三角形振子网络上的双稳态嵌合吸引子
Bistable Chimera Attractors on a Triangular Network of Oscillator Populations
摘要：
本文研究了由三个频率相同的耦合相位振荡器组成的三角形网络。种群之间的相互作用是非局部的，也就是说所有的振子都是相互耦合的，但与相邻种群中的振子的耦合要比与自己种群中的振子的耦合弱。这个三角形网络是连续振子环的最简单离散化。然而，它显示出一个意想不到的不同的行为：在连续的振荡器环中观察到的孤独稳定的嵌合体相比，我们发现，这个系统表现出\emph{two coexisting stable chimeras}。这两个嵌合体，像往常一样，通过鞍结分叉出生。随着耦合在本质上变得越来越局部化，它们通过霍普夫分叉失去稳定性，从而产生呼吸嵌合体，而呼吸嵌合体又通过同宿分叉被破坏。值得注意的是，当我们进一步增加耦合的局部性时，其中一个嵌合体通过这种情况的逆转重新出现，直到它通过另一个鞍结分叉被消灭。
英文摘要：
We study a triangular network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but more weakly to those in neighboring populations than to those in their own population. This triangular network is the simplest discretization of a continuous ring of oscillators. Yet it displays an unexpectedly different behavior: in contrast to the lone stable chimera observed in continuous rings of oscillators, we find that this system exhibits \emph{two coexisting stable chimeras}. Both chimeras are, as usual, born through a saddle node bifurcation. As the coupling becomes increasingly local in nature they lose stability through a Hopf bifurcation, giving rise to breathing chimeras, which in turn get destroyed through a homoclinic bifurcation. Remarkably, one of the chimeras reemerges by a reversal of this scenario as we further increase the locality of the coupling, until it is annihilated through another saddle node bifurcation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
