Synchronization of weighted networks and complex synchronized regions
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 3741-3751 |
Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 372 |
Issue number | 21 |
Online published | 29 Feb 2008 |
Publication status | Published - 19 May 2008 |
Externally published | Yes |
Link(s)
Abstract
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
Citation Format(s)
Synchronization of weighted networks and complex synchronized regions. / Duan, Zhisheng; Chen, Guanrong; Huang, Lin.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 21, 19.05.2008, p. 3741-3751.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 21, 19.05.2008, p. 3741-3751.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review