Title: Heteroclinic lifting in coupled cell systems
Abstract: The aim of this talk is to show how the simple robust Guckenheimer and Holmes heteroclinic network occurring in 3-dimensional symmetric systems of ordinary differential equations can be lifted to more complicated robust heteroclinic networks in higher-dimensional systems. This is a joint work with M. Aguiar (Porto) and H. Ruan (Hamburg).
Bio: Current position: Associate professor at the Mathematics Department of the Sciences Faculty of the University of Porto, Portugal.
Education: Ph.D. in Mathematics from the University of Warwick at United Kingdom in 1998 and 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).
Homepage: https://cmup.fc.up.pt/cmup/apdias/publications.html.
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