Abstract

A coupled cell network is a type of ODE with structural constraints on the vector field, encoded in a directed graph, whose cells and arrows are labeled by types. The generated dynamics can model, for example, those of neural networks or ecological systems. In this talk, we show that the synchrony patterns of solutions are almost always balanced. This roughly means that for almost all coupled cell networks, synchronization of different cells are inherited from the structural symmetries imposed by the graph and the cell types. Any other synchronization, not directly imposed by the geometry of the graph and the cell types, cannot occur generically.

WebEx Link

https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m0f8b6abb02a2695c62da5a3eb54960ed

Organizer

Chueh-Hsin Chang (CCU), Jia-Yuan Dai (NTHU), Bo-Chih Huang (CCU), Chih-Chiang Huang (CCU), Yuya Tokuta (Kyoto U.), Chang-Hong Wu (NYCU)