Projection blocks in homogeneous coupled cell networks
Dynamical Systems
2016-12-16 v1
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.
Cite
@article{arxiv.1612.05213,
title = {Projection blocks in homogeneous coupled cell networks},
author = {Eddie Nijholt and Bob Rink and Jan Sanders},
journal= {arXiv preprint arXiv:1612.05213},
year = {2016}
}
Comments
26 pages