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arXiv · 1612.05213

Projection blocks in homogeneous coupled cell networks

Eddie Nijholt·Bob Rink·Jan Sanders
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Abstract

We introduce a special subset of the graph of a homogeneous coupled cell network, called a projection block, and show that the network obtained from identifying this block to a single point can be used to understand the generic bifurcations of the original network. This technique is then used to describe the bifurcations in a generalized feed-forward network, in which the loop can contain more than one cell.

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Eddie Nijholt, Bob Rink, Jan Sanders. 2016-12-15. Projection blocks in homogeneous coupled cell networks. https://arxiv.org/abs/1612.05213

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