Using semigroups to study coupled cell networks

Mathematical Biology Seminar
Wednesday, April 24, 2013 - 11:05am for 1 hour (actually 50 minutes)
Skiles 006
B.W. Rink – Vrije Univ. Amsterdam
Leonid Bunimovich
Abstract: Dynamical systems with a coupled cell network structure arise in applications that range from statistical mechanics and electrical circuits to neural networks, systems biology, power grids and the world wide web. A network structure can have a strong impact on the behaviour of a dynamical system. For example, it has been observed that networks can robustly exhibit (partial) synchronisation, multiple eigenvalues and degenerate bifurcations. In this talk I will explain how semigroups and their representations can be used to understand and predict these phenomena. As an application of our theory, I will discuss how a simple feed-forward motif can act as an amplifier. This is joint work with Jan Sanders.