Chimera states in a globally coupled bipartite network with higher-order interaction

We show the emergence of two distinct stable chimeras and two distinct breathing chimeras in a globally coupled phase oscillators on a bipartite network due to the interplay between the higher-order interaction and the phase lag parameter. We also show that the bipartite network exhibits extreme multistable states and a wide variety of phase transitions among the observed dynamical states. We find that a delicate balance between the higher-order interaction and the phase lag parameter favors asymmetric inhomogeneous dynamical states, while that between the pairwise interaction and the phase lag parameter favors symmetric homogeneous synchronized state in a large region of the parameter space. In addition, a large degree of heterogeneity also found to favor homogeneous synchronized state. We also deduce the low-dimensional evolution equations corresponding to the macroscopic order parameters from the original discrete system of coupled phase oscillators on the bipartite network using the Ott-Antonsen framework. Further, we analytically derive the stability conditions for the in-phase, and out-of-phase synchronized states including desynchronized state from the evolution equations for the macroscopic order parameters.