A study on Secure Communication in Hyper-Chaos with SC-CNN using Embedding Method

  • Bae, Young-Chul (Division of Electron Communication and Electrical Engineering, Yosu National University) ;
  • Kim, Ju-Wan (Department of Electrical Engineering, Graduate School of Yosu National Universit) ;
  • Song, Hag-Hyun (Institute of Information Technology Assessment(IITA) ;
  • Kim, Yoon-Ho (Department of Computer Engineering., Mok Won University)
  • Published : 2003.12.01


In this paper, we introduce a hyper-chaos secure communication method using hyper-chaos circuit onsist of State-Controlled Cellular Neural Network SC-CNN). We make a hyper-chaos circuit using SC-CNN with the n-double scroll or Chua's oscillator. A hyper-chaos circuit is created by applying identical n-double scroll or non-identical n-double scroll and Chua's oscillator with weak coupled method to each cell. Hyper-chaos ynchronization was achieved using GS (Generalized Synchronization) method between the transmitter and receiver about each state variable in the SC-CNN. In order to secure communication, we have synthesizing the desired information with a hyper-chaos circuit by adding the information signal to the hyper-chaos signal using the SC-CNN in the transmitter. And then, transmitting the synthesized signal to the ideal channel, we confirm secure communication by separating the information signal and the hyper-chaos signal in the receiver.


Chaos;Chaos Synchronization;Secure Communication;Hyper-chaos;Nonlinear Dynamics


  1. L. O. Chua 'Chua's circuit 10 Years Later', Int. J. Circuit Theory and Application, vol. 22, pp 79-305, 1994
  2. L. O. Chua, M. Itoh,' L. Kocarev, and K. Eckert, 'Chaos Synchronization in Chua's Circuit' J. Circuit. Systems and computers, vol. 3, no. 1, pp. 93-108, 1993 https://doi.org/10.1142/S0218126693000071
  3. K. M. Cuomo, 'Synthesizing Self - Synchronizing Chaotic Arrays', Int. J.Bifurcation and Chaos, vol. 4, no. 3, pp. 727-736, 1993
  4. K. S. Halle, C. W. Wu, M. Itoh and L. O. Chua, 'Spread Spectrum communication through modulation of chaos' Int. J. Bifurcation and Chaos, vol. 3, no. 2, pp.469-477, 1993 https://doi.org/10.1142/S0218127493000374
  5. P. Arena, S. Baglio, L. Fortuna and G..Maganaro, 'Chua's circuit can be generated by CNN cell', IEEE Trans. Circuit and Systems I, CAS-42, pp. 123-125. 1995
  6. M. Brucoli, D. Cafagna, L. Carnimeo & G. Grassi, 'An efficient technique for signal masking using synchronized hyperchaos circuits', Proc. $5^{th}$ Int workshop on Nonlinear Dynamics of Electronic Systems(NDES '97), Moscow, Russia, June 26-27, pp. 229-232, 1997
  7. J.A.k. Suyken, P.F. Curran & L.O. Chua, 'Masterslave synchronization using dynamic output feedback', Int. J. Bifurcation and Chaos, vol. 7, no. 3, 671-679, 1997 https://doi.org/10.1142/S0218127497000467
  8. L. Kocarev, K. S. Halle, K. Eckert and L. O. Chua, 'Expermental Demonstration of Secure Communication via Chaotic Synchronization' Int. J. Bifurcation and Chaos, vol. 2, no. 3, pp. 709-713, 1992 https://doi.org/10.1142/S0218127492000823
  9. K. M. Short, 'Unmasking a modulated chaotic communications scheme', Int. J. Bifurcation and Chaos, vol. 6, no. 2, pp. 367-375, 1996 https://doi.org/10.1142/S0218127496000114
  10. M. Itoh, K. Komeyama, A. Ikeda and L. O. Chua, 'Chaos Synchronization in Coupled Chua Circuits', IEICE. NLP. 92-51. pp. 33-40. 1992
  11. L. Kocarav, L & U. Parlitz, 'Generalized synchronization, predictability and equivalence of unidirectionally coupled dynamical systems,' Phys. Rev.Lett, vol. 76, no.11, pp. 1816-1819, 1996 https://doi.org/10.1103/PhysRevLett.76.1816
  12. J.J. Siotine & W.Li, 'Applied Nonlinear Control', Prentice-Hall, NJ, 1991
  13. L. Kocarev, 'Chaos-based cryptography: A brief overview', IEEE, Vol. pp. 7-21. 2001
  14. L. M. Pecora and T. L. Carroll 'Synchronization in Chaotic System' Phy. Rev. Lett., vol. 64, no. 8, pp. 821-824, 1990 https://doi.org/10.1103/PhysRevLett.64.821
  15. M. Itoh, H. Murakami and L. O. Chua, 'Communication System Via Chaotic Modulations' IEICE. Trans. Fundamenrtals. vol. E77-A, no. 6, pp. 1000-1005, 1994
  16. P.Arena, P.Baglio, F.Fortuna & G.Manganaro, 'Generation of n-double scrolls via cellular neural networks', Int. J. Circuit Theory Appl, 24, 241-252, 1996 https://doi.org/10.1002/(SICI)1097-007X(199605/06)24:3<241::AID-CTA912>3.0.CO;2-J
  17. J.A.K.Suykens, 'n-Double Scroll Hypercubes in 1-D CNNs' Int. J. Bifurcation and Chaos, vol. 7, no. 8, pp. 1873-1885, 1997 https://doi.org/10.1142/S021812749700145X