Chaos and Cryptography: A new dimension in secure communications

The European Physical Journal Special Topics volume 223, pages 1441–1445 (2014)Cite this article

Abstract

This issue is a collection of contributions on recent developments and achievements of cryptography and communications using chaos. The various contributions report important and promising results such as synchronization of networks and data transmissions; image cipher; optical and TDMA communications, quantum keys etc. Various experiments and applications such as FPGA, smartphone cipher, semiconductor lasers etc, are also included.

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References

  1. 1.

    E. Ott, Chaos in Dynamical Systems (Cambridge University Page, Cambridge, 2002)

  2. 2.

    L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990)

    MATH  MathSciNet  ADS  Article  Google Scholar 

  3. 3.

    R. Matthew, Cryptologia 8(1), 29 (1984)

    Google Scholar 

  4. 4.

    L. Kocarev, G. Jakimoski, T. Stojanovski, I. Parlitz, Proc. IEEE Int. Symposium Circ. Syst. 4, 514 (1998)

    Google Scholar 

  5. 5.

    L. Kocarev, IEEE Circ. Syst. Mag. 1(3), 6 (2001)

    Article  Google Scholar 

  6. 6.

    S. Mukhopadhyay, M. Mitra, S. Banerjee, edited by S. Banerjee, Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption (IGI Global Publishers, USA, 2010), ISBN: 1615207376, p. 476

  7. 7.

    S. Banerjee, D. Ghosh, A. Ray, A.R. Chowdhury, Europhys. Lett. 81, 20006 (2008)

    ADS  Article  Google Scholar 

  8. 8.

    S. Banerjee, A.P. Misra, L. Rondoni, Physica A 391, 107 (2012)

    ADS  Article  Google Scholar 

  9. 9.

    C. Shannon, Bell Syst. Techn. J. 28(4), 656715 (1949)

    Article  Google Scholar 

  10. 10.

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

  11. 11.

    L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, U. Parlitz, Int. J. Bifurc. Chaos 2, 709 (1992)

    MATH  Article  Google Scholar 

  12. 12.

    M.S. Baptista Phys. Lett. A 240(1), 50 (1998)

    MATH  MathSciNet  ADS  Article  Google Scholar 

  13. 13.

    K.M. Cuomo, A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993)

    ADS  Article  Google Scholar 

  14. 14.

    X. Wu, Chaos 16, 043118 (2006)

    MathSciNet  ADS  Article  Google Scholar 

  15. 15.

    E.A. Rogers-Dakin, J.G. Ojalvo, D.J. De Shazer, R. Roy, Phys. Rev. E 73, 045201 (2006)

    ADS  Article  Google Scholar 

  16. 16.

    G.D. Van Wiggeren, R. Roy, Science 5354, 1198 (1998)

    ADS  Article  Google Scholar 

  17. 17.

    V.A. Lodi, S. Donati, M. Manna, IEEE J. Quant. Electron 30, 1537 (1994)

    ADS  Article  Google Scholar 

  18. 18.

    J. Mork, B. Tromborg, J. Mark, IEEE J. Quant. Electron 28, 93 (1992)

    ADS  Article  Google Scholar 

  19. 19.

    J.K. White, J.V. Moloney, Phys. Rev. A 59(3), 2422 (1999)

    ADS  Article  Google Scholar 

  20. 20.

    P. Saha, S. Banerjee, A.R. Chowdhury, Chaos, Solitons Fractals 14(7), 1083 (2002)

    MATH  MathSciNet  ADS  Article  Google Scholar 

  21. 21.

    S. Banerjee, P. Saha, A.R. Chowdhury, Phys. Lett. A 291(2), 103 (2001)

    MATH  ADS  Article  Google Scholar 

  22. 22.

    A. Murakami, Phys. Rev. E 65(5), 056617 (2002)

    ADS  Article  Google Scholar 

  23. 23.

    K. Ikeda, K. Matsumoto, Physica D 29, 223 (1987)

    MATH  ADS  Article  Google Scholar 

  24. 24.

    Y. Takiguchi, K. Ohyagi, J. Ohtsubo, Opt. Lett. 28(5), 319 (2003)

    ADS  Article  Google Scholar 

  25. 25.

    A. Wang, Y. Wang, H. He, IEEE Photonics Technol. Lett. 20(19), 1633 (2008)

    ADS  Article  Google Scholar 

  26. 26.

    D.M. Kane, J.P. Toomey, M.W. Lee, K.A. Shore, Opt. Lett. 31(1), 20 (2006)

    ADS  Article  Google Scholar 

  27. 27.

    A. Argyris, et al., Nature 7066, 343 (2005)

    ADS  Article  Google Scholar 

  28. 28.

    R. Lang, K. Kobayashi, IEEE J. Quant. Electr. 16, 347 (1980)

    ADS  Article  Google Scholar 

  29. 29.

    J. Zamora Munt, C. Masoller, J. Garcia Ojalvo, R. Roy, Phys. Rev. Lett. 105, 264101 (2010)

    ADS  Article  Google Scholar 

  30. 30.

