Scattering and separators in dissipative systems.
Scattering and separators in dissipative systems.
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耗散系统中的散射和分离器。
DOI：
10.1103/physreve.67.056210
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Kei
中科院分区：
文献类型：
--
作者：
Y. Nishiura;T. Teramoto;Kei
研究了耗散系统中粒子状图案的散射，特别关注在一维（1D）空间中行进脉冲强烈相互作用的正面碰撞时如何控制输入输出关系的问题。由于碰撞点处的图案变形较大，这仍然是一个悬而未决的问题。我们发现一种称为分离器的特殊类型的稳定或时间周期解及其稳定和不稳定流形引导轨道的交通流。一般来说，即使在一维情况下，这种分离器也非常不稳定，这会通过散射过程导致各种输入输出关系。我们通过使用格雷-斯科特模型和气体放电现象中出现的三组分反应扩散模型来说明分离器的普遍存在。
Scattering of particlelike patterns in dissipative systems is studied, especially we focus on the issue how the input-output relation is controlled at a head-on collision in the one-dimensional(1D) space where traveling pulses interact strongly. It remains an open problem due to the large deformation of patterns at a colliding point. We found that a special type of steady or time-periodic solutions called separators and their stable and unstable manifolds direct the traffic flow of orbits. Such separators are, in general, highly unstable even in the 1D case which causes a variety of input-output relations through the scattering process. We illustrate the ubiquity of separators by using the Gray-Scott model and a three-component reaction diffusion model arising in gas-discharge phenomena.