| Speaker: Claire Postlethwaite Affiliation: The University of Auckland Time: 2 pm Thursday, 12 August, 2021 Location: 303-310 |
| Networks are, of course, ubiquitous, and appear in virtually every scientific field. A particular feature of interest, both from the dynamical and application viewpoint, is that the architecture of the (physical) network may force invariant subspaces supporting heteroclinic cycles and networks (in phase space), which would be structurally unstable in otherwise generic systems. One consequence of the existence of dynamically stable heteroclinic cycles is a lack of convergence of long-term averages (non-ergodic behaviour) at nodes of the network. In this seminar, I will discuss some results on symmetric ring networks, and make some conjectures about the extent to which this phenomenon is typical. This is joint work with Dr Rob Sturman from the University of Leeds. |