Coherent Structures in Scalar Feed-Forward Chains
Coherent Structures in Scalar Feed-Forward Chains
复制标题
标量前馈链中的相干结构
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Andrew Dickerson
中科院分区：
文献类型：
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作者：
C. Browne;Andrew Dickerson
研究了半无限和双无限标量前馈网络。我们发现，这些系统的时间动态是密切相关的间隔映射的空间动态，并显示如何使用此间隔映射来描述固定接口。除了固定的结构，我们表明，在有限的网络中的不稳定性的发病是密切相关的挫折入侵前线的出现。这些概念，然后应用到几个玩具模型，其细胞内的动态模仿小学稳态分岔的正常形式。
We study semi-infinite and bi-infinite scalar feed-forward networks. We find that the temporal dynamics of these systems is closely linked to the spatial dynamics of an associated interval map and show how this interval map may be used to describe stationary interfaces. Beyond stationary structures, we show that the onset of instabilities in finite networks is intimately related to the emergence of frustrated invasion fronts. These concepts are then applied to several toy models, whose intracellular dynamics mimic the normal form of elementary steady-state bifurcations.