Journal article
Oscillations in a refractory neural net
Journal of mathematical biology, Vol.43(1), pp.81-100
07/2001
DOI: 10.1007/s002850100089
PMID: 12120869
Abstract
A functional differential equation that arises from the classic theory of neural networks is considered. As the length of the absolute refractory period is varied, there is, as shown here, a super-critical Hopf bifurcation. As the ratio of the refractory period to the time constant of the network increases, a novel relaxation oscillation occurs. Some approximations are made and the period of this oscillation is computed.
Details
- Title: Subtitle
- Oscillations in a refractory neural net
- Creators
- R Curtu - Department of Mathematics, University of Pittsburgh, PA 15260, USAB Ermentrout
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical biology, Vol.43(1), pp.81-100
- DOI
- 10.1007/s002850100089
- PMID
- 12120869
- NLM abbreviation
- J Math Biol
- ISSN
- 0303-6812
- eISSN
- 1432-1416
- Publisher
- Germany
- Language
- English
- Date published
- 07/2001
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9983985932402771
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