    J.M.V. Grzybowski, E.E.N. Macau, T. Yoneyama, Eur. Phys. J. Special Topics 223(8), 1447 (2014)

    ADS  Article  Google Scholar 

  31. 31.

    D. Valli, B. Muthuswamy, S. Banerjee, M.R.K. Ariffin, A.W.A. Wahab, K. Ganesan, C.K. Subramaniam, J. Kurths, Eur. Phys. J. Special Topics 223(8), 1465 (2014)

    ADS  Article  Google Scholar 

  32. 32.

    M. Halimi, G. Millérioux, Eur. Phys. J. Special Topics 223(8), 1481 (2014)

    ADS  Article  Google Scholar 

  33. 33.

    S. Bhalekar, Eur. Phys. J. Special Topics 223(8), 1495 (2014)

    ADS  Article  Google Scholar 

  34. 34.

    A. Ray, A. Roychowdhury Eur. Phys. J. Special Topics 223(8), 1509 (2014)

    ADS  Article  Google Scholar 

  35. 35.

    S. Vaidyanathan, Eur. Phys. J. Special Topics 223(8), 1519 (2014)

    ADS  Article  Google Scholar 

  36. 36.

    P. Rani Sharma, A. Singh, A. Prasad, M. Dev Shrimali, Eur. Phys. J. Special Topics 223(8), 1531 (2014)

    ADS  Article  Google Scholar 

  37. 37.

    R. Aguilar-López, R. Martínez-Guerra, C.A. Perez-Pinacho, Eur. Phys. J. Special Topics 223(8), 1541 (2014)

    ADS  Article  Google Scholar 

  38. 38.

    A.K. Mittal, A. Dwivedi, S. Dwivedi, Eur. Phys. J. Special Topics 223(8), 1549 (2014)

    ADS  Article  Google Scholar 

  39. 39.

    S. Mukherjee, S. Kumar Palit, S. Banerjee, M.R.K. Ariffin, D.K. Bhattacharya, Eur. Phys. J. Special Topics 223(8), 1561 (2014)

    ADS  Article  Google Scholar 

  40. 40.

    K. Kemih, M. Halimi, M. Ghanes, H. Fanit, H. Salit, Eur. Phys. J. Special Topics 223(8), 1579 (2014)

    ADS  Article  Google Scholar 

  41. 41.

    Y. Wang, K. Sun, S. He, H. Wang, Eur. Phys. J. Special Topics 223(8), 1591 (2014)

    ADS  Article  Google Scholar 

  42. 42.

    G. Vidal, M.S. Baptista, H. Mancini, Eur. Phys. J. Special Topics 223(8), 1601 (2014)

    ADS  Article  Google Scholar 

  43. 43.

    K. Ganesan, K. Murali, Eur. Phys. J. Special Topics 223(8), 1611 (2014)

    ADS  Article  Google Scholar 

  44. 44.

    P. Shanmugavadivu, P.S. Eliahim Jeevaraj, Eur. Phys. J. Special Topics 223(8), 1623 (2014)

    ADS  Article  Google Scholar 

  45. 45.

    T.M. Hoang, D. Tran, Eur. Phys. J. Special Topics 223(8), 1635 (2014)

    ADS  Article  Google Scholar 

  46. 46.

    N.M.G. Al-Saidi, M.R.M. Said, Eur. Phys. J. Special Topics 223(8), 1647 (2014)

    ADS  Article  Google Scholar 

  47. 47.

    H.T. Panduranga, S.K. Naveen Kumar, Kiran, Eur. Phys. J. Special Topics 223(8), 1663 (2014)

    ADS  Article  Google Scholar 

  48. 48.

    L. Hao, L. Min, Eur. Phys. J. Special Topics 223(8), 1679 (2014)

    ADS  Article  Google Scholar 

  49. 49.

    D.S. Goldobin, Eur. Phys. J. Special Topics 223(8), 1699 (2014)

    ADS  Article  Google Scholar 

  50. 50.

    A.F. Metwaly, M.Z. Rashad, F.A. Omara, A.A. Megahed, Eur. Phys. J. Special Topics 223(8), 1711 (2014)

    ADS  Article  Google Scholar 

  51. 51.

    R. Meucci, K. Al Naimee, M. Ciszak, S. De Nicola, S.F. Abdalah, F.T. Arecchi, Eur. Phys. J. Special Topics 223(8), 1729 (2014)

    ADS  Article  Google Scholar 

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Author information

Affiliations

  1. Institute for Mathematical Research, Universiti Putra Malaysia, Putra, Malaysia

    Santo Banerjee

  2. Humboldt University, Berlin, Germany

    J. Kurths

  3. Potsdam Institute for Climate Impact Research, Potsdam, Germany

    J. Kurths

  4. Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen, UK

    J. Kurths

Authors
  1. Santo Banerjee
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  2. J. Kurths
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Corresponding authors

Correspondence to Santo Banerjee or J. Kurths.

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Banerjee, S., Kurths, J. Chaos and Cryptography: A new dimension in secure communications. Eur. Phys. J. Spec. Top. 223, 1441–1445 (2014). https://doi.org/10.1140/epjst/e2014-02208-9

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