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Communication scheme using a hyperchaotic semiconductor laser model: Chaos shift key revisited

  • N. A. A. Fataf
  • Sanjay Kumar Palit
  • Sayan Mukherjee
  • M. R. M. Said
  • Doan Hoai Son
  • Santo Banerjee
Regular Article
  • 33 Downloads
Part of the following topical collections:
  1. Focus Point on Systems and Security: Advanced Methods with Chaos and Complexity

Abstract.

Based on the Maxwell-Bloch equations, we considered a five-dimensional ODE system, describing the dynamics of a semiconductor laser. The system has rich dynamics with multi-periodic, chaotic and hyperchaotic states. In this analysis, we have investigated the hyperchaotic nature of the aforesaid model and proposed a communication scheme, the generalized form of chaos shift keys, where the coupled systems do not need to be in the synchronized state. The results are implemented with the hyperchaotic laser model followed by a comprehensive security analysis.

References

  1. 1.
    N.B. Abraham, P. Mandel, L.M. Narducci, in Progress in Optics, Vol. XXV, edited by E. Wolf (North-Holland, Amsterdam, 1988)Google Scholar
  2. 2.
    C.O. Weiss, R. Vilaseca, Dynamics of Lasers (VCH Publishing, 1991)Google Scholar
  3. 3.
    H. Haken, Phys. Lett. A 53, 77 (1975)ADSCrossRefGoogle Scholar
  4. 4.
    G.P. Agarwal, Nonlinear Fiber Optics, edited by Paul Liao, 2nd edition (Academic Press, 1995)Google Scholar
  5. 5.
    G.H.M. van Tartwijk, G.P. Agarwal, IEEE J. Quantum Electron. 34, 1854 (1998)ADSCrossRefGoogle Scholar
  6. 6.
    S. Banerjee, P. Saha, A. Roy Choudhury, Phys. Lett. A 291, 103 (2001)ADSCrossRefGoogle Scholar
  7. 7.
    P. Saha, S. Banerjee, A. Roy Choudhury, Chaos, Solitons Fractals 14, 1083 (2002)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    O.E. Rössler, Phys. Lett. A 71, 155 (1979)ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    U.E. Vincent, R. Guo, Phys. Lett. A 375, 2322 (2011)ADSCrossRefGoogle Scholar
  10. 10.
    C. Zeng-qiang, Y. Yong, Q. Guo-yuan, Y. Zhu-zhi, Phys. Lett. A 360, 696 (2007)ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    T. Gao, G. Chen, Z. Chen, S. Cang, Phys. Lett. A 361, 78 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    S. Banerjee, P. Saha, A. Roy Chowdhury, Phys. Scr. 63, 177 (2001)ADSCrossRefGoogle Scholar
  13. 13.
    Z. Wei, P. Yu, W. Zhang, M. Yao, Int. J. Bifurc. Chaos 25, 1550028 (2015)CrossRefGoogle Scholar
  14. 14.
    Z. Wei, P. Yu, W. Zhang, M. Yao, Nonlinear Dyn. 82, 131 (2015)CrossRefGoogle Scholar
  15. 15.
    C. Li, J.C. Sprott, Int. J. Bifurc. Chaos 24, 1450034 (2014)CrossRefGoogle Scholar
  16. 16.
    Y. Chen, Q. Yang, Nonlinear Dyn. 77, 569 (2014)CrossRefGoogle Scholar
  17. 17.
    E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993)Google Scholar
  18. 18.
    K. Briggs, Phys. Lett. A 151, 27 (1990)ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    M.T. Rosenstein, J.J. Collins, C.J. De Luca, Physica D 65, 117 (1993)ADSMathSciNetCrossRefGoogle Scholar
  20. 20.
