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We study collective dynamical behavior of active particles with topologicalinteractions and directional reversals. Surprising phenomena are shown toemerge as the interaction relaxation time is varied relative to the reversalrate, such as spontaneous formation of collective chiral states due to phasesynchronization, and collective directional reversals in the presence ofconfinement. The results have a direct relevance to modelling and understandingcollective reversals and synchronization phenomena in active matter.

Collective states of active matter with stochastic reversals: emergent chiral states and spontaneous current switching