Cluster modified projective synchronization between community networks

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), 2015, vol. 26, issue 10, 1-13

Abstract: Cluster modified projective synchronization of two community networks with nonidentical nodes is studied in this paper. Each network has a unique dynamics and its clusters have different parameter sets which could make their dynamics chaotic or periodic for instance. Therefore, we are dealing with varieties of dynamics in these clusters. By introducing an adaptive control gain in our controller design and using Lyapunov stability theory, we show that two community networks can reach to the synchronized state having arbitrary matrix scaling factor between corresponding nodes of the networks. Moreover, using this matrix we can observe different synchronization regimes simultaneously in each pair of corresponding nodes.

Keywords: Community networks; cluster synchronization; modified projective synchronization; adaptive control; 05.45.Gg; 05.45.Xt (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115501107

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