Long-term state patterns induced by negative mean of the coupling disorder

Abstract

We explore a population of coupled oscillators capable of movement in two-dimensional space, named swarmalators, focusing on the numerical long-term state patterns. The system is composed of two equal-size subsystems of their own coupling strength distributions that give the negative means of intra-subsystem couplings and that of inter-subsystem couplings as well. The mean of each subgroup is used as the control parameter. We numerically observe that four long-term states appear depending on the two control parameters. It is also observed that there is a pattern with sync-state subsystem, which is non-trivial for bare subsystem of zero or negative coupling-strength mean.