  Chimera states in one-dimensional nonlocally coupled phase oscillators are
mostly assumed to be stationary, but breathing chimeras can occasionally
appear, branching from the stationary chimeras via Hopf bifurcation. In this
paper, we demonstrate two types of breathing chimeras: The type I breathing
chimera looks the same as the stationary chimera at a glance, while the type II
consists of multiple coherent regions with different average frequencies.
Moreover, it is shown that the type I changes to the type II by increasing the
breathing amplitude. Furthermore, we develop a self-consistent analysis of the
local order parameter, which can be applied to breathing chimeras, and
numerically demonstrate this analysis in the present system.
