Influence of boundaries on localized patterns.
Influence of boundaries on localized patterns.
复制标题
边界对局部模式的影响。
DOI：
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发表时间：
2009
影响因子：
8.6
通讯作者：
S. Chapman
中科院分区：
文献类型：
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作者：
G. Kozyreff;P. Assemat;S. Chapman
我们分析研究了边界对图灵不稳定性产生的遥远局部模式的影响。为此，我们使用具有任意边界条件的 Swift-Hohenberg 模型。我们发现这些局部结构的分叉图通常涉及四个同宿蛇形分支，而不是无限或周期性域的两个。其次，稳定的局部模式仅存在于离散位置，并且仅当其大小超过临界值时才存在于域的中心。第三，减小域大小会增加固定范围。
We analytically study the influence of boundaries on distant localized patterns generated by a Turing instability. To this end, we use the Swift-Hohenberg model with arbitrary boundary conditions. We find that the bifurcation diagram of these localized structures generally involves four homoclinic snaking branches, rather than two for infinite or periodic domains. Second, steady localized patterns only exist at discrete locations, and only at the center of the domain if their size exceeds a critical value. Third, reducing the domain size increases the pinning range.