从螺旋波嵌合体到相位簇状态的转变。

Transition from spiral wave chimeras to phase cluster states.

作者信息

Totz Jan Frederik, Tinsley Mark R, Engel Harald, Showalter Kenneth

机构信息

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.

Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02142, USA.

出版信息

Sci Rep. 2020 May 8;10(1):7821. doi: 10.1038/s41598-020-64081-6.

DOI:10.1038/s41598-020-64081-6

PMID:32385296

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7210287/

Abstract

Photochemically coupled Belousov-Zhabotinsky micro-oscillators are studied in experiments and simulations. Generally good agreement between the experimental and simulated dynamical behavior is found, with spiral wave chimeras exhibited at small values of the time delay in the coupling between the oscillators, spiral wave core splitting at higher values, and phase cluster states replacing the spiral wave dynamics at the highest values of the time delay. Spiral wave chimera dynamics is exhibited experimentally for much of the time delay range, while spiral wave phase cluster states are exhibited more in the model simulations. In addition to comparing the experimental and simulation behavior, we explore the novel spiral wave phase cluster states and develop a mechanism for this new and unusual dynamical behavior.

摘要

对光化学耦合的贝洛索夫-扎博廷斯基微振荡器进行了实验和模拟研究。实验和模拟的动力学行为总体上吻合良好，在振荡器之间耦合的时间延迟较小时会出现螺旋波嵌合体，时间延迟较大时会出现螺旋波核心分裂，而在时间延迟最大时会出现相位簇状态取代螺旋波动力学。在大部分时间延迟范围内实验都展示出螺旋波嵌合体动力学，而螺旋波相位簇状态在模型模拟中出现得更多。除了比较实验和模拟行为外，我们还探索了新型螺旋波相位簇状态，并为这种新的异常动力学行为提出了一种机制。