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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/156429


    Title: 一類耦合非恆等系統的耗散性與同步化分析
    Dissipativeness and Synchronization of a Class of Coupled Non-Identical Systems
    Authors: 曾睿彬
    Contributors: 應數系
    Keywords: 複雜網路;時間延遲;耗散性;同步化
    Complex network;Time delay;Dissipativenes;Synchronization
    Date: 2018-02
    Issue Date: 2025-03-31 11:55:21 (UTC+8)
    Abstract: 由一群耦合動態系統所組成的複雜網路在近幾十年來，已被廣泛地利用來模擬許多在科學 領域、工程領域與社會領域等領域的複雜系統。因此，關於複雜網路的研究近幾十年來已經 受到了相當大的重視。而時間延遲普遍存在於許多天然和人工系統，因此，在許多的研究工 作中，已將時間延遲納入複雜網路的模型之中。在關於耦合動態系統之全局行為的研究中， 耦合動態系統的耗散性是一個相當重要、基本的研究工作。另一方面，在許多的生物系統和 物理系統中，同步化行為是相當重要並且常見的現象。因此，複雜網路的同步化研究已經在 工程，生物和物理領域吸引了相當多的的研究興趣。而在這些研究工作中，複雜網絡的集群 同步化在最近幾年已經引起相當多的研究興趣。總結目前文獻中關於集群同步化的工作，我 們可發現多會大部分所考慮都是線性耦合系統或不具時間延遲的系統。就我們所知，對於具 時間延遲之非線性耦合異構網路的全局集群同步化研究目前仍是相當缺乏。因此，在這個研 究計劃中，我們想進行具時間延遲之非線性耦合異構網路的耗散性與全局集群同步化研究。 本計劃申請人本年度提出二件研究計晝，而此計劃為第一優先。
    Complex networks of coupled nodes, in which each node is a dynamical system, have been widely exploited to model many complex systems in sciences, engineering and society, and have attracted much attention in recent decades. Time delays are ubiquitous in many natural and artificial systems. Thus, such delays have been incorporated into network modeling. Dissipativeness which implies the existence of globally attracting set, is a basic and important property imposed on the considered systems in the study of global asymptotic behaviors. On the other hand, synchronization is an important and common phenomenon in various biological and physical systems. Consequently, synchronization of complex networks has drawn a wide range of research interest in number of research areas such a engineering, biology, and physics. Cluster synchronization of complex networks has attracted considerable research interest in the recent years. Summarizing the existing works in the literature, many of the systems considered for tackling cluster synchronization problems exhibit linear couplings with delays or without delays. To the best of our knowledge, an approach for global cluster synchronization of nonlinearly coupled systems with coupling delays is still in demand. Thus, in this project, we want to investigate the dissipativeness and global cluster synchronization of nonlinearly coupled non-identical systems with delays.
    Relation: 科技部, MOST105-2115-M004-002, 105.08-106.07
    Data Type: report
    Appears in Collections:[Department of Mathematical Sciences] NSC Projects

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