A Simple Chaotic Neuron Model : Stochastic Behavior of Neural Networks

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dc.creatorAydiner, Ekrem
dc.creatorVural, Adil M.
dc.creatorOzcelik, Bekir
dc.creatorKiymac, Kerim
dc.creatorTan, Uner
dc.date2002-11-04
dc.date.accessioned2026-07-07T02:48:04Z
dc.date.available2026-07-07T02:48:04Z
dc.descriptionWe have shortly reviewed the occurrence of the post-synaptic potentials between neurons, the relation between EEG and neuron dynamics, as well as methods of signal analysis. We supposed a simple stochastic model representing electrical activity of neuronal systems. The model is constructed using the Monte Carlo simulation technique. The results yielded EEG-like signals with their phase portraits in three-dimensional space. The Lyapunov exponent was positive, indicating a chaotic behavior. The correlation dimension of the EEG-like signals was found to be .92, which was smaller than those reported by others. It was concluded that this neuron model may provide valuable clues about the dynamic behavior of neural systems.
dc.description14 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0211068
dc.identifierhttp://arxiv.org/abs/cond-mat/0211068
dc.identifierIntern. J. Neuroscience Vol: 113, 607-619, 2003
dc.identifierdoi:10.1080/00207450390200035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20253
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectQuantitative Biology
dc.titleA Simple Chaotic Neuron Model : Stochastic Behavior of Neural Networks
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