| Abstract | A coupled cell system can be seen as a set of individual dynamical systems (the cells) with interactions between them. Therefore, every coupled cell system is a network, which are widely used by biologists to model dynamical behaviour of multicomponent systems. We discuss that every network, when restricted to a flow invariant subspace defined by equality of certain cell coordinates, is associated with a quotient network. Also, we describe a general method to construct coupled cell networks admitting a given a (quotient) network. We furher investigate the impact of a generic codimension-one synchrony-breaking bifurcation from a synchronous equilibrium, occurring in the quotient network, for the different networks having it as a quotient. |
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