Cluster modified projective synchronization between networks with distinct topologies

Shahed Vahedi and Mohd Salmi Md Noorani ()
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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

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 08, 1-11

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.

Keywords: Complex networks; cluster synchronization; modified projective synchronization; adaptive control; hybrid synchronization (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S012918311650087X

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