Department of Computing, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom.
Chaos. 2010 Mar;20(1):013108. doi: 10.1063/1.3305451.
A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which synchronization and desynchronization coexist. The oscillators are organized into communities, such that each oscillator is connected to all its peers in the same community and to a subset of the oscillators in other communities. Measures are introduced for quantifying metastability, the prevalence of chimera states, and the variety of such states a system generates. By simulation, it is shown that each of these measures is maximized when the phase lag of the model is close, but not equal, to pi/2. The relevance of the model to a number of fields is briefly discussed with particular emphasis on brain dynamics.
提出了一种具有相位滞后的对称耦合相同振荡器系统，该系统能够产生大量瞬态（亚稳态）“奇异吸引子”状态，其中同步和去同步共存。振荡器被组织成社区，使得每个振荡器与同一社区中的所有其他振荡器以及其他社区中的一部分振荡器相连。引入了一些措施来量化亚稳性、奇异吸引子状态的出现率以及系统产生的此类状态的多样性。通过模拟，当模型的相位滞后接近但不等于 pi/2 时，这些措施中的每一个都达到最大值。简要讨论了该模型与许多领域的相关性，特别强调了大脑动力学。
