  Non-locally coupled oscillators with a phase lag exhibit various non-trivial
spatio-temporal patterns such as the chimera states and the multi-twisted
states. We numerically study large-scale spatio-temporal patterns in a ring of
oscillators with a repulsive coupling with a phase delay parameter $\alpha$. We
find that the multi-chimera state disappears when $\alpha$ exceeds a critical
value. Analyzing the density of incoherent regions, we show that the transition
is analogous to that of directed percolation with two absorbing states, but
their critical behaviors are different. The multi-chimera state reappears when
$\alpha$ is further increased, exhibiting non-trivial spatio-temporal patterns
with a plateau in the density of incoherent regions. A transition from the
multi-chimera to multi-twisted states follows at a larger value of $\alpha$,
resulting in five collective phases in total.
