Using semigroups to study coupled cell networks

Series: 
Mathematical Biology and Ecology Seminar
Wednesday, April 24, 2013 - 11:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Vrije Univ. Amsterdam
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.