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Bifurcation of burst response in an Amari‐Hopfield neuron pair with a periodic external force
Authors:Shigeki Tsuji  Tetsushi Ueta  Hiroshi Kawakami  Kazuyuki Aihara
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 a neuron is needed. 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. © 2003 Wiley Periodicals, Inc. Electr Eng Jpn, 146(2): 43–53, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10217
Keywords:excitatory‐inhibitory neuron pair model  bifurcation  a periodic external force  burst response
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