Synchronization of weighted networks and complex synchronized regions

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)3741-3751
Journal / PublicationPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number21
Publication statusPublished - 19 May 2008
Externally publishedYes


Since the Laplacian matrices of weighted networks usually have complex eigenvalues, the problem of complex synchronized regions should be investigated carefully. The present Letter addresses this important problem by converting it to a matrix stability problem with respect to a complex parameter, which gives rise to several types of complex synchronized regions, including bounded, unbounded, disconnected, and empty regions. Because of the existence of disconnected synchronized regions, the convexity characteristic of stability for matrix pencils is further discussed. Then, some efficient methods for designing local feedback controllers and inner-linking matrices to enlarge the synchronized regions are developed and analyzed. Finally, a weighted network of smooth Chua's circuits is presented as an example for illustration. © 2008 Elsevier B.V. All rights reserved.

Research Area(s)

  • Complex synchronized region, Matrix pencil, Network synchronization, Weighted network