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Effect of inhomogeneous coupling on the synchronization of a network

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Abstract

The synchronization properties of a distance dependent coupling induced network of logistic maps have been investigated. Synchronized periodic orbits, synchronized chaos, cluster, etc. emerge as a result of inhomogeneity in coupling. Of course, coupling constant and coupling function have huge impact on generating different dynamical behavior. The condition for the existence of synchronized fixed point orbit is simulated. It has also been found that the state variable exists even in a range of the parameter for which the local map diverges. In this context, the condition for the divergence of the network has been determined analytically. These results are in good agreement with the numerical findings.

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References

  1. H. Fujisaka, T. Yamada, Prog. Theor. Phys. 69, 32 (1983)

    Article  ADS  Google Scholar 

  2. L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998)

    Article  ADS  Google Scholar 

  3. X. Yang, J. Lu, D.W.C. Ho, Q. Song, Appl. Math. Modell. 59, 379 (2018)

    Article  Google Scholar 

  4. S. Acharyya, R.E. Amritkar, Eur. Phys. J. Special Topics, 222, 939 (2013)

    Article  ADS  Google Scholar 

  5. X. Wang, G. Chen, IEEE Circuit Syst. Mag. 3, 6 (2003)

    Article  Google Scholar 

  6. X. Wang, J. Bifurc. Chaos 12, 885 (2002)

    Article  Google Scholar 

  7. X. Li, G. Chen, IEEE Trans. Circuit Syst. I 50, 1381 (2003)

    Article  Google Scholar 

  8. T. Nishikawa, A.E. Motter, Y-C. Lai, F.C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003)

    Article  ADS  Google Scholar 

  9. C. Zhou, A.E. Motter, J. Kurths, Phys. Rev. Lett. 96, 034101 (2006)

    Article  ADS  Google Scholar 

  10. C. Li, G. Chen, Physica A 343, 263 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  11. H. Gao, J. Lam, G. Chen, Phys. Lett. A 360, 263 (2006)

    Article  ADS  Google Scholar 

  12. Z. Li, J.J. Lee, inInternational Conference on Mechatronics and Automation (IEEE, 2007), pp. 343–347

  13. P.M. Gade, C.K. Hu, Phys. Rev. E. 62, 6409 (2000)

    Article  ADS  Google Scholar 

  14. N.B. Ouchi, K. Kaneko, Chaos 10, 359 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  15. P. Balint, G. Keller, F.M. Selley, I.P. Toth, Nonlinearity 31, 3770 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  16. Y. Jiang, Phys. Lett. A 267, 342 (2000)

    Article  ADS  Google Scholar 

  17. N.K. Kamal, S. Sinha, Eur. Phys. J. Special Topics 222, 905 (2013)

    Article  ADS  Google Scholar 

  18. P.G. Lind, A. Nunes, J.A.C. Gallas, Physica A 371, 100 (2006)

    Article  ADS  Google Scholar 

  19. C.F. Woellner, S.R. Lopes, R.L. Viana, I.L. Caldas, Chaos, Solitons Fractals 41, 2201 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  20. J. Petereit, A. Pikovsky, Commun. Nonlinear Sci. Numer. Simul. 44, 344 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  21. A.E. Motter, C.S. Zhou, J. Kurths, Europhys. Lett. 69, 334 (2005)

    Article  ADS  Google Scholar 

  22. J.W. Scannell, G.A.P.C. Burns, C.C. Hilgetag, M.A. O’Neil, M.P. Young, Cereb. Cortex 9, 277 (1999)

    Article  Google Scholar 

  23. G. Korniss, M.A. Novotny, H. Guclu, Z. Toroczkai, P.A. Rikvold, Science 299, 677 (2003)

    Article  ADS  Google Scholar 

  24. B.T. Grenfell, N.B. Otter, K. Jens, Nature (London) 414, 716 (2001)

    Article  ADS  Google Scholar 

  25. A.C. Marti, C. Masoller, Phys. Rev. E 67, 056219 (2003)

    Article  ADS  Google Scholar 

  26. J. Zhu, Z. Chen, X. Liu, Phys. Rev. E 93, 042417 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  27. S. Sinha, Phys. Rev. E 66, 016209 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  28. M. Nag, S. Poria, Chaos 25, 083114 (2015)

    Article  ADS  MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, Serampore Girls’ College, Serampore, Hooghly-712201, West Bengal, India

    Mayurakshi Nag

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  1. Mayurakshi Nag
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Correspondence to Mayurakshi Nag.

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Nag, M. Effect of inhomogeneous coupling on the synchronization of a network. Eur. Phys. J. B 93, 154 (2020). https://doi.org/10.1140/epjb/e2020-100439-5

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  • DOI: https://doi.org/10.1140/epjb/e2020-100439-5

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