title: Effects of axonal time delay on synchronization and wave formation in sparsely coupled neuronal oscillators.
abstract: We investigate the effects of axonal time delay when the neuronal oscillators are coupled by sparse and random connections. Using phase-reduced models with general coupling functions, we show that a small fraction of connections with time delay can destabilize synchronous states and induce near-regular wave states. An order parameter is introduced to characterize those states. We analyze the systems using mean-field-type approximation.
authors.affiliation: Department of Mathematics, University of Pittsburgh, Pennsylvania 15260, USA. taewook@pitt.edu
authors.forename: Tae-Wook
authors.initials: TW
authors.lastname: Ko
authors.forename: G Bard
authors.initials: GB
authors.lastname: Ermentrout