Two-dimensional wave patterns near a Hopf–Wave interaction in a chemical model

被引：0
|
作者：
B. Peña
M. Bestehorn
机构：
[1] Universidad de Zaragoza,Departamento Ingeniería Mecánica
[2] Lehrstuhl Theoretische Physik,undefined
[3] Statistische Physik und Nichtlineare Dynamik,undefined
[4] Brandenburgische Technische Universität Cottbus,undefined
来源：
The European Physical Journal Special Topics | 2007年 / 146卷
关键词：
Direct Numerical Simulation; Standing Wave; European Physical Journal Special Topic; Bifurcation Diagram; Wave Interaction;
D O I：
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学科分类号：
摘要：
The complex behavior of a reaction-diffusion system is investigated in two dimensions near a codimension-2 point between a Hopf and a Wave bifurcation with resonant critical modes. As a result of coupling of a (ω, 0)-mode with modes (ω, k), standing waves arise in an extended region of the control parameters. Near threshold they appear with hexagonal symmetry. The selected wavenumber and the competition of two different spatial scales as a function of the control parameter agree with results calculated from Floquet analysis.
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页码：301 / 311
页数：10
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