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. 1991;29(5):405-23.
doi: 10.1007/BF00160469.

On the dynamics of bursting systems

J C Alexander  1 , D Y Cai
Affiliations

On the dynamics of bursting systems

J C Alexander et al. J Math Biol. 1991.

Abstract

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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References

    1. J Math Biol. 1981 Jan;11(1):15-32 - PubMed
    1. Bull Math Biol. 1985;47(1):1-21 - PubMed
    1. Biophys J. 1978 Mar;21(3):217-37 - PubMed
    1. Proc R Soc Lond B Biol Sci. 1984 Mar 22;221(1222):87-102 - PubMed
    1. Bull Math Biol. 1979;41(5):665-86 - PubMed

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