Dynamical phase transitions in generalized Kuramoto model with distributed Sakaguchi phase

In this computational work, we have studied the disorder driven phase transitions in the paradigmatic Kuramoto–Sakaguchi model of synchronizing phase oscillators. We plot the steady state phase diagrams for quenched and annealed kinds of disorder in the Sakaguchi parameters, using the various order parameters quantifying strength of incoherence and discontinuity measures. The order of various transitions is confirmed by a study of the distribution of the order parameter and its fourth order Binder’s cumulant across the transition for an ensemble of initial distribution of phases. The system is shown to possess both continuous and discontinuous phase transitions depending on the disorder strength and coupling range. We also elucidate the role of chimeralike states in the synchronizing transition of the system, and study how disorder affects the formation and evolution of these states. Finally, we apply the Ott–Antonsen ansatz and show that theoretical results agree well with numerical findings.