研究生: |
林俊男 Chun-Nan Lin |
---|---|
論文名稱: |
連結邏輯斯締系統的超混沌同步化研究 Hyper Chaotic Synchronization of Coupled Logistic Systems |
指導教授: |
林文偉
Wen-Wei Lin |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2005 |
畢業學年度: | 94 |
語文別: | 英文 |
論文頁數: | 71 |
中文關鍵詞: | 連結邏輯斯締系統 、達到超混沌現象的方法 、同步化 、李昂普諾夫指數 |
外文關鍵詞: | coupled logistic systems, methods of routes to hyper chaos, synchronization, Lyapunov exponents |
相關次數: | 點閱:2 下載:0 |
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在連結邏輯斯締系統中,兩個通常用來滿足產生超混沌現象的條件將被提出來的. 在連結邏輯斯締系統中的某些實例將靠著圖表以及數值計算被展示如何達到超混沌現象. 在連結邏輯斯締系統中達到超混沌現象的方法將以數值計算來檢驗之. 分叉圖表和計算李昂普諾夫指數是用來確認混沌和超混沌現象的存在. 在連結邏輯斯締系統中同步化現象會被獲得.
Two basic conditions which should be usually satisfied in order to produce hyper chaos in the coupled logistic systems are proposed. Some cases in the coupled logistic systems are shown how route to hyper chaos by diagrams and numerical calculation. Methods of routes to hyper chaos in the coupled logistic systems are examined numerically. Bifurcation diagrams and Lyapunov exponents are then calculated to assert the existence of chaos and hyper chaos. Synchronization can be achieved in the coupled logistic systems.
References
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