Adaptive synchronization in nonlinearly coupled dynamical networks

Guangming He and Jingyu Yang

Chaos, Solitons & Fractals, 2008, vol. 38, issue 5, 1254-1259

Abstract: Recently, it has been demonstrated that many large-scale complex dynamical networks display a collective synchronization motion. In this paper, synchronization in nonlinearly coupled dynamical networks is studied. By using the invariance principle of differential equations, some simple linear feedback controllers with dynamical updated strengths are constructed to make the dynamical network synchronize with an isolate node. The feedback strength can be automatically enhanced to make the dynamical network collectively synchronized. The structure of the network can be random, regular, small-world, or scale-free. A numerical example is given to demonstrate the validity of the proposed method, in which the famous Lorenz system is chosen as the node of the network.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:5:p:1254-1259

DOI: 10.1016/j.chaos.2007.07.067

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