Predicting the synchronization time in coupled-map networks

G. X. Qi, H. B. Huang, C. K. Shen, H. J. Wang, and L. Chen
Phys. Rev. E 77, 056205 – Published 9 May 2008
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  • INTRODUCTION
  • THEORETICAL ANALYSIS
  • ILLUSTRATION
  • TWO CLASSES OF NETWORKS
  • NONRECIPROCITY EFFECTS
  • DISCUSSION AND CONCLUSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    An analytical expression for the synchronization time in coupled-map networks is given. By means of the expression, the synchronization time for any given network can be predicted accurately. Furthermore, for networks in which the distributions of nontrivial eigenvalues of coupling matrices have some unique characteristics, analytical results for the minimal synchronization time are given.

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    • Received 3 January 2008

    DOI:https://doi.org/10.1103/PhysRevE.77.056205

    ©2008 American Physical Society

    Authors & Affiliations

    G. X. Qi1,*, H. B. Huang1,†, C. K. Shen2, H. J. Wang3, and L. Chen1

    • 1Department of Physics, Southeast University, Nanjing 210096, China
    • 2Department of Physics, Nanjing University of Technology, Nanjing 210009, China
    • 3Department of Physics, Nanjing Xiaozhuang University, Nanjing 210017, China

    • *Present address: Research Center Jülich, Institute of Neurosciences and Biophysics INB-3, Leo-Brandt-Strasse, 52425 Jülich, Germany.
    • †Corresponding author. hongbinh@seu.edu.cn

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    Issue

    Vol. 77, Iss. 5 — May 2008

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