STRIPES OR SPOTS - NONLINEAR EFFECTS IN BIFURCATION OF REACTION-DIFFUSION EQUATIONS ON THE SQUARE
STRIPES OR SPOTS - NONLINEAR EFFECTS IN BIFURCATION OF REACTION-DIFFUSION EQUATIONS ON THE SQUARE
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DOI：
10.1098/rspa.1991.0100
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发表时间：
1991-08-08
期刊：
影响因子：
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通讯作者：
ERMENTROUT, B
中科院分区：
文献类型：
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作者：
ERMENTROUT, B
研究了二维反应扩散介质中空间模式的分叉问题。 条纹与斑点的选择取决于非线性项，并且不能从线性化模型中辨别出来。 没有二次项会导致条纹，但在大多数常见的模型中，二次项会导致斑点图案。 包括神经网络和更一般的模式形成方程的例子被认为是。
Bifurcation to spatial patterns in a two-dimensional reaction-diffusion medium is considered. The selection of stripes versus spots is shown to depend on the nonlinear terms and cannot be discerned from the linearized model. The absence of quadratic terms leads to stripes but in most common models quadratic terms will lead to spot patterns. Examples that include neural nets and more general pattern formation equations are considered.