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Reconstruction of the coupling architecture in an ensemble of coupled time-delay systems

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Abstract

A method for reconstructing the coupling architecture and values in an ensemble of time-delay interacting systems with an arbitrary number of couplings between ensemble elements is proposed. This method is based on reconstruction of the model equations of ensemble elements and diagnostics of the coupling significance by successive trial exclusion or adding coupling coefficients to the model.

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References

  1. V. S. Afraimovich, V. I. Nekorkin, G. V. Osipov, and V. D. Shaleev, Stability, Structures, and Chaos in Nonlinear Synchronization Networks (World Scientific, Singapore, 1995).

    Google Scholar 

  2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge Univ. Press, Cambridge, 2001).

    Book  MATH  Google Scholar 

  3. C. Bick, M. Timme, D. Paulikat, et al., Phys. Rev. Lett. 107(24), 244101 (2011).

    Article  ADS  Google Scholar 

  4. A. A. Temirbayev, Z. Z. Zhanabaev, S. B. Tarasov, V. I. Ponomarenko, and M. Rosenblum, Phys. Rev. E 85(1), 015204 (2012).

    Article  ADS  Google Scholar 

  5. M. Timme, Phys. Rev. Lett. 98(22), 224101 (2007).

    Article  ADS  Google Scholar 

  6. I. T. Tokuda, S. Jain, I. Z. Kiss, and J. L. Hudson, Phys. Rev. Lett. 99(6), 064101 (2007).

    Article  ADS  Google Scholar 

  7. D. A. Smirnov and B. P. Bezruchko, Phys. Rev. E 79(4), 046204 (2009).

    Article  MathSciNet  ADS  Google Scholar 

  8. V. I. Ponomarenko, M. D. Prokhorov, A. S. Karavaev, and B. P. Bezruchko, JETP 100(3), 457 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  9. V. I. Ponomarenko and M. D. Prokhorov, Tech. Phys. Lett. 36(10), 902 (2010).

    Article  ADS  Google Scholar 

  10. J. A. Nelder and R. Mead, Comput. J. 7(4), 308 (1965).

    MATH  Google Scholar 

  11. M. Kendall and A. Stuart, The Advanced Theory of Statistics (MacMillan, New York, 1979).

    MATH  Google Scholar 

  12. N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1995), Vol. 2.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Radio Engineering and Electronics (Saratov Branch), Russian Academy of Sciences, Saratov, 410019, Russia

    I. V. Sysoev, V. I. Ponomarenko & M. D. Prokhorov

Authors
  1. I. V. Sysoev
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  2. V. I. Ponomarenko
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  3. M. D. Prokhorov
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Corresponding author

Correspondence to M. D. Prokhorov.

Additional information

Original Russian Text © I.V. Sysoev, V.I. Ponomarenko, M.D. Prokhorov, 2012, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 38, No. 15, pp. 1–9.

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Sysoev, I.V., Ponomarenko, V.I. & Prokhorov, M.D. Reconstruction of the coupling architecture in an ensemble of coupled time-delay systems. Tech. Phys. Lett. 38, 687–690 (2012). https://doi.org/10.1134/S1063785012080135

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  • DOI: https://doi.org/10.1134/S1063785012080135

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