臺灣博碩士論文加值系統

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.

Table of Contents

Abstract and Key Words . . . . . . . . . . . . . . i
Acknowledgements . . . . . . . . . . . . . . . . . ii

1. Introduction . . . . . . . . . . . . . . . . . 1

2. Chaos and Hyper Chaos . . . . . . . . . . . . 3
2.1 Formulation . . . . . . . . . . . . . . . 3
2.2 Lyapunove exponents . . . . . . . . . . . 3
2.3 Synchronization . . . . . . . . . . . . . 4
2.4 Cases . . . . . . . . . . . . . . . . . . 5

3. Methods of Routes to Hyper Chaos . . . . . . . 52
3.1 Period à chaos à hyper chaos . . . . . . . . 53
3.2 Chaos à hyper chaos . . . . . . . . . . . . . 59
3.3 Period à hyper chaos à chaos . . . . . . . . 61
3.4 Period-3 à chaos à hyper chaos . . . . . . . 67
3.5 Chaos à hyper chaos à chaos à hyper chaos . . 69

4. Conclusion . . . . . . . . . . . . . . . . . . 70

References . . . . . . . . . . . . . . . . . . . . 71

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