TOPOLOGICAL AND PHENOMENOLOGICAL CLASSIFICATION OF BURSTING OSCILLATIONS

TOPOLOGICAL AND PHENOMENOLOGICAL CLASSIFICATION OF BURSTING OSCILLATIONS
复制标题

DOI:
10.1016/s0092-8240(05)81776-8
复制
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

文献摘要

被引文献

相似文献

我们描述了爆发振荡的分类方案,其中包含有关可兴奋介质中爆发的文献中发现的许多分类方案。这是 Rinzel 方案的扩展(在人口生物学数学主题中,施普林格,柏林,1987 年),将其置于通过二参数分叉图的一系列水平切割的背景中。我们用它来描述不同类型爆发的现象学特征,解决在实验环境中通常可用的信息量有限的情况下如何很好地表征爆发的问题。
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.