  We study a population of swarmalators, mobile variants of phase oscillators,
which run on a ring and have both attractive and repulsive interactions. This
one-dimensional (1D) swarmalator model produces several of collective states:
the standard sync and async states as well as a splaylike "polarized" state and
several unsteady states such as active bands or swirling. The model's
simplicity allows us to describe some of the states analytically. The model can
be considered as a toy model for real-world swarmalators such as vinegar eels
and sperm which swarm in quasi-1D geometries.
