Presentation 2003/10/14
Design of Bursting in a Discrete-Time Piecewise-Linear Neuron Model
Hiroto TANAKA, Toshimitsu USHIO,
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Abstract(in English) We consider a 2-dimensional discrete-time piecewise-linear neuron model in this report. This model exhibits bursting when a Hopf bifurcation of a pair of 2-periodic points occurs, and conditions for the bursting has been derived. In this report, we will propose a design method for a bursting neuron model with a specified average angular frequency and duty ratio. The proposed design method derives both parameters and initial conditions in the model. We also show effectivity of the proposed design method by simulation.
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Keyword(in English) discrete-time neuron model / piecewise-linear model / bursting / Hopf bifurcation / average angular frequency / duty ratio
Paper # NLP2003-93
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Committee NLP
Conference Date 2003/10/14(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Design of Bursting in a Discrete-Time Piecewise-Linear Neuron Model
Sub Title (in English)
Keyword(1) discrete-time neuron model
Keyword(2) piecewise-linear model
Keyword(3) bursting
Keyword(4) Hopf bifurcation
Keyword(5) average angular frequency
Keyword(6) duty ratio
1st Author's Name Hiroto TANAKA
1st Author's Affiliation Department of Systems Innovation, Graduate School of Engineering Science, Osaka University()
2nd Author's Name Toshimitsu USHIO
2nd Author's Affiliation Department of Systems Innovation, Graduate School of Engineering Science, Osaka University
Date 2003/10/14
Paper # NLP2003-93
Volume (vol) vol.103
Number (no) 375
Page pp.pp.-
#Pages 5
Date of Issue