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Projective lag synchronization in drive-response dynamical networks

Author

Listed:
  • Ghada Al-Mahbashi

    (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia)

  • Mohd Salmi Md Noorani

    (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia)

  • Sakhinah Abu Bakar

    (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia)

Abstract

This paper investigates projective lag synchronization (PLS) behavior between chaotic systems in drive-response dynamical networks (DRDNs) model with nonidentical nodes. A hybrid feedback control method is designed to achieve the PLS with and without mismatched terms. Specially, the coupling matrix in this model is not assumed to be symmetric, diffusive or irreducible. The stability of the error dynamics is proven theoretically using the Lyapunov stability theory. Finally, analytical results show that the states of the dynamical network with non-delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Moreover, the numerical simulations results demonstrate the validity of the proposed method.

Suggested Citation

  • Ghada Al-Mahbashi & Mohd Salmi Md Noorani & Sakhinah Abu Bakar, 2014. "Projective lag synchronization in drive-response dynamical networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:11:n:s0129183114500685
    DOI: 10.1142/S0129183114500685
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    Cited by:

    1. Lü, Ling & Wei, Qingtao & Jia, Hao & Tian, Shuo & Xu, Zhao & Zhao, Lina & Xu, Zhichao & Xu, Xianying, 2019. "Parameter identification and synchronization between uncertain delay networks based on the coupling technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Li, Chengren & Lü, Ling & Li, Gang & Zhao, Guannan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2019. "Cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 742-749.
    3. Lü, Ling & Zhang, Fuli & Han, Changhui, 2019. "Synchronization transmission of the target signal in the circuit network based on coupling technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    4. Wei, Qingtao & Lü, Ling & Jia, Hao, 2019. "Research on coupled synchronization of Duffing circuit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 247-255.
    5. Lü, Ling & Li, Chengren & Chen, Liansong & Bai, Suyuan & Ge, Lianjun & Gao, Liyu & Han, Changhui, 2018. "Outer synchronization between uncertain networks with adaptive scaling function and different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 909-918.
    6. Lü, Ling & Xu, Yuqing & Li, Ying & Li, Gang & Li, Chengren & Chen, Liansong, 2019. "Synchronization transmission of laser pattern signals between uncertain networks constructed by Gibbs laser spatial expanded models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 352-361.
    7. Lü, Ling & Wei, Qingtao, 2019. "Parameter estimation and synchronization in the uncertain financial network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    8. Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Yan & Yan, Zhe & Rong, Tingting, 2018. "Adaptive synchronization of uncertain time-delayed and multi-link network with arbitrary topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 355-365.
    9. Li, Chengren & Lü, Ling & Chen, Liansong & Hong, Yixuan & Zhou, Shuang & Yang, Yiming, 2018. "Cluster synchronization transmission of different external signals in discrete uncertain network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 238-247.
    10. Lü, Ling & Xu, Yuqing & Chen, Liansong & Li, Chengren, 2019. "Exponential synchronization of uncertain networks with the switching topology based on sliding mode technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 121-130.
    11. Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Yan, Zhe & Rong, Tingting & Gao, Yan, 2018. "Synchronization between uncertain time-delayed networks with multi-link and different topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 635-643.

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