种植模式

摘要：

图案形成系统允许丰富的状态，其中图案的波长和取向变化，并且缺陷破坏单晶区域的片。模式的增长一直被认为是一种强选择机制。在这里，我们提出了最近的和新的结果选择的图案的情况下，图案形成区域扩展的时间。丰富的现象大致组织在分叉图，描绘波数选定的结晶状态的增长率的函数。我们展示了一套广泛的数学和数值工具如何帮助揭示这个选择过程的复杂性。

英文摘要：

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns has long been recognized as a strong selection mechanism. We present here recent and new results on the selection of patterns in situations where the pattern-forming region expands in time. The wealth of phenomena is roughly organized in bifurcation diagrams that depict wavenumbers of selected crystalline states as functions of growth rates. We show how a broad set of mathematical and numerical tools can help shed light into the complexity of this selection process.

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