Secure communications based on the synchronization of the hyperchaotic Chen and the unified chaotic systems

Communications in Nonlinear Science and Numerical Simulation

Volumn 16, Issue 8, 2011, Pages 3279-3293

  Smaoui, N ^a   Karouma, A ^a   Zribi, M ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

Adaptive control; Hyperchaotic Chen systems; Secure communications; Synchronization; Unified chaotic systems

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CHAOTIC SYSTEMS; COMPUTER CONTROL SYSTEMS; CONTROL THEORY; SECURE COMMUNICATION;

ADAPTIVE CONTROL; ADAPTIVE SYNCHRONIZATIONS; ASYMPTOTIC CONVERGENCE; CHAOTICS; CONTROL LAWS; HYPERCHAOTIC; HYPERCHAOTIC CHEN SYSTEM; MASTER SYSTEMS; SLAVE SYSTEMS; UNIFIED CHAOTIC SYSTEMS;

SYNCHRONIZATION;

EID: 79952534583     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.10.023     Document Type: Article

References (22)

1. Agiza H.N. Chaos synchronization of Lü dynamical system. Nonlinear Anal 2004, 58:11-20.
2. Elabbasy E.M., Agiza H.N., El-Dessoky M.M. Adaptive synchronization of a hyperchaotic system with uncertain parameter. Chaos Solitons Fract 2006, 30(5):1133-1142.
3. Lü J., Chen G., Cheng D., Celikovsky S. Bridge the gap between the Lorenz system and the Chen system. Int J Bifurcation Chaos 2002, 12(12):2917-2926.
4. Lü J., Wu X., Lu J. Synchronization of a unified chaotic system and the application in secure communication. Phys Lett A 2002, 305(6):365-370.
5. Ott E., Grebogi C., Yorke J.A. Controlling chaos. Phys Rev Lett 1990, 64(11):1196-1199.
6. Pecora L.M., Carroll T.L. Synchronization in chaotic Systems. Phys Rev Lett 1990, 7(4):520-543.
7. Tan X., Zhang J., Yang Y. Synchronizing chaotic systems using backstepping design. Chaos Solitons Fract 2003, 16(1):37-45.
8. Yang T., Wu C.W., Chua L.O. Cryptography based on chaotic systems. IEEE Trans Circuits Syst 1997, 44(5):469-472.
9. Yang T., Chua L.O. Secure communication via chaotic parameter modulation. IEEE Trans Circuits Syst 1996, 43(9):817-819.
10. Yassen M.T. Chaos synchronization between two different chaotic systems using active control. Chaos solitons Fract 2005, 23(1):131-140.
11. Yassen M.T. Synchronization hyperchaos of hyperchaotic systems. Chaos Solitons Fract 2008, 37:465-475.
12. Zhang Y, Chen S, Zhou H. Synchronizing the noise-perturbed Lü chaotic system. Chaos Solitons Fract; In Press, corrected proof. doi:10.1016/j.chaos.2007.10.057.
13. Wu C.W., Chua L.O. A simple way to synchronize chaotic systems with applications to secure communication systems. Inter J Bifurcation Chaos 1993, 3(6):1619-1627.
14. Wu X., Zhang H. Synchronization of two hyperchaotic systems via adaptive control. Chaos Solitons Fract 2009, 39(5):2268-2273.
15. Wu X., Guan Z.H., Wu Z. Adaptive synchronization between two different hyperchaotic systems. Nonlinear Anal 2008, 68(5):1346-1351.
16. Chen G., Ueta T. Yet another chaotic attractor. Int J Bifurcation Chaos 1999, 9(7):1465-1466.
17. Tao C., Liu X. Feedback and adaptive control and synchronization of a set of chaotic and hyperchaotic systems. Chaos Solitons Fract 2007, 32(4):1572-1581.
18. Wang X., Wang M. Adaptive synchronization for a class of high-dimensional autonomous uncertain chaotic systems. Int J Mod Phys C 2007, 18(3):399-406.
19. Cuomo K.M., Oppenheim A.V., Strogatz S.H. , Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans Circuits Syst 1993, 40:626-633.
20. Dedieu H., Kennedy M.P., Hasler M. Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits. IEEE Trans Circuits Syst 1993, 40:634-642.
21. Austin F, Sun W, Lu X. Estimation of unknown parameters and adaptive synchronization of hyperchaotic systems. Commun Nonlinear Sci Numer Simul; In Press, corrected proof. doi:10.1016/j.cnsns.2009.03.002.
22. Slotine J.J., Li W. Applied nonlinear control 1991, Prentice-Hall, Englewood Cliffs, NJ, 1978.