Synchronization of the unified chaotic system and application in secure communication

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 6, 2009, Pages 2793-2806

  Grzybowski, J M V ^a   Rafikov, M ^b   Balthazar, J M ^c  

^a UNIVERSIDADE REGIONAL DO NOROESTE DO ESTADO DO RIO GRANDE DO SUL   (Brazil)

^b UNIVERSIDADE FEDERAL DO ABC   (Brazil)

^c SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Chaos; Communication; Synchronization

Indexed keywords

CHAOTIC SYSTEMS; CRYPTOGRAPHY;

LINEAR FEEDBACK CONTROL; UNIFIED CHAOTIC SYSTEMS;

SYNCHRONIZATION;

EID: 58349096239     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.09.028     Document Type: Article

References (36)

1. Alvarez G., and Li S. Breaking network security based on synchronized. Comput Commun 27 (2004) 1679-1681
2. Alvarez G., Li S., Montoya F., Pastor G., and Romera M. Breaking projective chaos synchronization secure communication using filtering and generalized synchronization. Chaos, Solitons Fractals 24 (2004) 775-783
3. Alvarez G., Li S., Montoya F., Pastor G., and Romera M. Breaking a secure communication scheme based on the phase synchronization of chaotic systems. Chaos 14 (2004) 274-278
4. Alvarez G., and Li S. Some basic requirements for chaos-based cryptosystems. Int J Bifurc Chaos Appl Sci Eng 16 8 (2006) 2129-2152
5. Cherrier E., Boutayeb M., and Ragot J. Observer-based synchronization and input recovery for a class of chaotic models. IEEE Trans Circ Syst - Part I 53 (2006) 1977-1988
6. Cuomo K.M., and Oppenheim A.V. Circuit implementation of synchronized chaos with applications to communications. Phys Rev Lett 71 (1993) 65-68
7. Elabbasy E.M., Agiza H.N., and El-Dessoky M.M. Global chaos synchronization for four scroll attractor by nonlinear control. Sci Res Essay 1 3 (2006) 65-71
8. Emadzadeh AA, Haeri M. Global Synchronization of two different chaotic systems via nonlinear control. In: Proceedings of the ICCAS, Gyeonggi-Do, Korea; 2005.
9. Galias Z. Study of synchronization of linearly coupled hyperchaotic systems. In: Proceedings of the European conference on circuit theory and design, vol. 1; 1997. p. 296-301.
10. Garfinkel S., and Spafford G. Practical unix and internet security (1996), O' Reilly & Associates Inc., Sebastopol (CA), USA
11. Ghosh D., Chowdhury A.R., and Saha P. On the various kinds of synchronization in delayed Duffing-Van der Pol system. Commun Nonlinear Sci Numer Simulat 13 (2008) 790-803
12. Ghosh D., Banerjee S., and Chowdhury A.R. Synchronization between variable time-delayed systems and cryptography. Euro Phys Lett 80 (2007) 30006-30012
13. Grassi G, Mascolo S. Design of nonlinear observers for hyperchaos synchronization using a scalar signal. In: Proceedings of the IEEE, vol. 3; 1998. p. 283-6.
14. Grassi G., and Mascolo S. Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal. IEEE Trans Circ Syst I - Fundam Theor Appl 44 10 (1997) 1011-1014
15. Ott E., Grebogi C., and Yorke J.A. Controlling chaos. Phys Rev Lett 64 (1990) 1196-1199
16. Grzybowski JMV, Rafikov M. Sincronização do sistema caótico unificado via controle ótimo linear feedback com aplicação em comunicação. In: Proceedings of the XXX CNMAC, Florianópolis, Brazil; 2007.
17. Harb AM, Ahmad WM. Chaotic systems synchronization in secure communication systems. In: Proceedings of the 2006 World congress in computer science computer engineering, and applied computing, Las Vegas; 2006.
18. Hwang C.C., Chow H.Y., and Wang Y.K. A new feedback control of a modified Chua's circuit system. Physica D 92 (1996) 95-100
19. Jiang G.P., Chen G., and Tang W.K.S. A new criterion for chaos synchronization using linear state feedback control. Int J Bifurc Chaos 13 8 (2003) 2343-2351
20. Kocarev L., and Parlitz U. General approach for chaotic synchronization with applications to communications. Phys Rev Lett 74 25 (1995) 5028-5031
21. Li D., Lu J., and Wu X. Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems. Chaos, Solitons Fractals 23 (2005) 79-85
22. Lu J., Wu X., Han X., and Lü J. Adaptive feedback synchronization of a unified chaotic system. Phys Lett A 329 (2004) 327-333
23. Lu J., Wu X., and Lü J. Synchronization of a unified chaotic system and the application in secure communication. Phys Lett A 305 (2002) 365-370
24. Mancilla D., and Hernandez C. A note on chaos-based communication schemes. Rev Mex Fís 51 3 (2005) 265-269
25. Mascolo S. Backstepping design for controlling Lorenz chaos. In: Proceedings of the 36th conference on decision and control, San Diego, CA, USA; 1997.
26. Min L., and Jing J. A new theorem to synchronization of unified chaotic systems via adaptive control. Chaos, Solitons Fractals 24 5 (2004) 1363-1371
27. Pecora L., and Carroll T. Synchronization in chaotic systems. Phys Rev Lett 64 8 (1990) 821-824
28. Pogromsky A., and Nijmeijer H. Observer-based robust synchronization of dynamical systems. Int J Bifurc Chaos 8 11 (1998) 2243-2254
29. Rafikov M., and Balthazar J.M. On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Commun Nonlinear Sci Numer Simulat 13 (2008) 1246-1255
30. Sobhy MI, Shehata AR. Chaotic algorithm for data encryption. In: Proceedings of IEEE international conference on acoustics, speech, and signal processing, vol. 1; 2001. p. i-xcii.
31. Sobhy MI, Shehata AR. Methods of attacking chaotic encryption and countermeasures. In: Proceedings of IEEE international conference on acoustics, speech, and signal processing, vol. 2; 2001. p. 1001-4.
32. Tian L., Xu J., and Sun M. Chaos synchronization of the energy resource chaotic system with active control. Int J Nonlinear Sci 3 (2001) 228-234
33. Wang C., and Ge S.S. Adaptive backstepping control of uncertain Lorenz system. Int J Bifurc Chaos 11 4 (2001) 1115-1119
34. Wong K.W., Kwok B.S.H., and Law W.S. A fast image encryption scheme based on chaotic standard map. Phys Lett A 298 (2002) 238-242
35. Yang T., Yang C.M., and Yang L.B. A detailed study of adaptive control of chaotic systems with unknown parameters. Dyn Contr 8 (1998) 255-267
36. Yassen M.T. Chaos synchronization between two different chaotic systems using active control. Chaos, Solitons Fractals 23 (2005) 131-140