Title page for 87222017


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Student Number 87222017
Author Ming-Hong Quan(闕銘宏)
Author's Email Address No Public.
Statistics This thesis had been viewed 1608 times. Download 278 times.
Department Physics
Year 1999
Semester 2
Degree Master
Type of Document Master's Thesis
Language zh-TW.Big5 Chinese
Title Synchronization of van der Pol oscillators
Date of Defense 2000-07-09
Page Count 52
Keyword
  • Critical slowing down
  • Nonequilibrium phase transition
  • Synchronization
  • Abstract none
    Table of Content 第一章 簡介.........................................1
    第二章 van der Pol 模型.............................4
    第一節 外加驅使力的強度為常數...................4
    第二節 外加驅使力的強度為時間的餘弦函數.........5
    第三章 外加驅使力的強度為常數時的同步行為..........10
    第一節 調控參數為交互作用的強度................12
    第二節 調控參數為外加驅使力的強度..............19
    第四章 四倍週期軌道振盪子的同步行為................21
    第一節 二正軌道振盪子的同步行為................21
    第二節 正軌道與負軌道振盪子的同步行為..........27
    第五章 八倍、十六倍週期軌道振盪子的同步行為........32
    第一節 八倍週期軌道振盪子的同步行為............32
    第二節 十六倍週期軌道振盪子的同步行為..........34
    第六章 混沌振盪子的同步行為........................36
    第一節 二正軌道混沌振盪子的同步行為............36
    第二節 正軌道與負軌道混沌振盪子的同步行為......42
    第七章 總結與討論..................................46
    附錄...............................................48
    參考文獻...........................................52
    Reference [1] S. H. Strogatz, "Nonlinear Dynamics and Chaos" (Addison-Wesley, Reading, Mass., 1994), pp. 335-341.
    [2] M. Lakshmanan and K. Murali, "Chaos in Nonlinear Oscillators" (World scientific, Singapore, 1996), pp. 256-258.
    [3] H. K. Leung, Critical slowing down in synchronizing nonlinear oscillators, Phys. Rev. E 58, 5704 (1998).
    [4] L. M. Pecora and T. L. Carrol, Synchronization in chaotic system, Phys. Rev. Lett. 64, 821 (1990).
    [5] L. M. Pecora and T. L. Carrol, Driving system with chaotic signals, Phys. Rev. A 44, 2374 (1991).
    [6] N. F. Rulkov, M. M. Sushchik, and L. S. Tsimring, Generalized synchronization of chaos in directionally coupled chaotic system, Phys. Rev. E 51, 980 (1995).
    [7] M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phase synchronization of chaotic oscillators, Phys. Rev. Lett. 76, 1804 (1996).
    [8] M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, From phase to lag synchronization in coupled chaotic oscillators, Phys. Rev. Lett. 78, 4193 (1997).
    [9] L. Y. Cao and Y. C. Lai, Antiphase synchronization in chaotic system, Phys. Rev. E 58, 382 (1998).
    [10] H. K. Leung, Dissipative effects on synchronization of nonchaotic oscillators, Chinese J. Phys. 37, 302 (1999).
    [11] U. Parlitz and W. Lauterborn, Period-doubling cascades and devil's staircases of the driven van der Pol oscillator, Phys. Rev. A 36, 1428 (1987).
    [12] K. M. Cuomo, A. V. Oppenheim, and S. H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications, IEEE Trans. Circuits and Systems 40, 626 (1993).
    [13] J. Devore and R. Peck, "Statistics: The Exploration and Analysis of Data" 2nd ed. (Duxbury Press, Belmont, Calif., 1993), pp. 113-170.
    [14] W. Cheney and D. Kincaid, "Numerical Mathematics and Computing", 3rd ed. (Brooks/Cole, Pacific Grove, Calif., 1994), pp. 381-387.
    Advisor
  • H. K. Leung(梁鍹廣)
  • Files
  • 87222017.pdf
  • approve immediately
    Date of Submission 2000-07-09

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