当前位置: X-MOL 学术Phys. Rev. X › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Critical switching in globally attractive chimeras
Physical Review X ( IF 11.6 ) Pub Date : 
Yuanzhao Zhang, Zachary G. Nicolaou, Joseph D. Hart, Rajarshi Roy, and Adilson E. Motter

We report on a new type of chimera state that attracts almost all initial conditions and exhibits {power-law} switching behavior in networks of {coupled} oscillators. Such {} consist of two symmetric {configurations, which we refer to as} subchimeras, in which one cluster is synchronized and the other is incoherent. Despite each subchimera being linearly stable, switching chimeras are extremely sensitive to noise: arbitrarily small noise triggers and sustains persistent switching between the two symmetric subchimeras. The average switching frequency increases as a power law with the noise intensity, which is in contrast with the exponential scaling observed in typical stochastic transitions. Rigorous numerical analysis reveals that the {power-law} switching behavior originates from intermingled basins of attraction associated with the two subchimeras, which in turn are induced by chaos and symmetry in the system. The theoretical results are supported by experiments on coupled optoelectronic oscillators, which demonstrate the generality and robustness of switching chimeras.

中文翻译:

全球有吸引力的嵌合体的关键转换

我们报告了一种新型的嵌合体状态,该状态吸引了几乎所有初始条件,并在{耦合}振荡器的网络中表现出{幂定律}的开关行为。这样的{}由两个对称{配置,我们称为}子嵌合体组成,其中一个群集是同步的,另一个群集是不连贯的。尽管每个子嵌合体线性稳定,但切换嵌合体对噪声极为敏感:任意小的噪声触发并维持两个对称子嵌合体之间的持续切换。平均开关频率随着功率强度的增加而随噪声强度的增加而增加,这与典型的随机跃迁中观察到的指数标度相反。严格的数值分析表明,{幂律}转换行为源自与两个子嵌合体相关的相互吸引的盆地,而后者又是由系统中的混乱和对称性引起的。理论结果得到耦合光电振荡器实验的支持,这些实验证明了开关嵌合体的普遍性和鲁棒性。
更新日期:2020-01-22
down
wechat
bug