  Chimera states in the systems of nonlocally coupled phase oscillators are
considered stable in the continuous limit of spatially distributed oscillators.
However, it is reported that in the numerical simulations without taking such
limit, chimera states are chaotic transient and finally collapse into the
completely synchronous solution. In this paper, we numerically study chimera
states by using the coupling function different from the previous studies and
obtain the result that chimera states can be stable even without taking the
continuous limit, which we call the persistent chimera state.
