Function projective synchronization in chaotic and hyperchaotic systems through open-plus-closed-loop coupling

被引:20
作者
Sudheer, K. Sebastian [1 ]
Sabir, M. [1 ]
机构
[1] Cochin Univ Sci & Technol, Dept Phys, Cochin 682022, Kerala, India
关键词
chaos; numerical analysis; synchronisation; GENERALIZED SYNCHRONIZATION; LAG SYNCHRONIZATION;
D O I
10.1063/1.3309019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently introduced function projective synchronization in which chaotic systems synchronize up to a scaling function has important applications in secure communications. We design coupling function for unidirectional coupling in identical and mismatched oscillators to realize function projective synchronization through open-plus-closed-loop coupling method. Numerical simulations on Lorenz system, Roumlssler system, hyperchaotic Lorenz, and hyperchaotic Chen system are presented to verify the effectiveness of the proposed scheme.
引用
收藏
页数:5
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共 24 条
  • [1] Generalized synchronization of chaos: The auxiliary system approach
    Abarbanel, HDI
    Rulkov, NF
    Sushchik, MM
    [J]. PHYSICAL REVIEW E, 1996, 53 (05) : 4528 - 4535
  • [2] [Anonymous], 2009, COMPLEX DYNAMICS PHY
  • [3] [Anonymous], SYNCHRONIZATION CONC
  • [4] Chaos-based communications at high bit rates using commercial fibre-optic links
    Argyris, A
    Syvridis, D
    Larger, L
    Annovazzi-Lodi, V
    Colet, P
    Fischer, I
    García-Ojalvo, J
    Mirasso, CR
    Pesquera, L
    Shore, KA
    [J]. NATURE, 2005, 438 (7066) : 343 - 346
  • [5] Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems
    Belykh, VN
    Belykh, IV
    Hasler, M
    [J]. PHYSICAL REVIEW E, 2000, 62 (05): : 6332 - 6345
  • [6] The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems
    Chen, Yong
    An, Hongli
    Li, Zhibin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) : 96 - 110
  • [7] Function projective synchronization of different chaotic systems with uncertain parameters
    Du, Hongyue
    Zeng, Qingshuang
    Wang, Changhong
    [J]. PHYSICS LETTERS A, 2008, 372 (33) : 5402 - 5410
  • [8] The generation and circuit implementation of a new hyper-chaos based upon Lorenz system
    Gao, Tiegang
    Chen, Guanrong
    Chen, Zengqiang
    Cang, Shijian
    [J]. PHYSICS LETTERS A, 2007, 361 (1-2) : 78 - 86
  • [9] Designing coupling for synchronization and amplification of chaos
    Grosu, Ioan
    Padmanaban, E.
    Roy, Prodyot K.
    Dana, Syamal K.
    [J]. PHYSICAL REVIEW LETTERS, 2008, 100 (23)
  • [10] Design of coupling for synchronization of chaotic oscillators
    Grosu, Ioan
    Banerjee, Ranjib
    Roy, Prodyot K.
    Dana, Syamal K.
    [J]. PHYSICAL REVIEW E, 2009, 80 (01):