Transition between Tonic Spiking and Bursting in a Neuron Model via the Blue-Sky Catastrophe
- 31 January 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 94 (4) , 048101
- https://doi.org/10.1103/physrevlett.94.048101
Abstract
We study a continuous and reversible transition between periodic tonic spiking and bursting activities in a neuron model. It is described as the blue-sky catastrophe, which is a homoclinic bifurcation of a saddle-node periodic orbit of codimension one. This transition constitutes a biophysically plausible mechanism for the regulation of burst duration that increases with no bound like as the transition value is approached.
Keywords
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