title: Topological and phenomenological classification of bursting oscillations.
abstract: We describe a classification scheme for bursting oscillations which encompasses many of those found in the literature on bursting in excitable media. This is an extension of the scheme of Rinzel (in Mathematical Topics in Population Biology, Springer, Berlin, 1987), put in the context of a sequence of horizontal cuts through a two-parameter bifurcation diagram. We use this to describe the phenomenological character of different types of bursting, addressing the issue of how well the bursting can be characterized given the limited amount of information often available in experimental settings.
authors.affiliation: National Institutes of Health, National Institutes of Diabetes and Digestive and Kidney Diseases, Mathematical Research Branch, Bethesda, MD 20814.
authors.forename: R
authors.initials: R
authors.lastname: Bertram
authors.forename: M J
authors.initials: MJ
authors.lastname: Butte
authors.forename: T
authors.initials: T
authors.lastname: Kiemel
authors.forename: A
authors.initials: A
authors.lastname: Sherman
mesh_terms: D000818:Animals; D004594:Electrophysiology; D007515:Islets of Langerhans / Q000502:physiology; D008433:Mathematics; D008954:Models, Biological; D009474:Neurons / Q000502:physiology; D009991:Oscillometry