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The behavior of the network consisting of two complex-valued Nagumo-Sato neurons

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Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003 (ICANN 2003, ICONIP 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2714))

Abstract

We previously proposed a complex-version of the Nagumo-Sato model of a single neuron and studied its behavior. Here we investigate the behavior of the network consisting of two such neurons. This is a preliminary report focusing on the fixed points of the dynamics of symmetric circuits, meaning that the two neurons have the same parameter values, and on some experimetal results showing interesting orbits. When the network is asymmetric, the analysis becomes quie due to the large number of parameters.

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Author information

Authors and Affiliations

  1. Tokyo Denki University School of Information Environment, Inzai, Chiba, 270-1382, Japan

    Iku Nemoto

Authors
  1. Iku Nemoto
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Editor information

Editors and Affiliations

  1. Bogazici University, Bebek, 34342, Istanbul, Turkey

    Okyay Kaynak  & Ethem Alpaydin  & 

  2. Laboratory of Computer and Information Science, Helsinki University of Technology, P.O.B. 5400, 02015, Finland

    Erkki Oja

  3. Department of Computer Science and Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong

    Lei Xu

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© 2003 Springer-Verlag Berlin Heidelberg

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Nemoto, I. (2003). The behavior of the network consisting of two complex-valued Nagumo-Sato neurons. In: Kaynak, O., Alpaydin, E., Oja, E., Xu, L. (eds) Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003. ICANN ICONIP 2003 2003. Lecture Notes in Computer Science, vol 2714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44989-2_116

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  • DOI: https://doi.org/10.1007/3-540-44989-2_116

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40408-8

  • Online ISBN: 978-3-540-44989-8

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