title: Model bridging chimera state and explosive synchronization.
abstract: Global synchronization and partial synchronization are the two distinctive forms of synchronization in coupled oscillators and have been well studied in recent decades. Recent attention on synchronization is focused on the chimera state (CS) and explosive synchronization (ES), but little attention has been paid to their relationship. Here we study this topic by presenting a model to bridge these two phenomena, which consists of two groups of coupled oscillators, and its coupling strength is adaptively controlled by a local order parameter. We find that this model displays either CS or ES in two limits. In between the two limits, this model exhibits both CS and ES, where CS can be observed for a fixed coupling strength and ES appears when the coupling is increased adiabatically. Moreover, we show both theoretically and numerically that there are a variety of CS basin patterns for the case of identical oscillators, depending on the distributions of both the initial order parameters and the initial average phases. This model suggests a way to easily observe CS, in contrast to other models having some (weak or strong) dependence on initial conditions.
authors: Department of Physics, East China Normal University, Shanghai 200062, China.
authors: Xiyun
authors: X
authors: Zhang
authors: Department of Physics, East China Normal University, Shanghai 200062, China.
authors: Hongjie
authors: H
authors: Bi
authors: Department of Physics, East China Normal University, Shanghai 200062, China.
authors: Shuguang
authors: S
authors: Guan
authors: State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China.
authors: Jinming
authors: J
authors: Liu
authors: Department of Physics, East China Normal University, Shanghai 200062, China.|State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China.
authors: Zonghua
authors: Z
authors: Liu