Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

147 Scopus Citations
View graph of relations


Related Research Unit(s)


Original languageEnglish
Pages (from-to)118-134
Journal / PublicationPhysica D: Nonlinear Phenomena
Issue number2
Publication statusPublished - 15 Sept 2006


When a transmission delay occurs in the interconnection of linearly coupled systems described by ordinary differential equations (LCODEs), both synchronization and the final synchronized state will vary. In this paper, mathematical analysis is presented on the synchronization phenomena of LCODEs with a single coupling delay. Criteria are derived for both local and global synchronization. It is known that in addition to the dynamical behaviors of the underlying uncoupled system and the coupling configuration, the coupling strength and the coupling delay also play key roles on the stability of synchronization. Both theoretical and numerical analysis indicate that under some conditions, if the coupling strength is large enough, the coupled system can be completely synchronized for any coupling delay. On the other hand, in some cases, the coupled system can be synchronized if the coupling delay is small enough. © 2006 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Coupling delay, Global synchronization, Local synchronization, Synchronization space, Transverse space