Reversed two-cluster chimera state in non-locally coupled oscillators with heterogeneous phase lags

The dynamics of non-locally coupled two-segment phase oscillators with different phase lags are investigated. It is found that there exists a reversed two-cluster chimera state if the Kuramoto oscillators possess heterogeneous phase lags. It is interesting that the frequencies of oscillators in different synchronized clusters we observed here are different and their directions of rotation are reversed. The size of clusters depends only on the phase lag. Our results can be analytically predicted and reproduced with the help of the Ott-Antonsen Ansatz.