Abstract
Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been intensively investigated in the past decade. In this work, we report a special chimera state, 2-frequency chimera state, in one-dimensional ring of nonlocally coupled Brusselators. In a 2-frequency chimera state, there exist two types of coherent domains and oscillators in different types of coherent domains have different mean phase velocities. We present the stability diagram of 2-frequency chimera state and study the transition between the 2-frequency chimera state and an ordinary 2-cluster chimera state.
Highlights
Chimera state refers to a type of fascinating hybrid dynamical states in which identically coupled units spontaneously develop into coexisting synchronous and asynchronous parts
Coherent oscillators in small coherent domains may disperse their variables over a large range such as the phase in the range of 2π
Oscillators in different coherent domains are in anti-phase for the 2-cluster chimera state, which provides an explanation for the anti-phase between two large coherent domains in a 2-frequency chimera state
Summary
Chimera state refers to a type of fascinating hybrid dynamical states in which identically coupled units spontaneously develop into coexisting synchronous and asynchronous parts. Different types of chimera states such as breathing chimeras [2], multi-cluster chimeras [26,27,28], and spiral chimeras [29, 30] have been discovered and investigated in details. In these chimera states, coherent oscillators always have the same mean phase velocity. We will report a new type of chimera state in which coherent oscillators may have different mean phase velocities
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