2011/03/09 by Romain Joly · 1 citation
Computer Science · Mathematics · #Arrow #Cellular Automata and Applications #Component (thermodynamics) #Directed graph #Graph #Inverse #Neural Networks Stability and Synchronization #Node (physics) #Nonlinear Dynamics and Pattern Formation #Topology (electrical circuits) #math.DS
paper · pdf · doi:10.1088/0951-7715/25/3/657
arxiv created 2011/03/09 · openalex publication_date 2012/02/06 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A coupled cell network is a model for many situations such as food webs in ecosystems, cellular metabolism and economic networks. It consists in a directed graph G , each node (or cell) representing an agent of the network and each directed arrow representing which agent acts on which. It yields a system of differential equations , where the component i of f depends only on the cells x j ( t ) for which the arrow j → i exists in G . In this paper, we investigate the observation problems in coupled cell networks: can one deduce the behaviour of the whole network (oscillations, stabilization, etc) by observing only one of the cells? We show that the natural observation properties hold for almost all the interactions f .