相排斥振子网络中的涌现多稳定性和挫折
Emergent multistability and frustration in phase-repulsive networks of oscillators
摘要：
我们研究了具有相位排斥耦合的振子网络的集体动力学，考虑了不同的网络尺寸和拓扑结构。引入链路挫折的概念来表征和量化网络的动态状态。与广泛研究的相吸引情形相反，我们模型中最终动力学态的性质严重依赖于网络拓扑。特别是，每个网络的总挫折值与其拓扑结构密切相关。此外，相位排斥网络通常显示多个最终挫折状态，其统计和稳定性特性是唯一识别它们的。
英文摘要：
We study the collective dynamics of oscillator networks with phase-repulsive coupling, considering various network sizes and topologies. The notion of link frustration is introduced to characterize and quantify the network dynamical states. In opposition to widely studied phase-attractive case, the properties of final dynamical states in our model critically depend on the network topology. In particular, each network's total frustration value is intimately related to its topology. Moreover, phase-repulsive networks in general display multiple final frustration states, whose statistical and stability properties are uniquely identifying them.
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