Reverberating activity in a neural network with distributed signal transmission delays

• 近江, 崇宏

  京都大学理学研究科

• 篠本, 滋

  京都大学理学研究科

抄録

It is known that an identical delay in all transmission lines can destabilize the macroscopic stationarity of a neural network, causing oscillation. We analyze the collective dynamics of a network whose transmission delays are distributed in time. Here, a neuron is modeled as a discrete-time threshold element that responds in an all-or-nothing manner to a linear sum of signals that arrive after delays assigned to individual transmission lines. Even though transmission delays are distributed in time, a whole network exhibits a single collective oscillation with a period close to the average transmission delay. The collective oscillation cannot only be a simple alternation of the consecutive firing and resting, but also arbitrarily sequenced series of firing and resting, reverberating in a certain period of time. Moreover, the system dynamics can be made quasiperiodic or chaotic by changing the distribution of delays.

収録刊行物

• Physical Review E

  Physical Review E 76 (5), 2007-11

  American Physical Society (APS)

詳細情報

• CRID: 1050001201695211776
• NII論文ID: 120003018622
• NII書誌ID: AA11558033
• ISSN: 15393755
• ISSN: 24700053
• ISSN: 24700045
• HANDLE: 2433/140398
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
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  • CiNii Articles