Emergent dynamics in heterogeneous pulsatile swarmalators.

We study a variant of the one-dimensional swarmalator model where the phase dynamics are pulsatile, governed by a phase-response curve and a pulse function, similar to the Winfree model of regular oscillators. Previously, we studied the idealized case where the individual swarmalators were identical; we generalize this to the more realistic case of non-identical swarmalators, where the natural frequencies are randomly distributed. We find that this heterogeneity leads to new kinds of collective dynamics. These states may be observable in groups of Japanese Tree frogs, circularly confined sperm, or other types of real-world swarmalators.