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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/128609
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/128609


    Title: 具非線性連接之Hindmarsh-Rose神經元耦合系統的同步化研究
    Synchronization of nonlinearly coupled systems of Hindmarsh-Rose neurons with time delays
    Authors: 陳柏艾
    Chen, Bo-Ai
    Contributors: 曾睿彬
    Tseng, Jui-Pin
    陳柏艾
    Chen, Bo-Ai
    Keywords: 連接系統
    同步化
    延遲
    非線性連接
    Hindmarsh-Rose神經元
    Coupled system
    Synchronization
    Delay
    Nonlinear coupling
    Hindmarsh-Rose neuron
    Date: 2020
    Issue Date: 2020-02-05 17:59:32 (UTC+8)
    Abstract: 在此論文,我們研究Hindmarsh-Rose 神經元耦合系統的同步化,我們所考慮的模型之耦合結構可以相等的一般性。模型所具備的耦合函數可以是非線性的,耦合矩陣可容許非零的非對角元素能有不同的正負號,並且我們也考慮耦合時間延遲。藉由[33] 的同步化理論,我們推導出與時間延遲相關的同步化條件。我們提供兩個數值例子來表現本論文同步化理論之效用。
    In this thesis, we investigate the synchronization of coupled systems of Hindmarsh-Rose neurons. The coupling scheme under consideration is general. The coupling functions could be non-linear. The connection matrix could have non-zero and non-diagonal entries with different signs. We also consider the transmission delays in the coupling terms of the coupled systems. We derive a delay-dependent criterion that leads to the synchronization of coupled neurons. Two
    examples with numerical simulations are illustrated to show the effectiveness of theoretical result.
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    Description: 碩士
    國立政治大學
    應用數學系
    105751008
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0105751008
    Data Type: thesis
    DOI: 10.6814/NCCU202000086
    Appears in Collections:[應用數學系] 學位論文

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