Cluster synchronisation of coupled delay reaction-diffusion systems

Kai-Ning Wu, Ya-Ming Zhang and Liming Wang

International Journal of Systems Science, 2017, vol. 48, issue 16, 3391-3402

Abstract: This paper considers the cluster synchronisation of coupled delay reaction-diffusion systems (DRDSs). First, in light of the technique of matrix representation, we turn the cluster synchronisation of coupled DRDSs into the asymptotical stability of a transformed system. Based on this transformation and by virtue of the Lyapunov-Krasovskii functional method, we provide the sufficient conditions that ensure the cluster synchronisation for DRDSs with constant delay. The effects of spatial domain on the cluster synchronisation is shown by these sufficient conditions. Then, we deal with time-varying delay systems with reaction-diffusion term. The criterion of cluster synchronisation is presented and a brief proof is given. Finally, numerical examples are carried out to show the effectiveness of our results.

Date: 2017
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2017.1382606 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3391-3402

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2017.1382606

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().