# 臺灣博碩士論文加值系統

(44.211.117.197) 您好！臺灣時間：2024/05/23 10:41

:::

### 詳目顯示

:

• 被引用:0
• 點閱:177
• 評分:
• 下載:8
• 書目收藏:0
 太極為陰陽之結合，而太極渾沌系統即為陽渾沌系統與陰渾沌系統之合併。陽系統為正數系統，及一般系統，而陰系統則為負數時間之系統。八卦為太極之延伸，每個卦皆有各自對應的方向、圖形、代表物。八卦同步利用它們各自的圖形代表三個不同的渾沌系統，接著再用多重交織同步完成八卦同步。六十四卦為八卦的進階，它分上、下兩部分，這兩部分都代表八卦的一個卦象，而六十四卦同步即為八卦同步的延伸。同步一般是指系統間存在著主僕般的函數關係。而新的渾沌多重交織同步則是原來的系統與其他系統間變為伙伴間的函數關係。最後利用數值模擬來驗證前述計畫。
 “Tai Ji”, the great one, is the combination of Yin and Yang, and Tai Ji chaotic system is the combination of “Yang” chaotic system and “Yin” chaotic system. Yang system represents contemporary system, and Yin system means historical system. The eight trigrams, a part of Chinese philosophy, is advance of “Tai Ji”, and they have their own directions, figures, and representations. Trigram synchronization uses three different chaos systems by the figures, and multiple symplectic derivative synchronization is used. Hexagram, advance of the eight trigrams, has two parts, upper and low, which both represent a trigram, and the hexagram synchronization is advance of trigram synchronization. The generalized synchronization is that there exists a functional relationship between the states of the master and those of the slave. A new type of chaotic synchronization, multiple chaotic symplectic synchronization, is obtained with the state variables of the original system and of another different order system as constituents of the functional relation of “partners”. Numericalsimulations are provided to verify the effectiveness of the scheme.
 CHINESE ABSTRACT.................................................. iiiABSTRACT.......................................................... ivACKNOWLEDGMENT.................................................... vCONTENTS ......................................................... viChapter 1 Introduction ........................................... 1Chapter 2 Chaos of Yang, Yin, and Tai Ji Rossler Systems.......... 42-1. Preliminary ................................................. 42-2. Yang Rossler system ......................................... 42-3. Yin Rossler system .......................................... 52-4. Simulation results .......................................... 62-5. Tai Ji Rossler system........................................ 122-6. Summary ..................................................... 13Chapter 3 Multiple Symplectic Derivative Synchronization of Ge-Ku-Van der Pol-Rossler System with Other Different Systems by Partial RegionStability Theory .................................................................. 283-1. Preliminary ................................................. 283-2. Strategy of multiple symplectic derivative synchronization... 283-3. Synchronization by GYC partial region stability theory....... 293-4. Synchronization by traditional method........................ 323-5. Comparison between new strategy and traditional method....... 333-6. Summary...................................................... 35viiChapter 4 Multiple Symplectic Derivative Synchronization of Rossler System and Sprott A System with Variable Time Scales by Partial RegionStability Theory .................................................................. 474-1. Preliminary.................................................. 474-2. Synchronization of different time on other octant............ 474-3. Synchronization by traditional method........................ 494-5. Summary ..................................................... 52Chapter 5 Kan trigram and Li trigram Multiple Symplectic DerivativeSynchronization by Partial Region Stability Theory .................................................................. 645-1. Preliminary.................................................. 