Anticipated synchronization for a class of nonlinear vibration systems

被引:1
|
作者
Qin Wei-Yang [1 ]
Yang Yong-Feng [1 ]
Wang Hong-Jin [1 ]
Ren Xing-Min [1 ]
机构
[1] Northwestern Polytech Univ, Dept Engn Mech, Xian 710072, Peoples R China
关键词
anticipated synchronization; derived system; response;
D O I
10.7498/aps.57.2068
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For the nonlinear vibration system, if the derived system can reach synchronization with the original system by linear coupling, a corresponding anticipated system can be formed to realize the anticipated synchronization. The response of anticipated system can synchronize with the future response of original system and realize the prediction for nonlinear response, even for chaos in the original system. In order to realize a long-term prediction, a series of anticipated systems can be formed by the rule presented in this paper. For chaotic motion in Duffing system, a 6-level anticipated system is formed, which can predict the response of original Duffing system in about 3 s.
引用
收藏
页码:2068 / 2072
页数:5
相关论文
共 19 条
  • [11] Synchronization of a class of time-varied nonlinear vibration system
    Qin Wei-Yang
    Wang Hong-Jin
    Zhang Jin-Fu
    [J]. ACTA PHYSICA SINICA, 2007, 56 (08) : 4361 - 4365
  • [12] Lag times and parameter mismatches in synchronization of unidirectionally coupled chaotic external cavity semiconductor lasers
    Shahverdiev, EM
    Sivaprakasam, S
    Shore, KA
    [J]. PHYSICAL REVIEW E, 2002, 66 (03):
  • [13] Experimental verification of anticipated and retarded synchronization in chaotic semiconductor lasers
    Tang, S
    Liu, JM
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (19)
  • [14] Dynamic long-term anticipation of chaotic states
    Voss, HU
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (01)
  • [15] Anticipating chaotic synchronization
    Voss, HU
    [J]. PHYSICAL REVIEW E, 2000, 61 (05) : 5115 - 5119
  • [16] Combination of two basic types of synchronization in a coupled semiconductor laser system
    Wu, L.
    Zhu, S.
    Ni, Y.
    [J]. EUROPEAN PHYSICAL JOURNAL D, 2007, 41 (02): : 349 - 354
  • [17] Coexistence and switching of anticipating synchronization and lag synchronization in an optical system
    Wu, L
    Zhu, SQ
    [J]. PHYSICS LETTERS A, 2003, 315 (1-2) : 101 - 108
  • [18] Generalized synchronization of two non-identical chaotic systems based on fuzzy model
    Yang Dong-Sheng
    Zhang Hua-Guang
    Li Ai-Ping
    Meng Zi-Yi
    [J]. ACTA PHYSICA SINICA, 2007, 56 (06) : 3121 - 3126
  • [19] Generalized synchronization of phase differences in three lasers
    Zhu, SQ
    Luo, XQ
    Fang, JX
    [J]. CHINESE PHYSICS LETTERS, 2001, 18 (06) : 727 - 730