渾沌與鳥群行為控制，渾沌廣義及交織同步與超渾沌

Chaos and Boids Control, Generalized, Symplectic Synchronization and Hyperchaos of Chaotic Systems

陳聰文(Tsung-Wen Chen)

指導教授 ： 戈正銘

國立交通大學/工學院/機械工程系所/碩士(2009年)

https://doi.org/10.6842/NCTU.2009.00011

摘要

本篇論文以相圖、龐卡萊映射圖、Lyapunov 指數、分歧圖以及參數圖等數值方法研究慣性測速器系統的渾沌現象。對此系統研究應用GYC部分區域穩定理論來研究系統的廣義渾沌同步和渾沌控制。以非自治慣性測速器系統來模擬鳥群的渾沌行為。此外，將探討Lorenz 系統以Bessel 函數為參數的渾沌及超渾沌行為。最後透過非線性方法來研究非自治系統的交織同步。在以上研究中，皆可由相圖和時間歷程圖得到驗證。

關鍵字

渾沌

並列摘要

In this thesis, the chaotic behavior in an inertial tachometer system is studied by phase portraits, time histories, Poincar

並列關鍵字

chaos

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