Synchronization phenomena in pulse-coupled networks driven by spike-train inputs

IEEE Transactions on Neural Networks
Hiroyuki Torikai, Toshimichi Saito

Abstract

We present a pulse-coupled network (PCN) of spiking oscillators (SOCs) which can be implemented as a simple electrical circuit. The SOC has a periodic reset level that can realize rich dynamics represented by chaotic spike-trains. Applying a spike-train input, the PCN can exhibit the following interesting phenomena. 1) Each SOC synchronizes with a part of the input without overlapping, i.e., the input is decomposed. 2) Some SOCs synchronize with a part of the input with overlapping, i.e., the input is decomposed and the SOCs are clustered. The PCN has multiple synchronization phenomena and exhibits one of them depending on the initial state. We clarify the numbers of the synchronization phenomena and the parameter regions in which these phenomena can be observed. Also stability of the synchronization phenomena is clarified. Presenting a simple test circuit, typical phenomena are confirmed experimentally.

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Citations

Aug 11, 2007·Neural Networks : the Official Journal of the International Neural Network Society·Takashi Kanamaru
Aug 10, 2005·Neural Networks : the Official Journal of the International Neural Network Society·Yoshio Kon'noHiroyuki Torikai
Feb 15, 2008·Neural Networks : the Official Journal of the International Neural Network Society·Hiroyuki TorikaiToshimichi Saito

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