  Oscillatory media can exhibit the coexistence of synchronized and
desynchronized regions, so-called chimera states, for uniform parameters and
symmetrical coupling. In a phase-balanced chimera state, where the totals of
synchronized and desynchronized regions, respectively, are of the same size,
the symmetry of the system predicts that interchanging both phases still gives
a solution to the underlying equations. We observe this kind of interchange as
a self-emerging phenomenon in an oscillatory medium with nonlinear global
coupling. An interplay between local and global couplings renders the formation
of these alternating chimeras possible.
