Synchronization in complex networks with switching topology

Lei Wang, Qing Guo Wang

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)

Abstract

This Letter investigates synchronization issues of complex dynamical networks with switching topology. By constructing a common Lyapunov function, we show that local and global synchronization for a linearly coupled network with switching topology can be evaluated by the time average of second smallest eigenvalues corresponding to the Laplacians of switching topology. This result is quite powerful and can be further used to explore various switching cases for complex dynamical networks. Numerical simulations illustrate the effectiveness of the obtained results in the end.

Original languageEnglish
Pages (from-to)3070-3074
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number34
DOIs
Publication statusPublished - 8 Aug 2011
Externally publishedYes

Keywords

  • Common Lyapunov function
  • Complex networks
  • Switching topology
  • Synchronization

ASJC Scopus subject areas

  • General Physics and Astronomy

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