Title: Network classification using ODE-equivalence
Abstract: It is known that non-isomorphic networks can generate the same space of admissible vector fields, once the cell phase spaces of the networks are identified in a suitable way. Those networks are called ODE-equivalent and previous results on network theory show that two networks are ODE-equivalent if and only if the two networks are linearly equivalent. In this talk we plan to show how to use ODE-equivalence to classify small excitatory-inhibitory networks. This is a joint work with M. Aguiar (Porto) and I. Stewart (Warwick, UK).
Bio: Dr Ana Paula Dias’ current position is Associate professor at the Mathematics Department of the Sciences Faculty of the University of Porto, Portugal. Education. Ana Dias received her Ph.D. in Mathematics from the University of Warwick at United Kingdom in 1998 and was awarded a Habilitation in Mathematics from University of Porto, Portugal in 2007. Main research of interest. Impact of the network/hypernetwork at the dynamics and bifurcations of the associated coupled cell systems (dynamical systems with form consistent with the network/hypernetwork).
Publications. Ana Dias is author of over 45 scientific papers in the area of Dynamical Systems. https://cmup.fc.up.pt/cmup/apdias/publications.html