645-2. Synchronization of Yang and Yin systems...................... 645-3. Kan trigram synchronization.................................. 675-4. Li trigram synchronization................................... 695-5. Summary ..................................................... 72Chapter 6 Kan-Li Hexagram Multiple Symplectic Derivative Synchronization by Partial Region Stability Theory .................................................................. 886-1. Preliminary ................................................. 886-2. Systems of Kan-Li hexagram synchronization................... 886-3. Kan-Li hexagram synchronization by GYC partial region stability theory ........................................................... 916-4. Kan-Li hexagram synchronization by traditional Lyapunov function .................................................................. 936-5. Kan-Li hexagram synchronization by linear feedback method .................................................................. 956-6. Comparison of synchronization ways........................... 976-7. Summary...................................................... 100Chapter 7 Conclusions .................................................................. 109References .................................................................. 111
 [1] Lorenz, E.N., “ Deterministic non-periodic flows”, J. Atoms.20, 130–141 (1963).[2] Yuming Shi, Pei Yu, “Chaos induced by regular snap-back repellers”, J. Math. Anal. Appl. 337 1480–1494 (2008).[3] Risong Li, “A note on the three versions of distributional chaos”, Commun Nonlinear Sci Numer Simulat 16 1993–1997(2011).[4] Marc Gerritsma, Jan-Bart van der Steen, Peter Vos, George Karniadakis, “Time-dependent generalized polynomial chaos”, Journal of Computational Physics 229 8333–8363 (2010).[5] Lacitignola, D., Petrosillo, I., Zurlini, G., “ Time-dependent regimes of a tourism-based social–ecological system: period-doubling route to chaos”, Ecol. Complex. 7, 44–54 (2010).[6] Elnashaie, S.S.E.H., Grace, J.R., “ Complexity, bifurcation and chaos in natural and man-made lumped and distributed systems”, Chem. Eng. Sci. 62, 3295–3325 (2007).[7] Jovic, B., Unsworth, C.P., Sandhu, G.S., Berber, S.M., “ A robust sequence synchronization unit for multi-user DS-CDMA chaos-based communication systems”, Signal Process. 87, 1692–1708 (2007).[8] Ge, Z.M., Chen, C.C., “ Phase synchronization of coupled chaotic multiple time scales systems”, Chaos Solitons Fractals 20, 639–647 (2004).[9] Ge, Z.M., Cheng, J.W., “ Chaos synchronization and parameter identification of three time scales brushless DC motor system”, Chaos Solitons Fractals 24, 597–616 (2005).[10] Wang, Y., Wong, K.W., Liao, X., Chen, G., “ A new chaosbased fast image encryption algorithm”, Appl. Soft Comput. (in press).[11] Fallahi, K., Leung, H., “ A chaos secure communication scheme based on multiplication modulation. Commun”, Nonlinear Sci. Numer. Simul. 15, 368–383 (2010).[12] Yu, W., “ A new chaotic system with fractional order and its projective synchronization”, Nonlinear Dyn. 48, 165–174 (2007).[13] Chen, H.K., Sheu, L.J., “ The transient ladder synchronization of chaotic systems”, Phys. Lett. A 355, 207–211 (2006).[14] Fujisaka H. and Yamada T., “Stability Theory of Synchronized Motion in Coupled-Oscillator Systems”, Prog. Theor. Phys., 69, 32 (1983).[15] L.-M. Pecora and T.-L. Carroll, “Synchronizations in chaotic systems”, Physical Review Letters, 64 821-824 (1990).[16] A. Kittel, J. Parisi and K. Pyragas, “Generalized synchronization of chaos in electronic circuit experiments”, Physica D, 112 459-471 (1998).[17] R. Mainieri and J. Rahacek, “Projection synchronization in three-dimensional chaotic systems”, Phys. Rev. Lett. 82 3042-3045 (1999).