even under slight interaction. It is found that the amplitude of the collective motion F is scaled as, $KF \propto \exp(-K^{-1})$, by the coupling strength K. The collective motion is qualitatively equivalent over a parameter range of O(KF) in the tent map. The phase diagram for the collective motion is studied in detail from a viewpoint of the dominant collective motion.