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强迫非局部耦合振荡器中的嵌合体伊辛壁

Chimera Ising walls in forced nonlocally coupled oscillators.

作者信息

Kawamura Yoji

机构信息

Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 2):056204. doi: 10.1103/PhysRevE.75.056204. Epub 2007 May 9.

DOI:10.1103/PhysRevE.75.056204
PMID:17677145
Abstract

Nonlocally coupled oscillator systems can exhibit an exotic spatiotemporal structure called a chimera, where the system splits into two groups of oscillators with sharp boundaries, one of which is phase locked and the other phase randomized. Two examples of chimera states are known: the first one appears in a ring of phase oscillators, and the second is associated with two-dimensional rotating spiral waves. In this paper, we report yet another example of the chimera state that is associated with the so-called Ising walls in one-dimensional spatially extended systems. This chimera state is exhibited by a nonlocally coupled complex Ginzburg-Landau equation with external forcing.

摘要

非局部耦合振子系统可以展现出一种名为“奇异子”的奇特时空结构,在这种结构中,系统会分裂成两组具有清晰边界的振子,其中一组是锁相的,另一组则是相位随机化的。已知有两种奇异子态的例子:第一种出现在相位振子环中,第二种与二维旋转螺旋波有关。在本文中,我们报告了奇异子态的另一个例子,它与一维空间扩展系统中的所谓伊辛壁有关。这种奇异子态由一个带有外部强迫的非局部耦合复金兹堡 - 朗道方程展现出来。

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