Synchronization analysis of delayed complex networks with time-varying couplings

Ping Li and Zhang Yi

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 14, 3729-3737

Abstract: In this paper, a new method is presented to analyze the linear stability of the synchronized state in arbitrarily coupled complex dynamical systems with time delays. The coupling configurations are not restricted to the symmetric and irreducible connections or the non-negative off-diagonal links. The stability criteria are obtained by using Lyapunov–Krasovskii functional method and subspace projection method. These criteria reveal the relationship between coupling matrices and stability of the dynamical networks.

Keywords: Synchronization; Complex networks; Time delay; Linear stability (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:14:p:3729-3737

DOI: 10.1016/j.physa.2008.02.008

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