The dynamics in globally coupled phase oscillators with multi-peaked frequency distribution

In globally coupled phase oscillators, the natural frequency distribution plays a critical role on the synchronization. In this work, we consider globally coupled phase oscillators with a multi-peak natural frequency distribution, that is a superposition of two symmetrical bimodal Lorentzian distributions. Using Ott-Antonsen (OA) dimension reduction technique, we reduce the system from high dimension to low dimension, and investigate its dynamical behaviors in detail. Rich dynamical phenomena including revived incoherent states are found. Different types of partial synchronous states are characterized. We further investigate the phenomenon of revived incoherent states in a different view by modifying the model to a system composed of two interacting subpopulations of phase oscillators. (C) 2019 Elsevier B.V. All rights reserved.