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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/151142
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/151142

    Title: Uniform ultimate boundedness and approximate synchronization of coupled reaction-diffusion systems with parameter mismatches
    Authors: 曾睿彬
    Tseng, Jui-Pin
    Contributors: 應數系
    Keywords: Approximate synchronization;Uniform ultimate boundedness;Reaction-diffusion;Coupled system;Parameter mismatch
    Date: 2024-05
    Issue Date: 2024-05-08 10:48:34 (UTC+8)
    Abstract: We present a framework for studying the uniform ultimate boundedness and approximate synchronization of coupled systems. The individual subsystems of the coupled systems are described by general reaction-diffusion (RD) systems, and we account for parameter mismatches between individual subsystems while considering a general coupling scheme. We derive several criteria for the uniform ultimate boundedness of coupled RD systems under different assumptions regarding the properties of the reaction terms and coupling schemes. Using M-matrix theory and iterative methods, we establish an approximate synchronization criterion for the coupled RD systems. This criterion allows the coupled systems to synchronize with synchronization errors arising from parameter mismatches, and perfect synchronization is achieved when there are no parameter mismatches. Moreover, the criterion provides an estimated bound for the synchronization error, which decreases as the degree of inhomogeneity caused by parameter mismatches reduces. To demonstrate the effectiveness of our approaches, we apply our theories to the FitzHugh-Nagumo (FHN) neuron model.
    Relation: Journal of Mathematical Analysis and Applications, Vol.533, No.1, 127993
    Data Type: article
    DOI 連結: https://doi.org/10.1016/j.jmaa.2023.127993
    DOI: 10.1016/j.jmaa.2023.127993
    Appears in Collections:[應用數學系] 期刊論文

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