A simple chaotic neuron model: Stochastic behavior of neural networks

Aydiner E., Vural A., Ozcelik B., Kiymac K.

INTERNATIONAL JOURNAL OF NEUROSCIENCE, cilt.113, sa.5, ss.607-619, 2003 (SCI-Expanded) identifier identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 113 Sayı: 5
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1080/00207450390200035
  • Dergi Adı: INTERNATIONAL JOURNAL OF NEUROSCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.607-619
  • İstanbul Üniversitesi Adresli: Hayır

Özet

We have briefly reviewed the occurrence of the post-synaptic potentials between neurons, the relationship between EEG and neuron dynamics, as well as methods of signal analysis. We propose 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 chaotic behavior. The correlation of the EEG-like signals was .92, smaller than those reported by others. It was concluded that this neuron model may provide valuable clues about the dynamic behavior of neural systems.