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Erschienen in:
2017 | OriginalPaper | Buchkapitel
16. Model Neurons of Bifurcation Type 3
verfasst von : Christoph Börgers
Erschienen in: An Introduction to Modeling Neuronal Dynamics
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Abstract
In neuronal models of bifurcation type 2 (Chapter 14), the possibility of stable rest is abolished via a Hopf bifurcation as I rises above I
c
, and the possibility of stable periodic firing is abolished via a collision of the stable limit cycle with an unstable periodic orbit as I falls below I
∗, with I
∗ < I
c
. In neuronal models of bifurcation type 1 (Chapter 12), there is no distinction between I
∗ and I
c
; stable rest is abolished as I rises above I
c
, and stable periodic firing is abolished as I falls below I
c
.