Novel criteria of synchronization stability in complex networks with coupling delays

Qing Yun Wang, Guan Rong Chen, Qi Shao Lu and Fei Hao

Physica A: Statistical Mechanics and its Applications, 2007, vol. 378, issue 2, 527-536

Abstract: Complex networks are wide spread in the real world, arising in fields as disparate as sociology, physics and biology. The information spreading through a complex network is often associated with time delays due to the finite speeds of signal transmission over a distance. Hence, complex networks with coupling delays have gained increasing attention in various fields of science and engineering today. In this paper, based on the theory of asymptotic stability of linear time-delay systems, synchronization stability in complex dynamical networks with coupling delays is investigated, and we derive novel criteria of synchronization state for both delay-independent and delay-dependent stabilities. As illustrative examples, we use the networks with coupling delays and a given coupling scheme to test the theoretical results.

Keywords: Complex networks; Coupling delays; Synchronization stability (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:378:y:2007:i:2:p:527-536

DOI: 10.1016/j.physa.2006.12.002

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