Kapitaniak Tomasz, Kuzma Patrycja, Wojewoda Jerzy, Czolczynski Krzysztof, Maistrenko Yuri
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland.
1] Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland [2] Institute of Mathematics and Centre for Medical and Biotechnical Reserch, National Academy of Sciences of Ukraine, Tereshchenkivska st. 3, 01030 Kyiv, Ukraine.
Sci Rep. 2014 Sep 16;4:6379. doi: 10.1038/srep06379.
The phenomenon of chimera states in the systems of coupled, identical oscillators has attracted a great deal of recent theoretical and experimental interest. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Here, considering the coupled pendula, we find another pattern, the so-called imperfect chimera state, which is characterized by a certain number of oscillators which escape from the synchronized chimera's cluster or behave differently than most of uncorrelated pendula. The escaped elements oscillate with different average frequencies (Poincare rotation number). We show that imperfect chimera can be realized in simple experiments with mechanical oscillators, namely Huygens clock. The mathematical model of our experiment shows that the observed chimera states are controlled by elementary dynamical equations derived from Newton's laws that are ubiquitous in many physical and engineering systems.
耦合的相同振子系统中的嵌合体状态现象最近引起了大量的理论和实验关注。在这种状态下，尽管耦合是均匀的，但不同组的振子可以表现出共存的同步和非相干行为。在这里，考虑耦合摆，我们发现了另一种模式，即所谓的不完全嵌合体状态，其特征是一定数量的振子从同步嵌合体簇中逃逸或表现得与大多数不相关的摆不同。逃逸的元素以不同的平均频率（庞加莱旋转数）振荡。我们表明，不完全嵌合体可以在机械振子的简单实验中实现，即惠更斯钟。我们实验的数学模型表明，观察到的嵌合体状态由从牛顿定律推导出来的基本动力学方程控制，这些方程在许多物理和工程系统中普遍存在。
