Chaos synchronization of coupled Chen_Liao system

Proceedings of 2005 International Conference on Neural Networks and Brain Proceedings, ICNNB'05

Volumn 1, Issue , 2005, Pages 88-93

  Duan, Shukai ^a,b   Liao, Xiaofeng ^a  

^a CHONGQING UNIVERSITY   (China)

^b SOUTHWEST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISTRIBUTED PARAMETER CONTROL SYSTEMS; SYNCHRONIZATION; SYSTEMS ANALYSIS;

CHAOS SYNCHRONIZATION; CHEN_LIAO SYSTEM; DISTRIBUTED DELAYS;

CHAOS THEORY;

EID: 33847134410     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. C. Sparrow, The Lorenz equations: bifurcations, chaos, and strange attactors, NY: Springer-Verlag, 1982.
2. G. Chen, T. Ueta, Yet another chaotic attractor, New York: Academic Press, 1977.
3. Lü JH, Chen G, "A new chaotic attractor coined," Proceedings of the 1992 IEEE Trans. Systems, Man, and Cybernetics, where, 1992, vol. 1, pp. 78-83.
4. A. Vanecek, S. Celikovský, Control Systems: From linear analysis to synthesis of chaos. London: Prentice-Hall: 1996.
5. X. F. Liao, G. Chen. "Hopf bifurcation and chaos analysis of Chen's system with distributed delays". Chaos, Solitons & Fractals 2005, in press.
6. S. Boccaletti, J. Kurths, G. Osipov, D.L. Valladares and C. S. Zhou. "The synchronization of chaotic systems". Physics Reports 2002, vol. 366, pp.1-101.
7. L. M. Pecora, T. L. Carroll. "synchronization of chaotic system". Phys. Rev. Lett. 1990, vol. 64, pp.821-830.
8. C. D. Li, X. F. Liao. "Complete and lag synchronization of hyperchaotic systems using small impulses". Chaos, Solitons & Fractals 2004, vol. 22, pp. 857-867.
9. C. D. Li, X. F. Liao and K. W. Wong. "Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication". Physica D, 2004, vol. 194, pp. 187--202.
10. C. D. Li, X. F. Liao and K. W. Wong. "Lag synchronization of hyperchaos with application to secure communications". Chaos, Solitons & Fractals, 2005, vol. 23, pp.183-193.
11. C. D. Li, X. F. Liao. "Lag synchronizati.on of Rossler system and Chua circuit via a scalar signal". Physics Letters A, 2004, vol. 329, pp.301-308.
12. E. M. Shahverdiev, S. Sivaprakasam and K. A. Shore. "Lag synchronization in time-delayed systems". Physics Letters A,2002, vol. 292, pp.320-324.
13. S. S. Yang, C. K. Duan. "Generalized Synchronization in Chaotic Systems". Chaos, Solitons & Fractals,1998, vol. 9, pp.1703-1707 .
14. J. G. Lu, Y. G. Xi . "Linear generalized synchronization of continuous-time chaotic systems". Chaos, Solitons and Fractals,2003, vol. 17, pp. 825-831.
15. G. Ããlvarez, S. J. Li, F. Montoya, G. Pastor and M. Romera. "Breaking projective chaos synchronization secure communication using filtering and generalized synchronization". Chaos, Solitons and Fractals, 2005; vol. 24, pp.775-783.
16. A. S. Pikovsky, M. G. Rosenblum, G. V. Osipov and J. Kurths. "Phase synchronization of chaotic oscillators by external driving". Physica D, 1997, vol. 104, pp. 219-238.
17. J. W. Shuai, D. M. Durand. "Phase synchronization in two coupled chaotic neurons". Physics Letters A,1999, vol.264, pp.289-297 .
18. M. C. Ho, Y. C. Hung and C. H. Chou. "Phase and anti-phase synchronization of two chaotic systems by using active control". Physics Letters A, 2002, vol. 296, pp.43-48.
19. L. Wu, S. Q. Zhu. "Coexistence and switching of anticipating synchronization and lag synchronization in an optical system". Physics Letters A,2003, vol. 315,pp.101-108.
20. C. M. Kim, S. H. Rim; W. H. Kye, J. W. Ryu and Y. J. Park. "Anti-synchronization of chaotic oscillators". Physics Letters A,2003, vol.22,pp.39-46.
21. H. J. Yu, Y. Z. Liu, "Chaotic synchronization based on stability criterion of linear systems". Physics Letters A,2003, vol. 314, pp. 292-298.