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Model Neurons of Bifurcation Type 3

  • Christoph Börgers
Chapter
Part of the Texts in Applied Mathematics book series (TAM, volume 66)

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 .

Keywords

Hopf Bifurcation Model Neuron Sodium Current Stable Limit Cycle Stable Node 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Supplementary material

369722_1_En_16_MOESM1_ESM.zip (820 kb)
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Christoph Börgers
    • 1
  1. 1.Department of MathematicsTufts UniversityMedfordUSA

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