Bertram R, Butte M J, Kiemel T, Sherman A
National Institutes of Health, National Institutes of Diabetes and Digestive and Kidney Diseases, Mathematical Research Branch, Bethesda, MD 20814.
Bull Math Biol. 1995 May;57(3):413-39. doi: 10.1007/BF02460633.
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.
我们描述了一种用于爆发性振荡的分类方案，该方案涵盖了兴奋性介质中爆发性相关文献中所发现的许多类型。这是林泽尔方案（见于《种群生物学中的数学主题》，施普林格出版社，柏林，1987年）的扩展，置于通过双参数分岔图的一系列水平切割的背景下。我们用此来描述不同类型爆发的现象学特征，探讨在实验环境中通常可获得的信息有限的情况下，爆发性能够被表征得有多好这一问题。
