Bifurcation of Burst Response in Amari-Hopfield Neuron Pair with a Periodic External Force

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  • 周期外力を付加したAmari-Hopfieldニューロン対におけるバースト応答の分岐
  • シュウキ ガイリョク オ フカ シタ Amari Hopfield ニューロン ツイ ニ オケル バースト オウトウ ノ ブンキ

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Abstract

To clarify the mechanism of the information processing in the brain of living organisms, and investigate information coding of a neuron, a reasonable mathematical model of neuron is nedded. Various models have been proposed and analyzed for now, some relationship between bursting response and bifurcations. In this paper, we propose a simple and effective model to realize bursting phenomena in Amari-Hopfield coupled neurons. In this model, we can constructively design desirable bursting responses. Bifurcation diagrams and some analytical results are given, and a basic design scheme to generate a bursting is shown.

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