Synchronization in linearly coupled dynamical networks with distributed time delays

Chun Hsien Li, Suh Yuh Yang

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.

Original languageEnglish
Pages (from-to)2039-2047
Number of pages9
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number7
StatePublished - Jul 2008


  • Coupled Chua's circuits
  • Coupled Hindmarsh-Rose neurons
  • Distributed time delays
  • Exponential synchronization
  • Linearly coupled dynamical networks


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