Jose Mujica (Vrije Universiteit Amsterdam)
Abstract: Networks of oscillatory units are an active area of research due to their connections with brain functions and the complex collective dynamic arising on these models. We consider a network of coupled oscillators which, in the fully symmetric case, supports a robust dissipative heteroclinic cycle between dynamically invariant sets with localised frequency synchrony. The heterocilinic connections involved in the cycle lie on invariant subspaces yield by the symmetries of the system and are caused by the presence of higher order interactions.
November 8th 2022, 14:00, in person (Byron beige, Byron building) and Zoom meeting