Rotational motion of traveling spots in dissipative systems
Rotational motion of traveling spots in dissipative systems
复制标题
耗散系统中行进点的旋转运动
DOI：
10.1103/physreve.80.046208
复制
发表时间：
2009
影响因子：
2.4
通讯作者：
Y.Nishiura
中科院分区：
文献类型：
--
作者：
T.Teramoto;K.Suzuki;Y.Nishiura
旋转运动的起源是什么？通过研究余维2奇点附近的空间局域点的动力学行为，给出了一个由漂移和花生不稳定性组成的答案。漂移不稳定性导致光斑形状的头-尾不对称性，而花生不稳定性意味着从圆形到花生形的变形。在一类三组分反应扩散系统中，通过组合这些不稳定性可以产生斑点的旋转运动。偏微分方程动力学可以通过将其投影到慢模式而简化为有限维动力学。这样的减少澄清了在2维中的运行点的旋转运动的分叉起源在密切类似的1：2模式相互作用的正常形式。
What is the origin of rotational motion? An answer is presented through the study of the dynamics for spatially localized spots near codimension 2 singularity consisting of drift and peanut instabilities. The drift instability causes a head-tail asymmetry in spot shape, and the peanut one implies a deformation from circular to peanut shape. Rotational motion of spots can be produced by combining these instabilities in a class of three-component reaction-diffusion systems. Partial differential equations dynamics can be reduced to a finite-dimensional one by projecting it to slow modes. Such a reduction clarifies the bifurcational origin of rotational motion of traveling spots in two dimensions in close analogy to the normal form of 1:2 mode interactions.