论文标题
异质库拉莫托模型中的嵌合体样行为：吸引人和排斥耦合之间的相互作用
Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between the attractive and repulsive coupling
论文作者
论文摘要
耦合非线性振荡器的合奏中的相互作用会引起各种集体行为。最令人着迷的是一个嵌合体状态，它表现出在空间上不同的连贯和不连贯元素的共存。了解受控实验或实际系统中新兴的嵌合体行为需要重点考虑异质网络模型的考虑。在这项研究中，我们在耦合强度的单调增加下探索了异质库拉莫托模型中的转变，并特别发现该系统在爆炸性同步期间表现出频率调节的嵌合体样模式。我们证明，这种特定的动态状态源于（进化）具有吸引力和排斥的亚群之间的相互作用。我们还表明，上述嵌合体状状态是在弱的非本地，小世界和稀疏的无尺度耦合下诱导的，并且由于大规模连接的出现而被全球耦合，强烈重新连接和密集的无标度网络抑制。
Interaction within an ensemble of coupled nonlinear oscillators induces a variety of collective behaviors. One of the most fascinating is a chimera state which manifests the coexistence of spatially distinct populations of coherent and incoherent elements. Understanding of the emergent chimera behavior in controlled experiments or real systems requires a focus on the consideration of heterogeneous network models. In this study, we explore the transitions in a heterogeneous Kuramoto model under the monotonical increase of the coupling strength and specifically find that this system exhibits a frequency-modulated chimera-like pattern during the explosive transition to synchronization. We demonstrate that this specific dynamical regime originates from the interplay between (the evolved) attractively and repulsively coupled subpopulations. We also show that the above mentioned chimera-like state is induced under weakly non-local, small-world and sparse scale-free coupling and suppressed in globally coupled, strongly rewired and dense scale-free networks due to the emergence of the large-scale connections.
