Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, have been identified in various systems and generalized to coupled nonidentical oscillators. It has been shown that strong heterogeneity in the frequencies of nonidentical oscillators might be harmful to chimera states. In this work, we consider a ring of nonlocally coupled bicomponent phase oscillators in which two types of oscillators are randomly distributed along the ring: some oscillators with natural frequency ω₁ and others with ω₂. In this model, the heterogeneity in frequency is measured by frequency mismatch ∣ω₁ − ω₂∣ between the oscillators in these two subpopulations. We report that the nonlocally coupled bicomponent phase oscillators allow for chimera states no matter how large the frequency mismatch is. The bicomponent oscillators are composed of two chimera states, one supported by oscillators with natural frequency ω₁ and the other by oscillators with natural frequency ω₂. The two chimera states in two subpopulations are synchronized at weak frequency mismatch, in which the coherent oscillators in them share similar mean phase velocity, and are desynchronized at large frequency mismatch, in which the coherent oscillators in different subpopulations have distinct mean phase velocities. The synchronization-desynchronization transition between chimera states in these two subpopulations is observed with the increase in the frequency mismatch. The observed phenomena are theoretically analyzed by passing to the continuum limit and using the Ott-Antonsen approach.

中文翻译：

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非局部耦合双分量相位振荡器中的纠缠嵌合体：从同步嵌合体到异步嵌合体

嵌合体状态，非局部耦合的相同动力单元中的对称性打破时空模式，已在各种系统中确定，并推广到耦合的不同振荡器。已经表明，不同振荡器频率上的强烈异质性可能对嵌合体状态有害。在这项工作中，我们考虑耦合非局域双组分相振荡器的环，其中两个类型的振荡器随机沿着环形分布：一些振荡器与固有频率ω ₁和其他与ω ₂。在此模型中，在频率上的异质性是由频率失配|ω测量₁ ω - ₂these在这两个子群中的振荡器之间。我们报告说，无论频率失配有多大，非局部耦合双组分相位振荡器都允许嵌合状态。双组分振荡器是由两个嵌合状态，一种通过与固有频率振荡器支持的ω ₁通过与固有频率的振荡器和其他ω ₂。两个子群中的两个嵌合状态在弱频率失配时同步，其中它们中的相干振荡器共享相似的平均相速度，而在大频率失配时失谐，其中不同子种群中的相干振荡器具有不同的平均相速度。随着频率失配的增加，观察到了这两个亚群中嵌合状态之间的同步-去同步转变。从理论上分析观察到的现象，通过达到连续极限并使用Ott-Antonsen方法。