EXPERIMENTAL STUDY OF STATIONARY TURING PATTERNS AND THEIR INTERACTION WITH TRAVELING WAVES IN A CHEMICAL SYSTEM

EXPERIMENTAL STUDY OF STATIONARY TURING PATTERNS AND THEIR INTERACTION WITH TRAVELING WAVES IN A CHEMICAL SYSTEM
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化学系统中稳态图灵图案及其与行波相互作用的实验研究

DOI:
10.1142/s0218127494000915
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发表时间:
1994
影响因子:
2.2
通讯作者:
E. Dulos
E. Dulos
中科院分区:
数学4区
文献类型:
--
作者:
P. Kepper;J. Perraud;B. Rudovics;E. Dulos

文献摘要

被引文献

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本文简要回顾了近年来在等温单相化学体系中观察到的图灵斑图。介绍了实验中所用的开放式反应器的基本原理。不同类型的一维,二维和三维对称性破缺反应扩散模式进行了讨论与反应器的几何尺寸和浓度斜坡中的图案化区域的本地化。我们还提出了一组新的时空结构的图灵(空间)和霍普夫(时间)不稳定性的相互作用。除此之外,这些相互作用导致准一维系统中的反对称波源和准二维系统中的时空不对称性。我们还报告了一个“细胞分裂”的增长机制的静态模式后,超临界变化的参数值超过发病的图灵不稳定性。
We give a brief review of recent observations of Turing patterns in an isothermal single-phase chemical system. The basic principles of open spatial reactors used in the experiments are described. Different types of one-, two- and three-dimensional symmetry breaking reaction-diffusion patterns are discussed in relation with the geometric dimensions of the reactors and with the localization of the patterned regions in the concentration ramps. We also present a set of new spatiotemporal structures resulting from the interaction of the Turing (spatial) and Hopf (temporal) instabilities. Among other things, these interactions lead to antisymmetric wave sources in quasi-one-dimensional systems and to spatiotemporal intermittency in quasi-two-dimensional systems. We also report on a “cell splitting” growth mechanism of stationary patterns after a supercritical change in parameter value beyond the onset of the Turing instability.