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Synchronization of identical and non-identical 4-D chaotic systems using active control

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  • Vincent, U.E.

Abstract

This paper presents chaos synchronization between two identical Lorenz–Stenflo (LS) and a new four-dimensional chaotic system (Qi systems) by using active control technique. The designed controller ensures that the state variables of the controlled chaotic slave LS and Qi systems globally synchronizes with the state variables of the master systems respectively. It is also shown that Qi system globally synchronizes with LS system under the generalized active control. The results are validated using numerical simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:4:p:1065-1075
    DOI: 10.1016/j.chaos.2006.10.005
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    References listed on IDEAS

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    1. Vincent, U.E. & Njah, A.N. & Akinlade, O. & Solarin, A.R.T., 2006. "Phase synchronization in bi-directionally coupled chaotic ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 186-196.
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    4. Qi, Guoyuan & Du, Shengzhi & Chen, Guanrong & Chen, Zengqiang & yuan, Zhuzhi, 2005. "On a four-dimensional chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1671-1682.
    5. Yan, Jianping & Li, Changpin, 2005. "Generalized projective synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1119-1124.
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    Cited by:

    1. J. Humberto Pérez-Cruz, 2018. "Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control," Complexity, Hindawi, vol. 2018, pages 1-19, December.
    2. Posadas-Castillo, C. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2009. "Experimental realization of synchronization in complex networks with Chua’s circuits like nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1963-1975.
    3. Laoye, J.A. & Vincent, U.E. & Kareem, S.O., 2009. "Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 356-362.
    4. Runzi Luo & Haipeng Su & Yanhui Zeng, 2017. "Chaos Control and Synchronization via Switched Output Control Strategy," Complexity, Hindawi, vol. 2017, pages 1-11, January.
    5. Tien-Loc Le & Tuan-Tu Huynh & Vu-Quynh Nguyen & Chih-Min Lin & Sung-Kyung Hong, 2020. "Chaotic Synchronization Using a Self-Evolving Recurrent Interval Type-2 Petri Cerebellar Model Articulation Controller," Mathematics, MDPI, vol. 8(2), pages 1-26, February.
    6. Lorı´a, Antonio, 2011. "Cascades-based synchronization of hyperchaotic systems: Application to Chen systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 702-709.
    7. J. Humberto Pérez-Cruz & Pedro A. Tamayo-Meza & Maricela Figueroa & Ramón Silva-Ortigoza & Mario Ponce-Silva & R. Rivera-Blas & Mario Aldape-Pérez, 2019. "Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, July.
    8. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.

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