Projection blocks in homogeneous coupled cell networks

2016/12/15 by Eddie Nijholt, Nijholt, Eddie, Bob Rink +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1612.05213

openalex publication_date 2016/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Homogeneous Coupled Cell Systems with High-dimensional Internal Dynamics

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