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Generalized projective synchronization of a unified chaotic system

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  • Yan, Jianping
  • Li, Changpin

Abstract

In the present paper, a simple but efficient control technique of the generalized projective synchronization is applied to a unified chaotic system. Numerical simulations show that this method works very well, which can also be applied to other chaotic systems.

Suggested Citation

  • Yan, Jianping & Li, Changpin, 2005. "Generalized projective synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1119-1124.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1119-1124
    DOI: 10.1016/j.chaos.2005.02.034
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    Citations

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    Cited by:

    1. Chiang, Tsung-Ying & Hung, Meei-Ling & Yan, Jun-Juh & Yang, Yi-Sung & Chang, Jen-Fuh, 2007. "Sliding mode control for uncertain unified chaotic systems with input nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 437-442.
    2. Li, Guo-Hui, 2006. "Generalized projective synchronization of two chaotic systems by using active control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 77-82.
    3. Shao, Shiquan, 2009. "Controlling general projective synchronization of fractional order Rossler systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1572-1577.
    4. Li, Ruihong & Xu, Wei & Li, Shuang, 2009. "Anti-synchronization on autonomous and non-autonomous chaotic systems via adaptive feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1288-1296.
    5. Cai, Na & Jing, Yuanwei & Zhang, Siying, 2009. "Generalized projective synchronization of different chaotic systems based on antisymmetric structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1190-1196.
    6. Li, Guo-Hui, 2007. "Generalized projective synchronization between Lorenz system and Chen’s system," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1454-1458.
    7. 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.
    8. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
    9. Li, Guo-Hui, 2007. "Modified projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1786-1790.
    10. Al-Sawalha, Ayman, 2009. "Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1926-1932.
    11. Xiao, Lin & Li, Linju & Cao, Penglin & He, Yongjun, 2023. "A fixed-time robust controller based on zeroing neural network for generalized projective synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    12. Du, Hongyue & Zeng, Qingshuang & Wang, Changhong, 2009. "Modified function projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2399-2404.
    13. Farivar, Faezeh & Aliyari Shoorehdeli, Mahdi & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2012. "Chaos control and generalized projective synchronization of heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive variable structure control," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 80-97.
    14. Shen, Liqun & Liu, Wanyu & Ma, Jianwei, 2009. "Robust function projective synchronization of a class of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1292-1296.
    15. Akinlar, Mehmet Ali & Tchier, Fairouz & Inc, Mustafa, 2020. "Chaos control and solutions of fractional-order Malkus waterwheel model," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    16. Farivar, Faezeh & Shoorehdeli, Mahdi Aliyari & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2009. "Generalized projective synchronization for chaotic systems via Gaussian Radial Basis Adaptive Backstepping Control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 826-839.
    17. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.

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