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Full state hybrid projective synchronization in hyperchaotic systems

Author

Listed:
  • Chu, Yan-Dong
  • Chang, Ying-Xiang
  • Zhang, Jian-Gang
  • Li, Xian-Feng
  • An, Xin-Lei

Abstract

In this letter, we investigate the full state hybrid projective synchronization (FSHPS) which includes complete synchronization, anti-synchronization and projective synchronization as its special items. Based on Lyapunov stability theory a controller can be designed for achieving the FSHPS of hyperchaotic systems. Numerical simulations are provided to verify the effectiveness of the proposed scheme.

Suggested Citation

  • Chu, Yan-Dong & Chang, Ying-Xiang & Zhang, Jian-Gang & Li, Xian-Feng & An, Xin-Lei, 2009. "Full state hybrid projective synchronization in hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1502-1510.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1502-1510
    DOI: 10.1016/j.chaos.2009.03.049
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    References listed on IDEAS

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    1. Zhang, Jian-Gang & Li, Xian-Feng & Chu, Yan-Dong & Yu, Jian-Ning & Chang, Ying-Xiang, 2009. "Hopf bifurcations, Lyapunov exponents and control of chaos for a class of centrifugal flywheel governor system," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2150-2168.
    2. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    3. Gakkhar, Sunita & Singh, Brahampal, 2005. "Complex dynamic behavior in a food web consisting of two preys and a predator," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 789-801.
    4. Gakkhar, Sunita & Singh, Brahampal, 2006. "Dynamics of modified Leslie–Gower-type prey–predator model with seasonally varying parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1239-1255.
    5. Álvarez, G. & Li, Shujun & Montoya, F. & Pastor, G. & Romera, M., 2005. "Breaking projective chaos synchronization secure communication using filtering and generalized synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 775-783.
    6. Stachowiak, Tomasz & Okada, Toshio, 2006. "A numerical analysis of chaos in the double pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 417-422.
    7. Merta, Henryk, 2006. "Characteristic time series and operation region of the system of two tank reactors (CSTR) with variable division of recirculation stream," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 279-285.
    8. Chee, Chin Yi & Xu, Daolin, 2005. "Secure digital communication using controlled projective synchronisation of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1063-1070.
    9. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
    10. Wen, Guilin & Xu, Daolin, 2005. "Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 71-77.
    11. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    12. Merta, Henryk & Pelka, Rafał, 2005. "Chaotic dynamics of a cascade of plug flow tubular reactors (PFTRs) with division of recirculating stream," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1211-1219.
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