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Role of disorder on the signal amplification in an array of unidirectionally coupled MEMS

  • Murielle Vanessa TchakuiEmail author
  • Pere Colet
  • Paul Woafo
Regular Article

Abstract

In a recent work, it was shown that sinusoidal signals are amplified in an array of unidirectionnally coupled MEMS and when the number of MEMS units was large enough, an instability leading to chaotic behavior was observed [M.V. Tchakui et al., Eur. Phys. J. B 89, 22 (2016)]. In this work, we explore the role of disorder in natural frequencies on the propagation and amplification of a signal in such an array. Considering a random Gaussian distribution of natural frequencies, it is found that for small disorder strength, the propagation takes place leading to oscillations in the array. Along the network, a decrease of oscillations amplitude is observed in proportion as the disorder strength grows up. With large coupling strength, the second transition to chaotic behavior is further postponed to a large MEMS rank up to its disappearance as the disorder strength increases in a broaden frequency range. For very large disorder strength the signal amplitude is damped to zero and there appears oscillations death.

Graphical abstract

Keywords

Statistical and Nonlinear Physics 

References

  1. 1.
    M. Sebek, R. Tönjes, I.Z. Kiss, Phys. Rev. Lett. 116, 068701 (2016) ADSCrossRefGoogle Scholar
  2. 2.
    B.B. Johnson, S.V. Dhople, A.O. Hamadeh, P.T. Krein, IEEE Trans. Circ. Syst. I 61, 834 (2014) Google Scholar
  3. 3.
    M.V. Tchakui, V.Y. Taffoti, P. Woafo, Nonlinear Dyn. 84, 1961 (2016) CrossRefGoogle Scholar
  4. 4.
    I.V. Ermakov, S.T. Kingni, V.Z. Tronciu, J. Danckaert, Opt. Commun. 286, 265 (2013) ADSCrossRefGoogle Scholar
  5. 5.
    W.D. Kepseu, P. Woafo, Phys. Rev. E 78, 011922 (2008) ADSCrossRefGoogle Scholar
  6. 6.
    A. Mboussi Nkomidio, S. Noubissi, P. Woafo, Phys. Lett. A 378, 857 (2014) ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    W. Lin, Y. Wang, H. Ying, Y.C. Lai, X. Wang, Phys. Rev. E 92, 012912 (2015) ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, P. Mosiolek, T. Kapitaniak, Chaos 20, 013111 (2010) ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    O. D’Huys, R. Vicente, T. Erneux, J. Danckaert, I. Fischer, Chaos 18, 037116 (2008) ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    C. Yao, M. Zhan, Phys. Rev. E 81, 061129 (2010) ADSCrossRefGoogle Scholar
  11. 11.
    B.J. Breen, A.B. Doud, J.R. Grimm, A.H. Tanasse, S.J. Tanasse, J.F. Lindner, K.J. Maxted, Phys. Rev. E 83, 037601 (2011) ADSCrossRefGoogle Scholar
  12. 12.
    V. In, A.R. Bulsara, A. Palacios, P. Longhini, A. Kho, J.D. Neff, Phys. Rev. E 68, 045102 (2003) ADSCrossRefGoogle Scholar
  13. 13.
    V. In, A.R. Bulsara, A. Palacios, P. Longhini, A. Kho, Phys. Rev. E 72, 045104 (2005) ADSCrossRefGoogle Scholar
  14. 14.
    S. Rajamani, S. Rajasekar, Phys. Scr. 88, 015010 (2013) ADSCrossRefGoogle Scholar
  15. 15.
    V. In, A. Kho, J.D. Neff, A. Palacios, P. Longhini, B.K. Meadows, Phys. Rev. Lett. 91, 244101 (2003) ADSCrossRefGoogle Scholar
  16. 16.
    L. Borkowski, P. Perlikowski, T. Kapitaniak, A. Stefanski, Phys. Rev. E 91, 062906 (2015) ADSCrossRefGoogle Scholar
  17. 17.
    M.V. Tchakui, P. Woafo, P. Colet, Eur. Phys. J. B 89, 22 (2016) ADSCrossRefGoogle Scholar
  18. 18.
    A.F. Talla, R. Martinenghi, G.R. Goune Chengui, J.H. Talla Mbé, K. Saleh, A. Coillet, G. Lin, P. Woafo, Y.K. Chembo, IEEE J. Quant. Electr. 51, 5000108 (2015) CrossRefGoogle Scholar
  19. 19.
    J. Um, H. Hong, H. Park, Phys. Rev. E 89, 012810 (2014) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Murielle Vanessa Tchakui
    • 1
    • 2
    Email author
  • Pere Colet
    • 2
  • Paul Woafo
    • 1
    • 3
  1. 1.Lab. Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaounde IYaoundeCameroon
  2. 2.IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB), Campus Universitat Illes Balears07122 Palma de MallorcaSpain
  3. 3.Applied Physics Research Group (APHY), Vrije Universiteit Brussel1050 BrusselsBelgium

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