[18] M. Hu, and Z. Xu, “Adaptive feedback controller for projective synchronization”, Nonlinear Analysis: Real World Applications, 9 1253-1260 (2008).[19] H.-K. Chen, “Synchronization of two different chaotic system: a new system and each of the dynamical systems Lorenz, Chen and Lu”, Chaos, Solution & Fractals, 25 1049-1056 (2005).[20] N. Vasegh and F. Khellat, “Projection synchronization of chaotic time-delayed system via sliding mode controller”, Chaos, Solution & Fractals, 42 1054-1061 (2009).[21] J. Zhou and Z.-H. Liu, “Synchronized patterns induced by distributed time delays”, Physical Review E, 77 056213-1-5 (2008).[22] G.-J. Peng and Y.-L. Jiang, “Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal”, Physics Letters A, 372 3963-3970 (2008).[23] M. Juan and X.-Y. Wang, “Generalized synchronization via nonlinear control” Chaos, 18 023108-1-5 (2008).[24] Z.-M. Ge and C.-H. Yang, “Symplectic synchronization of different chaotic system”, Chaos, Solution & Fractals, 40 2532-2543 (2009).[25] Kittel A., Parisi J. and Pyragas K., “Generalized synchronization of chaos in electronic circuit experiments”, Physica D, 112, pp.459-471 (1998).[26] Boccaletti S., “The synchronization of chaotic systems”, Phys. Rep., 366, pp.1-101 (2002).[27] Rosenblum M., Pikovsky A. and Kurths J., “Phase synchronization of chaotic oscillators”, Physical Review Letters, 76, pp.1804-1807 (1996).[28] Rosenblum M., Pikovsky A. and Kurths J., “Synchronization in a population of globally coupled chaotic oscillators”, Europhys. Lett., 34, pp.165-170 (1996).[29] Sivaprakasam S., Shahverdiev E.-M. Spencer P.-S. and Shore K.-A.,“Experimental demonstration of anticipating synchronization in chaoticsemiconductor laser with optical feedback”, Physical Review Letters, 87, 154101 (2001).[30] Chen J.-Y., Wong K.-W., Cheng L.-M. and Shuai J.-W., “A securecommunication scheme based on the phase synchronization of chaotic systems”, Chaos, 13, pp.508-514 (2003).[31] Pikovsky A.-S., Rowenblum M.-G., Osipov G.-V. and Kurths J., “Phase synchronization of chaotic oscillators by external driving”, Physica D, 104, pp.219-238 (1997).[32] Barsella A. and Lepers C., “Chaotic lag synchronization and pulse-induced transient chaos in lasers coupled by saturable absorber”, Opt. Commun., 205,pp.397-403 (2002).[33] Ge, Zheng-Ming, Li, Shih-Yu, “Yang and Yin parameters in the Lorenz system”, Nonlinear Dyn. 62: 105–117 (2010)[34] Rossler O.E., “An equation for hyperchaos”, Physics Letters A, 71 (1979) 155.[35] Letelliee C., Dutertre P. & Maheu B., “Unstable periodic orbits and templates of the Rossler system: toward a systematic topological characterization”, Chaos, , 5(1), 271(1995).[36] Gilmore R., Lefranc M., The topology of chaos, Wiley, (2002).[37] Ge, Z. M., Tsai, S. E., “Double symplectic synchronization for Ge-Ku-van der Pol System”, Nonlinear Analysis：Theory, Methods & Applications (2009).[38] J.C. Sprott, “Some simple chaotic flows”, Physical Review E, 2 5 (1994).[39] Z.-M. Ge, C.-Y. Ho, S.-Y. Li and Chang C.-M., “Chaos control ofnewIkeda–Lorenz systems by GYC partial region stability theory”, Mathmatical Methods in the Applied Sciences, 32 1564-1584 (2009).
 電子全文
 國圖紙本論文
 連結至畢業學校之論文網頁點我開啟連結註: 此連結為研究生畢業學校所提供，不一定有電子全文可供下載，若連結有誤，請點選上方之〝勘誤回報〞功能，我們會盡快修正，謝謝！
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 無相關論文

 無相關期刊

 1 藉部分區域穩定理論之坤-震八卦多重交織導數同步 2 藉部分區域穩定理論之艮-巽八卦多重交織導數同步 3 藉部分區域穩定理論之乾-兌八卦多重交織導數同步 4 宅配經營模式之研究--以統一速達為例 5 台灣IC設計服務公司的競爭策略-無特定晶圓代工廠支持之個案研究 6 人力仲介網站之使用意願研究 7 消費者對不同產品數字命稱的反應 8 中國古籍文件校勘系統設計與開發之研究 9 採用紅光色彩轉換層製作高效率固態白光電化學元件 10 單機多屬性工作排程研究 11 一個即時的行車速度預測方法 12 Facebook訊息發送機制中使用者互動行為對互動群體數量的影響 13 離群比例之基因表現分析 14 新竹縣德來儲蓄互助社之研究（民國60年～101年） 15 台灣藥用包材的營運模式分析研究

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室