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On the dynamics of bursting systems

โœ Scribed by J. C. Alexander; Da-Yong Cai

Publisher
Springer
Year
1991
Tongue
English
Weight
939 KB
Volume
29
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

The dynamics of three-variable models of bursting are studied. It is shown that under certain conditions, the dynamics on the attractor can be essentially reduced to two dimensions. The salient dynamics on the attractor can thus be completely described by the return map of a section which is a logistic interval map. Two specific bursting models from the literature are shown to fit in the general framework which is developed. Bifurcation of the full system for one case in investigated and the dynamical behavior on the attractor is shown to depend on the position of a certain nullcline.

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