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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/149446
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/149446

    Title: Absolute stability and synchronization in second-order neural fields with conduction delays
    Authors: 曾睿彬
    Tseng, Jui-Pin;Shih, Chih-Wen;Wu, Chang-Hong
    Contributors: 應數系
    Keywords: neural field;absolute stability;synchronization;second-order model
    Date: 2023-06
    Issue Date: 2024-01-29 09:45:21 (UTC+8)
    Abstract: We consider a class of neural field models represented by a second-order nonlinear system of integro-differential equations with space-dependent delays. Such a system models interaction of N populations of neurons, each with a continuum description. We justify the existence and uniqueness of solution for the system in a suitable function space. Global existence and boundedness of solutions for the system are confirmed. Two methodologies, the comparison argument and sequential contracting, are developed to establish sufficient conditions for absolute stability and synchronization among different populations of the system. Finally, we present some numerical examples to demonstrate the theoretical results.
    Relation: SIAM Journal on Applied Dynamical Systems, Vol.22, No.2, pp.878-917
    Data Type: article
    DOI 連結: https://doi.org/10.1137/21M1441109
    DOI: 10.1137/21M1441109
    Appears in Collections:[應用數學系] 期刊論文

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