Title: A model bridging chimera state and explosive synchronization,
Abstract: Global and partial synchronization are the two distinctive forms of
synchronization in coupled oscillators and have been well studied in the past
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. We here 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 others models having some (weak or strong) dependence on initial
conditions.