Department of Physics, University of South Africa, Private Bag X6, Florida, 1710, South Africa.
Department of Physics, Institute for Advanced Studies in Basic Sciences, Zanjan, 45195-1159, Iran.
Sci Rep. 2018 Jan 30;8(1):1830. doi: 10.1038/s41598-018-20323-2.
Chimera states are spatiotemporal segregations - stably coexisting coherent and incoherent groups - that can occur in systems of identical phase oscillators. Here we demonstrate that this remarkable phenomenon can also be understood in terms of Pecora and Carroll's drive-response theory. By calculating the conditional Lyapunov exponents, we show that the incoherent group acts to synchronize the coherent group; the latter playing the role of a response. We also compare the distributions of finite-time conditional Lyapunov exponents to the characteristic distribution that was reported previously for chimera states. The present analysis provides a unifying explanation of the inherently frustrated dynamics that gives rise to chimera states.
嵌合体状态是时空分离的——稳定共存的相干和非相干群体——这种现象可以在相同相位振荡器的系统中发生。在这里，我们证明了这个显著的现象也可以用 Pecora 和 Carroll 的驱动-响应理论来理解。通过计算条件李亚普诺夫指数，我们表明非相干群体作用于使相干群体同步；后者起着响应的作用。我们还将有限时间条件李亚普诺夫指数的分布与以前报道的嵌合体状态的特征分布进行了比较。目前的分析为导致嵌合体状态的固有受挫动力学提供了一个统一的解释。
