電気学会論文誌C(電子・情報・システム部門誌)
Online ISSN : 1348-8155
Print ISSN : 0385-4221
ISSN-L : 0385-4221
<生体医工学・福祉工学>
時間遅れを持つ皮質-視床モデルの実Ginzburg-Landau方程式への縮約
山口 郁博小川 雄太郎中尾 裕也神保 泰彦小谷 潔
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2012 年 132 巻 10 号 p. 1563-1574

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The corticothalamic Compact Model with time delay proposed by Kim and Robinson is successfully reduced to a real Ginzburg-Landau equation in the vicinity of pitchfork bifurcation point, using center manifold theory for functional differential equations and perturbation theory of week interactions. Broad agreement between the predictions with the reduced equation and corresponding numerical results with the original equation are confirmed in transient analysis of single-body and two-body problem, with emphasis that a “projection to the center subspace” is essential. Furthermore, analogies with Ginzburg-Landau theory of phase transition and with theory developed by Benayoun et al. of neural avalanches are pointed out.

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© 2012 電気学会
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