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二维可激发化学振荡器阵列中的阵列增强相干共振与相位同步

Array-enhanced coherence resonance and phase synchronization in a two-dimensional array of excitable chemical oscillators.

作者信息

Okano Taiji, Kitagawa Akane, Miyakawa Kenji

机构信息

Department of Applied Physics, Fukuoka University, Fukuoka 814-0180, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Oct;76(4 Pt 2):046201. doi: 10.1103/PhysRevE.76.046201. Epub 2007 Oct 1.

Abstract

We investigate the spatiotemporal dynamics in a two-dimensional array of excitable elements subjected to independent external noise, where elements are prepared by localizing the Belousov-Zhabotinsky reaction in a gel matrix. We experimentally demonstrate that the coherence of noise-induced firings is improved with increasing the array size, i.e., the occurrence of array-enhanced coherence resonance. Furthermore, it is found that synchronization among oscillators which are barely coupled can be achieved via coherence resonance. Experimental observations are approximately reproduced in a numerical simulation with a forced Oregonator reaction-diffusion model.

摘要

我们研究了在受到独立外部噪声影响的二维可激发元件阵列中的时空动力学,其中元件是通过将贝洛索夫 - 扎博廷斯基反应定位在凝胶基质中制备的。我们通过实验证明,随着阵列尺寸的增加,噪声诱导放电的相干性得到改善,即出现了阵列增强的相干共振。此外,还发现通过相干共振可以实现几乎不耦合的振荡器之间的同步。在使用强迫俄勒冈振子反应 - 扩散模型的数值模拟中,实验观测结果得到了近似再现。

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