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S.N. Lagmiri, M. Amghar and N. Sbiti
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Circulation in Computer Science
Published in Volume 2 - Number 2, March 2017
© Lagmiri et al.
Published by CSL Press
https://doi.org/10.22632/ccs-2017-251-59

 

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Security

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Copyright: © 2017 Lagmiri et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

The growth of technology and the emphasis on privacy have intensified the need to find a fast and secure cryptographic method. As chaotic signals are usually noise-like and chaotic systems are very sensitive to the initial condition, they can be used in cryptography.

We have analyzed the properties of two new hyperchaotic systems that we have developed and then propose a secure chaotic cryptography scheme for the transmission of confidential communication.

The purpose of this article is to synchronize our two new hyperchaotic systems. These new systems are the fourth-order and six-order continuous hyperchaotic systems. After studying and verifying the hyperchaotic bihaviour of these systems, a high gain observer class is used to synchronize and stabilize the synchronization error dynamics. Then, a chaotic masking scheme is applied to secure the information between a transmitter and a receiver. The results of the simulations confirm the high performance of the observer designed for these high-dimensional systems and the proposed method leads to an almost perfect restoration of the original signal.

Keywords: Synchronization, hyperchaotic system, High gain observer, chaotic masking scheme

  1. Carroll TL,Pecora LM. Synchronization in chaotic systems.Phys Rev Lett 1990;64:821–4.
  2. Chen G, Dong X. From chaos to order. Singapore: World Scientific; 1998.
  3. A. V. Oppenheim, K. M. Cuomo, and S. H. Strogatz, “ Synchronization of Lorenz-based chaotic circuits with applications to communications”, IEEE Trans. on CAS, part II, vol. 40, no. 10, pp. 626-633, 1993.
  4. Chen HK, Lee CI. Anti-control of chaos in rigid body motion. Chaos, Solitons & Fractals 2004; 21:957–65.
  5. S.N.Lagmiri, M.Amghar, N.Sbiti, “Synchronization between a new chaotic system and Rössler system by a high gain observer”, IEEEXplore, December 2014.
  6. Cafagna D and Grassi G 2003 Int. J. Bifurcation and Chaos 13 2537;
  7. K. M. Cuomo, A. V. Oppenheim, and S. H. Strogatz, IEEE Trans. Circuits Syst. 40, 626, 1993.
  8. L. Kocarev, K. S. Halle, K. Eckert, and L. O. Chua, Int. J. Bifurcation Chaos 2, 709, 1992.
  9. L. M. Pecora and T. L. Carroll, Phys. Rev. A 44, 2374, 1991.
  10. M.F Ahmad, M. Mamat, W.S MadaSanjaya, Z. Salleh,”Numerical simulation dynamical model of three-species food chain with lotka-volterra linear functional response”, Journal of Sustainability Science and Management Volume 6 Number 1, June 2011: 44-50.
  11. S.N.Lagmiri , H.El Mazoudi, N.Elalami "Control of Lotka-Volterra three species system via a high gain observer design”, International Journal of Computer Applications (0975 8887) Volume 77 - No. 15, September 2013.
  12. A. V. Oppenheim, K. M. Cuomo, and S. H. Strogatz, “ Synchronization of Lorenz-based chaotic circuits with applications to communications”, IEEE Trans. on CAS, part II, vol. 40, no. 10, pp. 626-633, 1993.
  13. Femat R. and Solis-Perales G., “On the chaos synchronization phenomena,” Phys. Lett. A, 262 1999.
  14. Carrol T and Pecora L.M. “Synchronization in chaotic systems”, Phys. Rev. Lett., 64, 1990;
  15. Chen HK, Lee CI. Anti-control of chaos in rigid body motion. Chaos, Solitons& Fractals 2004;21:957–65.
  16. Sundarapandian, V. (2012) “Adaptive control and synchronization of a generalized Lotka-Volterra system,” International Journal of Bioinformatics & Biosciences, Vol. 1, No. 1, pp 1-12.
  17. T and Pecora L.M. “Synchronization in chaotic systems”, Phys. Rev. Lett., 64, 1990.
  18. Carrol T and Pecora L.M. “Synchronization in chaotic systems”, Phys. Rev. Lett., 64, 1990.
  19. S.N.Lagmiri , H.ElMazoudi, N.Elalami , "High gain observer for Lotka Volterra system", Numerical Analysis Days and Optimization. Essaouira-Morocco, October 30 to November 1, 2013.
  20. S.N.Lagmiri, M.Amghar, N.Sbiti, “Synchronization between a new chaotic system and Rössler system by a high gain observer”, 14th Mediterranean Microwave Symposium December 12-14, 2014, Marrakech, Morocco.
  21. S.N. Lagmiri, H.El Mazoudi, N. Elalami, “Synchronization of 4-d hyperchaotic qi system by high gain observer”, International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD'2014), May 19-21, 2014. Agadir, Morocco.
  22. S.N.Lagmiri, M.Amghar, N.Sbiti, “Seven Dimensional New Hyperchatic Systems: Dynamics and Synchronization by a High Gain Observer Design”, International Journal of Control and Automation Vol. 10, No. 1 (2017), pp.251-266, Volume 10, No. 1, January 2017.

S.N. Lagmiri, M. Amghar and N. Sbiti (2017). Hyperchaos based Cryptography: New Seven Dimensional Systems to Secure Communications. Circulation in Computer Science, 2, 2 (March 2017), 20-30. https://doi.org/10.22632/ccs-2017-251-59

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