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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/156428


    Title: 生物同步化模型及其動態之研究
    Biological Synchronization Models and Their Dynamics
    Authors: 曾睿彬
    Contributors: 應數系
    Keywords: 耦合系統;時間延遲;同步化;微分方程
    Coupled systems;time-delay;synchronization;differential equation
    Date: 2019-01
    Issue Date: 2025-03-31 11:55:20 (UTC+8)
    Abstract: 同步化在大自然中是一種廣泛的自然現象。因此，耦合系統中的同步化已經吸引了大量 的研究興趣。目前文獻中有許多的工作研究各種的同步化模型與各種的同步化現象。目前文 獻中關於同步化的工作所考慮的模型，大多屬於常微分方程或時間延滯方程，如下然而，尚有許多的生物系統並無法以此模型來描述。比如，有些生物模型是集成微分方程或 偏微分方程，而對於這些模型的同步化研究相對很少。因此，我們希望藉由執行這個研究計 劃來多認識各樣不同的同步化模型，並具研究其同步化行為與其它動態行為。 本計劃申請人本年度提出二件研究計畫，而此計劃為第一優先。
    Synchronization is a natural phenomenon in nature. Accordingly, the topic of synchronization in coupled systems has drawn a great deal of research interests. There exist many investigations which consider various synchronization models and synchronization scenarios in the literature. Most of the models considered in the literature for synchronization problems are ordinary differential equations or time-delayed differential equations, as follows However, there are many biological systems which are not be described by such a model. For example, some biological models are integro-differential equations or partial differential equations, and the existing investigations of the synchronization of these models are relatively rare. Therefore, in this research project, we plan to study a variety of synchronization models, and investigate their synchronization behavior and other dynamics.
    Relation: 科技部, MOST106-2115-M004-003, 106.08-107.07
    Data Type: report
    Appears in Collections:[應用數學系] 國科會研究計畫

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