Synchronization threshold of a coupled time-delay system

Shangbo Zhou, Hua Li, and Zhongfu Wu
Phys. Rev. E 75, 037203 – Published 30 March 2007
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  • INTRODUCTION
  • SYNCHRONIZATION THRESHOLD
  • CONCLUSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    The synchronization threshold in the general form of a one-way coupled time-delayed system is discussed. Based on the Krasovskii-Lyapunov theory, the deduction process and the application range of the synchronization threshold are given. In addition, a misuse of the synchronization threshold is presented and is illustrated by an example.

    • Figure
    • Received 25 August 2006

    DOI:https://doi.org/10.1103/PhysRevE.75.037203

    ©2007 American Physical Society

    Authors & Affiliations

    Shangbo Zhou1,*, Hua Li2,†, and Zhongfu Wu1

    • 1Department of Computer Science and Engineering, Chongqing University, China 400044
    • 2Department of Mathematics and Computer Science, University of Lethbridge, Canada T1K 3M4

    • *Electronic address: shbzhou@263.net
    • †Electronic address: hua.li@uleth.ca

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    Issue

    Vol. 75, Iss. 3 — March 2007

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