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Generalized projective synchronization of fractional order chaotic systems

Author

Listed:
  • Peng, Guojun
  • Jiang, Yaolin
  • Chen, Fang

Abstract

In this paper, based on the idea of a nonlinear observer, a new method is proposed and applied to “generalized projective synchronization” for a class of fractional order chaotic systems via a transmitted signal. This synchronization approach is theoretically and numerically studied. By using the stability theory of linear fractional order systems, suitable conditions for achieving synchronization are given. Numerical simulations coincide with the theoretical analysis.

Suggested Citation

  • Peng, Guojun & Jiang, Yaolin & Chen, Fang, 2008. "Generalized projective synchronization of fractional order chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3738-3746.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3738-3746
    DOI: 10.1016/j.physa.2008.02.057
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    References listed on IDEAS

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    1. Li, Chunguang & Chen, Guanrong, 2004. "Chaos and hyperchaos in the fractional-order Rössler equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 55-61.
    2. Yan, Jianping & Li, Changpin, 2005. "Generalized projective synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1119-1124.
    3. Lu, Jun Guo, 2006. "Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 519-525.
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    Cited by:

    1. Kingni, Sifeu Takougang & Pham, Viet-Thanh & Jafari, Sajad & Woafo, Paul, 2017. "A chaotic system with an infinite number of equilibrium points located on a line and on a hyperbola and its fractional-order form," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 209-218.
    2. Liu, Hui & Chen, Juan & Lu, Jun-an & Cao, Ming, 2010. "Generalized synchronization in complex dynamical networks via adaptive couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1759-1770.
    3. Wang, Sha & Yu, Yongguang & Diao, Miao, 2010. "Hybrid projective synchronization of chaotic fractional order systems with different dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4981-4988.
    4. Deepika, Deepika & Kaur, Sandeep & Narayan, Shiv, 2018. "Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 196-203.
    5. He, Shaobo & Banerjee, Santo & Sun, Kehui, 2018. "Can derivative determine the dynamics of fractional-order chaotic system?," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 14-22.
    6. Gu, Yajuan & Yu, Yongguang & Wang, Hu, 2017. "Synchronization-based parameter estimation of fractional-order neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 351-361.

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