Limit cycles in the presence of convection: a traveling wave analysis.
Limit cycles in the presence of convection: a traveling wave analysis.
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对流存在下的极限环：行波分析。
DOI：
10.1103/physreve.76.036216
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Norbury,J
中科院分区：
文献类型：
--
作者：
Flach,EH;Schnell,S;Norbury,J
考虑一类具有极限环反应函数的扩散模型.在无界域中，扩散将图案从源向外扩散。对流增加了反应扩散系统的不稳定性。这种不稳定性的结果是容易创造一种模式。我们选择的Lambda-Omega反应函数的简单极限环。我们把因变量变换成极坐标形式.由此，我们考虑图案的初始化以近似行波。我们进行了数值实验来验证我们的分析。这些证实了分析的前提，即可以用行波来模拟起爆。此外，分析产生了一个很好的估计的数值结果。最重要的是，我们确认该模式由两种不同类型组成。
We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads the pattern outwards from the source. Convection adds instability to the reaction-diffusion system. The result of this instability is a readiness to create a pattern. We choose the Lambda-Omega reaction functions for their simple limit cycle. We carry out a transformation of the dependent variables into polar form. From this we consider the initiation of the pattern to approximate a traveling wave. We carry out numerical experiments to test our analysis. These confirm the premise of the analysis, that the initiation can be modeled by a traveling wave. Furthermore, the analysis produces a good estimate of the numerical results. Most significantly, we confirm that the pattern consists of two different types.