Periodic Responses of a Hysteresis Neuron Model

Simone GARDELLA  Ryoichi HASHIMOTO  Tohru KUMAGAI  Mitsuo WADA  

IEICE TRANSACTIONS on Information and Systems   Vol.E76-D   No.3   pp.368-376
Publication Date: 1993/03/25
Online ISSN: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Bio-Cybernetics
biocybernetics and neurocomputing,  discrete-time neuron model,  hysteresis,  oscillatory dynamics,  binary output,  refractory period,  

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A discrete-time neuron model having a refractory period and containing a binary hysteresis output function is introduced. A detailed mathematical analysis of the output response is carried out and the necessary and sufficient condition which a sequence must satisfy in order to be designated as a periodic response of the neuron model under a constant or periodic stimulation is given.