title: Fast reciprocal inhibition can synchronize bursting neurons.
abstract: We study a pair of endogenously bursting neurons with fast nondelayed inhibitory connections. We show that fast reciprocal inhibition, known to facilitate antiphase bursting, can stably synchronize bursting neurons. This contrasts with the classical view that reciprocal inhibition has to be slow or time delayed to establish in-phase synchronization. Through stability analysis, we reveal the emergent mechanism of in-phase synchronization and discuss its implications for various types of bursting neurons and networks.
authors.affiliation: Department of Mathematics and Statistics and Neuroscience Institute, Georgia State University, 30 Pryor Street, Atlanta, Georgia 30303, USA.
authors.forename: Sajiya
authors.initials: S
authors.lastname: Jalil
authors.forename: Igor
authors.initials: I
authors.lastname: Belykh
authors.forename: Andrey
authors.initials: A
authors.lastname: Shilnikov
mesh_terms: D004553:Electric Conductivity; D007700:Kinetics; D008954:Models, Biological; D009415:Nerve Net / Q000166:cytology / Q000502:physiology*; D009474:Neurons / Q000166:cytology / Q000502:physiology*