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Coupling strength computation for chaotic synchronization of complex networks with multi-scroll attractors

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  • Soriano-Sánchez, A.G.
  • Posadas-Castillo, C.
  • Platas-Garza, M.A.
  • Cruz-Hernández, C.
  • López-Gutiérrez, R.M.

Abstract

In this paper synchronization of N-coupled chaotic oscillators with multi-scroll attractors is presented. N chaotic oscillators are coupled in regular and irregular topologies. The generalizations of the Genesio & Tesi and Chua’s chaotic oscillators are used as generators of multi-scroll attractors. An alternative scheme for computing the coupling strength is proposed. Synchronization is achieved through the coupling matrix and by using the resulting alternative values. In general, the range of values obtained with the proposed method is smaller than the one given by Wang & Chen method. The effectiveness of this coupling strength is verified through numerical simulations.

Suggested Citation

  • Soriano-Sánchez, A.G. & Posadas-Castillo, C. & Platas-Garza, M.A. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2016. "Coupling strength computation for chaotic synchronization of complex networks with multi-scroll attractors," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 305-316.
    • Handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:305-316
    DOI: 10.1016/j.amc.2015.11.081
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    References listed on IDEAS

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    1. Soriano-Sánchez, A.G. & Posadas-Castillo, C. & Platas-Garza, M.A. & Diaz-Romero, D.A., 2015. "Performance improvement of chaotic encryption via energy and frequency location criteria," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 112(C), pages 14-27.
    2. 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.
    3. Agrawal, S.K. & Srivastava, M. & Das, S., 2012. "Synchronization of fractional order chaotic systems using active control method," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 737-752.
    4. Yan, Zhenya & Yu, Pei, 2007. "Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 419-435.
    5. Feng, Yong & Yu, Xinghuo & Sun, Lixia, 2008. "Synchronization of uncertain chaotic systems using a single transmission channel," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 755-762.
    6. Feki, Moez, 2009. "Sliding mode control and synchronization of chaotic systems with parametric uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1390-1400.
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    Cited by:

    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    2. Sánchez, Allan G.S. & Posadas–Castillo, C. & Garza–González, E., 2021. "Determining efficiency of small-world algorithms: A comparative approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 687-699.
    3. A.G., Soriano–Sánchez & C., Posadas–Castillo & M.A., Platas–Garza & A., Arellano–Delgado, 2018. "Synchronization and FPGA realization of complex networks with fractional–order Liu chaotic oscillators," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 250-262.
    4. Garza-González, E. & Posadas-Castillo, C. & López-Mancilla, D. & Soriano-Sánchez, A.G., 2020. "Increasing synchronizability in a scale-free network via edge elimination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 233-243.
    5. Ruiz-Silva, A. & Gilardi-Velázquez, H.E. & Campos, Eric, 2021. "Emergence of synchronous behavior in a network with chaotic multistable systems," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    6. Sun, Bo & Cao, Yuting & Guo, Zhenyuan & Yan, Zheng & Wen, Shiping, 2020. "Synchronization of discrete-time recurrent neural networks with time-varying delays via quantized sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    7. Serrano, Fernando E. & Ghosh, Dibakar, 2022. "Robust stabilization and synchronization in a network of chaotic systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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