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Cluster modified projective synchronization between networks with distinct topologies

Author

Listed:
  • Shahed Vahedi

    (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor DE, Malaysia)

  • Mohd Salmi Md Noorani

    (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor DE, Malaysia)

Abstract

Cluster modified projective synchronization (CMPS) between two topologically distinct community networks is studied in this paper. Each cluster here has a unique dynamics at least with respect to the parameter sets. Using an adaptive feedback control gain and a matrix scaling factor, we show that CMPS between two community networks can be realized with considering minimum assumptions and imposing just few restrictions on the configuration set. We use Lyapunov stability theory for the proof and employ computer simulation to confirm our result on randomly generated community networks. Simulations also show the possibility of having hybrid synchronization between the two networks.

Suggested Citation

  • Shahed Vahedi & Mohd Salmi Md Noorani, 2016. "Cluster modified projective synchronization between networks with distinct topologies," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(08), pages 1-11, August.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:08:n:s012918311650087x
    DOI: 10.1142/S012918311650087X
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    Cited by:

    1. 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.

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