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  • 學位論文

搖擺桿:建模與模擬

Swinging Sticks: Modeling and Simulation

指導教授 : 陳樹杰

摘要


搖擺桿是一個不規則的旋轉運動系統。在這篇論文中,建立幾個搖擺 桿的模型,並在位相空間中模擬桿子的混沌運動。

關鍵字

搖擺桿 混沌 平衡點 單擺 雙擺

並列摘要


The swinging sticks is a system with irregular rotational motions. In this thesis, several models of swinging sticks are formulated and the simulations show chaotic motions of the sticks.

並列關鍵字

Swinging Sricks Melnikov chaos equilibrium stability pendulum

參考文獻


[1] Arnold, V.I., Mathematical Methods of Classical Mechanics, Springer-Verlag, (1989).
[2] Chetaev, N.G., The stability of Motion, Pergamon Press, (1961).
[3] Dullin, H.R., Melnikov's method applied to the double pendulum, Z. Phys. B93, 521-528, (1994).
[5] Marsdan, J.E., and Ratiu,T.S., Introduction to Mechanics and Symmetry, Springer-Verlag,
[6] Perko, L., Dierential Equations and Dynamical Systems, Springer-Verlag, (1996).

被引用紀錄


曾定祁(2007)。台灣建築產業網路行銷策略之研究〔碩士論文,淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2007.00559

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