  We study the steady-state patterns of population of the coupled oscillators
that sync and swarm, where the interaction distances among oscillators have
finite-cutoff in interaction distance. We examine how the static patterns known
in the infinite-cutoff are reproduced or deformed, and explore a new static
pattern that does not appear until a finite-cutoff is considered. All
steady-state patterns of the infinite-cutoff, static sync, static async, and
static phase wave are respectively repeated in space for proper finite-cutoff
ranges. Their deformation in shape and density takes place for the other
finite-cutoff ranges. Bar-like phase wave states are observed, which has not
been the case for the infinite-cutoff. All the patterns are investigated via
numerical and theoretical analysis.
