Coupled-cell networks are modeled on directed graphs. Certain coupled-cell networks are ODE-equivalent even if they are non-isomorphic. The minimality and quotient of these ODE-equivalent networks is discussed.

Abstract:

Many important real world networks can be modelled by dynamical systems on a graph and therefore coupled cell networks. It is known that non-isomorphic coupled cell networks can correspond to equivalent dynamics and these are called ODE-equivalent. In this talk we describe some recent results in the theory of coupled cell networks related with ODE-equivalence, minimality and quotients of coupled cell networks.

Keywords:

Coupled cell network; Directed Graphs.

Lecture #13232

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