    A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Physica D 16, 285 (1985)ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990)ADSMathSciNetCrossRefGoogle Scholar
  22. 22.
    S. Banerjee, L. Rondoni, S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011)ADSCrossRefGoogle Scholar
  23. 23.
    S. Banerjee, M.R.K. Ariffin, Opt. Laser Technol. 45, 435 (2013)ADSCrossRefGoogle Scholar
  24. 24.
    S. Xiang, P. Wei, L. Yan, B. Luo, N. Jiang, K. Wen, Opt. Laser Technol. 42, 674 (2010)ADSCrossRefGoogle Scholar
  25. 25.
    Z. Qingchun, Y. Hongxi, Opt. Laser Technol. 47, 208 (2013)CrossRefGoogle Scholar
  26. 26.
    Wang Fei, Opt. Laser Technol. 43, 848 (2011)ADSCrossRefGoogle Scholar
  27. 27.
    S. Banerjee, L. Rondoni, S. Mukhopadhyay, A.P. Misra, Opt. Commun. 284, 2278 (2011)ADSCrossRefGoogle Scholar
  28. 28.
    L. Cardoza-Avendaño, V. Spirin, R.M. López-Gutiérrez, C.A. López-Mercado, C. CruzHernández, Opt. Laser Technol. 43, 949 (2011)ADSCrossRefGoogle Scholar
  29. 29.
    S. Banerjee, S. Mukhopadhyay, L. Rondoni, Opt. Laser Eng. 50, 950 (2012)CrossRefGoogle Scholar
  30. 30.
    T. Kapitaniak, Phys. Rev. E 50, 1642 (1994)ADSCrossRefGoogle Scholar
  31. 31.
    R.E. Amritkar, N. Gupte, Phys. Rev. E 47, 3889 (1993)ADSCrossRefGoogle Scholar
  32. 32.
    L. Kocarev, U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995)ADSCrossRefGoogle Scholar
  33. 33.
    U. Parlitz, L. Kocarev, T. Stojanovski, H. Preckel, Phys. Rev. E 53, 4351 (1996)ADSCrossRefGoogle Scholar
  34. 34.
    J. Gemez, M.A. Matas, Phys. Rev. E 52, R2145 (1995)ADSCrossRefGoogle Scholar
  35. 35.
    H. Dedieu, M.P. Kennedy, M. Hasler, IEEE Trans. Circ. Syst. II 40, 634 (1993)CrossRefGoogle Scholar
  36. 36.
    J.D. Farmer, Physica D 4, 366 (1982)ADSCrossRefGoogle Scholar
  37. 37.
    K.M. Short, A.T. Parker, Phys. Rev. E 58, 1159 (1998)ADSCrossRefGoogle Scholar
  38. 38.
    K.M. Cuomo, A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993)ADSCrossRefGoogle Scholar
  39. 39.
    U. Parlitz, L.O. Chua, L. Kocarev, K.S. Halle, A. Shang, Int. J. Bifurc. Chaos 2, 973 (1992)CrossRefGoogle Scholar
  40. 40.
    G. Kolumban, M.P. Kennedy, L.O. Chua, IEEE Trans. Circ. Syst. I 44, 927 (1997)CrossRefGoogle Scholar
  41. 41.
    T.M. Hoang, M.J. Nakagawa, Phys. Soc. Jpn. 75, 034801 (2006)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • N. A. A. Fataf
    • 1
    • 5
  • Sanjay Kumar Palit
    • 2
  • Sayan Mukherjee
    • 3
  • M. R. M. Said
    • 4
    • 5
  • Doan Hoai Son
    • 6
  • Santo Banerjee
    • 4
    • 5
  1. 1.School of Foundation Studies National DefenceUniversity of MalaysiaKuala LumpurMalaysia
  2. 2.Basic Sciences and Humanities DepartmentCalcutta Institute of Engineering and ManagementKolkataIndia
  3. 3.Department of MathematicsSivanath Sastri CollegeKolkataIndia
  4. 4.Institute for Mathematical ResearchUniversiti Putra MalaysiaUPM SerdangMalaysia
  5. 5.Malaysia-Italy Centre of Excellence for Mathematical ScienceUniversiti Putra MalaysiaSerdangMalaysia
  6. 6.Ha Tinh UniversityHa TinhVietnam

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