Topological and phenomenological classification of bursting oscillations |
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| Authors: | Richard Bertram Manish J Butte Tim Kiemel Arthur Sherman |
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| Institution: | (1) National Institutes of Diabetes and Digestive and Kidney Diseases, Mathematical Research Branch, National Institutes of Health, BSA Building, Suite 350, 20814 Bethesda, MD, USA;(2) Brown University, Box G-8090, 02912 Providence, RI, USA;(3) Department of Zoology, University of Maryland, 20742 College Park, MD, USA |
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| 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 (inMathematical 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. |
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