TOPOLOGICAL AND PHENOMENOLOGICAL CLASSIFICATION OF BURSTING OSCILLATIONS

TOPOLOGICAL AND PHENOMENOLOGICAL CLASSIFICATION OF BURSTING OSCILLATIONS
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DOI:
10.1007/bf02460633
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发表时间:
1995-05-01
影响因子:
3.5
通讯作者:
SHERMAN, A
SHERMAN, A
中科院分区:
数学4区
文献类型:
--
作者:
BERTRAM, R;BUTTE, MJ;SHERMAN, A

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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.