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Slow switching in a population of delayed pulse-coupled oscillators
2003
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
We show that peculiar collective dynamics called slow switching arises in a population of leaky integrate-and-fire oscillators with delayed, all-to-all pulse-couplings. By considering the stability of cluster states and symmetry possessed by our model, we argue that saddle connections between a pair of the two-cluster states are formed under general conditions. Slow switching appears as a result of the system's approach to the saddle connections. It is also argued that such saddle connections
doi:10.1103/physreve.68.021919
pmid:14525018
fatcat:phksvkbv6jdurlxsp5ltggcgai