Coherent Structures in Scalar Feed-Forward Chains
نویسندگان
چکیده
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.
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