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Theoretical Analysis of Various Synchronizations in Pulse-Coupled Digital Spiking Neurons

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Neural Information Processing. Theory and Algorithms (ICONIP 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6443))

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Abstract

A digital spiking neuron is a wired system of shift registers that can mimic nonlinear dynamics of simplified spiking neuron models. In this paper, we present a novel pulse-coupled system of the digital spiking neurons. The coupled neurons can exhibit various pseudo-periodic synchronizations, non-periodic synchronizations, and related bifurcations. We derive theoretical parameter conditions that guarantee occurrence of typical synchronization phenomena. Also, the theoretical results are validated by numerical simulations.

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Author information

Authors and Affiliations

  1. Graduate School of Engineering Science, Osaka University, 1-3, Machikaneyama, Toyonaka, Osaka, Japan

    Hirofumi Ijichi & Hiroyuki Torikai

Authors
  1. Hirofumi Ijichi
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  2. Hiroyuki Torikai
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Editor information

Editors and Affiliations

  1. School of Information Technology, Murdoch University, 6150, Murdoch, WA, Australia

    Kok Wai Wong

  2. The Australian National University, 0200, Canberra, ACT, Australia

    B. Sumudu U. Mendis

  3. School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, Northfields Avenue, 2522, P.O. Box, Wollongong, NSW, Australia

    Abdesselam Bouzerdoum

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Ijichi, H., Torikai, H. (2010). Theoretical Analysis of Various Synchronizations in Pulse-Coupled Digital Spiking Neurons. In: Wong, K.W., Mendis, B.S.U., Bouzerdoum, A. (eds) Neural Information Processing. Theory and Algorithms. ICONIP 2010. Lecture Notes in Computer Science, vol 6443. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17537-4_14

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  • DOI: https://doi.org/10.1007/978-3-642-17537-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17536-7

  • Online ISBN: 978-3-642-17537-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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