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Synchronization in complex dynamical networks. (English) Zbl 1137.93046

Summary: In the past few years, the discovery of small-world and scale-free properties of many natural and artificial complex networks has stimulated increasing interest in further studying the underlying organizing principles of various complex networks. This has led to significant advances in understanding the relationship between the topology and the dynamics of such complex networks. This paper reviews some recent research works on the synchronization phenomenon in various dynamical networks with small-world and scale-free connections.

MSC:

93D15 Stabilization of systems by feedback
37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
90B10 Deterministic network models in operations research
93A30 Mathematical modelling of systems (MSC2010)
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