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博碩士論文 etd-0611101-130855 詳細資訊
Title page for etd-0611101-130855
論文名稱
Title
Lorenz混沌電路之間斷同步研究
Piece-wise Synchronization of Lorenz Chaotic Circuit
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
105
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2001-06-02
繳交日期
Date of Submission
2001-06-11
關鍵字
Keywords
混沌、間斷同步、勞倫茲、混沌電路
Lorenz, chaos, synchronization, chaotic circuit
統計
Statistics
本論文已被瀏覽 5651 次,被下載 3415
The thesis/dissertation has been browsed 5651 times, has been downloaded 3415 times.
中文摘要
一般的混沌電路同步實驗是將兩組實驗電路即時而且連續的連接在一起。我們的的研究是利用電腦做為控制子系統(Master)輸出混沌波形,在被控制的電路子系統(Slave)上觀察兩者間同步的結果。實驗系統以Cuomo的Lorenz電路為主,藉以討論混沌的間斷同步在電路系統上實現的可行性。我們嘗試了幾種不同的間斷控制方法,研究混沌波形同步的關鍵。實驗結果顯示,混沌軌道在吸子變換象限的區域是最重要的同步波形,這種選擇式的間斷同步比週期式間斷同步更能忍受雜訊的干擾,而且實驗結果和理論模擬之間的對照也很吻合。
Abstract
Our investigation was to study the feasibility of piece-wise synchronization of chaotic circuits. In conventional experiments of electronic-circuit chaotic synchronization, two circuits were real-time and continuous connected together. In our research, a computer was used as the master subsystem that output chaotic signals to a slave circuit to study the performance of synchronization. The circuit was based on Cuomo’s design. Several methods of piece-wise control were tested to find out the key point of chaotic synchronization. The experimental results revealed that the most important synchronized waveforms were the chaotic orbits near the region that the attractor change quadrants. A conditional piece-wise synchronization method was developed based on our discoveries. Comparing to the periodic piece-wise synchronization method, our method is more robust to sustain the circuit noise. Another advantage is that, in our method, the experimental results fit the computer simulation quite well.
目次 Table of Contents
目錄

中文摘要
英文摘要
致謝辭
目錄
圖表目錄

第一節 簡介
第二節 混沌與控制
第三節 Lorenz混沌控制實驗系統及雜訊
第四節 週期式間斷同步
第五節 選擇式間斷同步
第六節 結論與後續發展
參考資料
附錄
參考文獻 References
參考資料
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3. Cuomo, K. M., and Oppenheim, A. V., “Circuit Implementation of Synchronized Chaos with Applications to Communications”, Phys. Rev. Lett. 71, 65 (1993).
4. Cuomo, K. M., Oppenheim, A. V., and Strogatz, S. H., “Synchronization of Lorenz-Based Chaotic Circuits with Application to Communications”, IEEE Trans. Circ. Syst. 40, 626 (1993).
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10. Stojanovski, T., Kocarev, L., Parlitz, U., and Harris, R, “Sporadic Driving of Dynamical Systems”, Phys. Rev. E. 55, 4035 (1997).
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