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Topological and phenomenological classification of bursting oscillations. (English) Zbl 0813.92010
Summary: 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 J. Rinzel [Lect. Notes Biomath. 71, 267-281 (1987; Zbl 0646.92004)], 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.

MSC:
92C30 Physiology (general)
92C20 Neural biology
92C05 Biophysics
Software:
AUTO
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