Heteroclinic switching between chimeras

Functional oscillator networks, such as neuronal networks in the brain,
exhibit switching between metastable states involving many oscillators. We give
exact results how such global dynamics can arise in paradigmatic phase
oscillator networks: higher-order network interaction gives rise to metastable
chimeras - localized frequency synchrony patterns - which are joined by
heteroclinic connections. Moreover, we illuminate the mechanisms that underly
the switching dynamics in these experimentally accessible networks.