We show that dynamical clustering, where a system segregates into distinguishable subsets of synchronized elements, and chimera states, where differentiated subsets of synchronized and desynchronized elements coexist, can emerge in networks of globally coupled robust-chaos oscillators. We describe the collective behavior of a model of globally coupled robust-chaos maps in terms of statistical quantities and characterize clusters, chimera states, synchronization, and incoherence on the space of parameters of the system. We employ the analogy between the local dynamics of a system of globally coupled maps with the response dynamics of a single driven map. We interpret the occurrence of clusters and chimeras in a globally coupled system of robust-chaos maps in terms of windows of periodicity and multistability induced by a drive on the local robust-chaos map. Our results show that robust-chaos dynamics does not limit the formation of cluster and chimera states in networks of coupled systems, as it had been previously conjectured.

中文翻译：

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鲁棒混沌动力学产生的嵌合体和簇

我们表明，动态聚类可以在全局耦合鲁棒混沌振荡器的网络中出现，其中系统隔离为可区分的同步元素子集，而嵌合体状态则包含同步和去同步元素的区分子集。我们根据统计量描述了全局耦合鲁棒-混沌映射模型的集体行为，并表征了系统参数空间上的簇，嵌合状态，同步和不连贯性。我们采用全局耦合地图系统的局部动力学与单个驱动地图的响应动力学之间的类比。我们根据局部鲁棒混沌图上的驱动力诱发的周期性和多稳定性窗口，解释了鲁棒混沌图全球耦合系统中簇和嵌合体的发生。我们的结果表明，鲁棒混沌动力学并不限制耦合系统网络中簇和嵌合体状态的形成，正如先前所推测的那样。