1] Department of Physics and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China [2] School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA.
1] School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA [2] Lanzhou University, and Institute of Modern Physics of CAS, Lanzhou 730000, China.
Sci Rep. 2013 Dec 17;3:3522. doi: 10.1038/srep03522.
The remarkable phenomenon of chimera state in systems of non-locally coupled, identical oscillators has attracted a great deal of recent theoretical and experimental interests. In such a state, different groups of oscillators can exhibit characteristically distinct types of dynamical behaviors, in spite of identity of the oscillators. But how robust are chimera states against random perturbations to the structure of the underlying network? We address this fundamental issue by studying the effects of random removal of links on the probability for chimera states. Using direct numerical calculations and two independent theoretical approaches, we find that the likelihood of chimera state decreases with the probability of random-link removal. A striking finding is that, even when a large number of links are removed so that chimera states are deemed not possible, in the state space there are generally both coherent and incoherent regions. The regime of chimera state is a particular case in which the oscillators in the coherent region happen to be synchronized or phase-locked.
非局域耦合、相同振荡器系统中的嵌合体状态这一显著现象引起了近期大量的理论和实验兴趣。在这种状态下，尽管振荡器是相同的，但不同组的振荡器可以表现出明显不同类型的动力学行为。但是，嵌合体状态对基础网络结构的随机扰动有多稳健？我们通过研究随机去除连接对嵌合体状态出现概率的影响来解决这个基本问题。使用直接数值计算和两种独立的理论方法，我们发现嵌合体状态的可能性随着随机链路去除的概率而降低。一个惊人的发现是，即使去除了大量的链路，以至于认为嵌合体状态不可能存在，在状态空间中通常仍然存在相干和非相干区域。嵌合体状态的范围是这样一种情况，即相干区域中的振荡器碰巧是同步或锁定相位的。
