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[Author] Masanao SHIMAZAKI(2hit)

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  • Master-Slave Synchronization of Pulse-Coupled Bifurcating Neurons

    Hiroyuki TORIKAI  Masanao SHIMAZAKI  Toshimichi SAITO  

     
    PAPER-Neural Networks and Bioengineering

      Vol:
    E87-A No:3
      Page(s):
    740-747

    We present master-slave pulse-coupled bifurcating neurons having refractoriness. The system can exhibit various phenomena, e. g. , periodic and chaotic in-phase synchronizations, and periodic out-of-phase synchronization. We clarify local stabilities of the phenomena and a sufficient condition for the in-phase synchronization. It is suggested that bifurcations of the synchronization phenomena may relate to detection of a master parameter, and the refractoriness may relate to control of the detection accuracy. Using a simple test circuit, typical phenomena are verified in the laboratory.

  • Synchronization and Window Map from Pulse-Coupled Relaxation Oscillators

    Masanao SHIMAZAKI  Hiroyuki TORIKAI  Toshimichi SAITO  

     
    PAPER-Nonlinear Problems

      Vol:
    E87-A No:9
      Page(s):
    2426-2431

    We present mutually pulse-coupled two relaxation oscillators having refractoriness. The system can be implemented by a simple electrical circuit, and various periodic synchronization phenomena can be observed experimentally. The phenomena are characterized by a ratio of phase locking. Using a return map having a trapping window, the ratio can be analyzed in a parameter subspace rigorously. We then clarify effects of the refractoriness on the pulse coding ability of the system.