Global synchronization criterion and adaptive synchronization for new chaotic system

Chaos, Solitons and Fractals

Volumn 23, Issue 4, 2005, Pages 1299-1309

  Elabbasy, E M ^a   Agiza, H N ^a   El Dessoky, M M ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFERENCE EQUATIONS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; SYNCHRONIZATION; TOPOLOGY;

CHAOTIC SYSTEM; FEEDBACK COUPLING; LYANUPOV STABILITY;

CHAOS THEORY;

EID: 6344233654     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(04)00381-9     Document Type: Article

References (27)

1. Hubler AW. Adaptive control of chaotic system [J]. Helv Phys Acta 1989;62:343-6.
2. Ott E, Grebogi C, Yorke JA. Controlling chaos [J]. Phys Rev Lett 1990;64:1196-9.
3. Pecora LM, Carroll TM. Synchronization of chaotic systems. Phys Rev Lett 1990;64(8):821-30.
4. Carroll TL, Pecora LM. Synchronizing a chaotic systems. IEEE Trans Circuits Systems 1991;38:453-6.
5. Chen G, Dong X. From chaos to order. Singapore: World Scientific; 1998.
6. Hu G, Xiao J, Zheng Z. Chaos control. China: Shanghai Scientific and Technological Education Publishing House; 2000.
7. Wang G, Yu X, Chen S. Chaos control, synchronization and its application, China: National Defense Industry Publishing House; 2001.
8. Lu J, Lu J, Chen S. Chaotic time series analysis and its application. China: Wuhan University Press; 2002.
9. Chen G, Xie Q. Synchronization stability analysis of the chaotic Rossler system. Int J Bifur Chaos 1996;6(11);2153-61.
10. Elabbasy EM, Agiza HN, El-Dessoky MM. Synchronization of modified Chen system. Int J Bifur Chaos 2004; 14(11).
11. Liao T-L, Tsai S-H. Adaptive synchronization of chaotic systems and its application to secure communications. Chaos, Solitons & Fractals 2000;11(9):1387-96.
12. Jiang G-P, Chen G, Tang KS. A new criterion for chaos synchronization using linear state feedback control. Int J Bifur Chaos 2002;13(8):2343-51.
13. Elabbasy EM, Agiza HN, El-Dessoky MM. Adaptive synchronization of Lü system with uncertain parameters. Chaos, Solitons & Fractals 2004;21:657-67.
14. Liao T. Adaptive synchronization of two Lorenz systems. Chaos, Solitons & Fractals 1998;9:1555-61.
15. Agiza HN, Yassen MT. Synchronization of Rossler and Chen chaotic dynamical systems using active control. Chaos, Solitons & Fractals 1998;9:1555-61.
16. Elabbasy EM, Agiza HN, El-Dessoky MM. Controlling and synchronization of Rossler system with uncertain parameters. Int J Nonlinear Sci Numer Simulat 2004;5(2):171-81.
17. Jiang GP, Tang KS. A global synchronization criterion for coupled chaotic systems via unidirectional linear error feedback approach. Int J Bifur Chaos 2002;12(10):2239-53.
18. Jiang GP, Tang KS, Chen GR. A simple global synchronization criterion for coupled chaotic systems. Chaos, Solitons & Fractals 2003;15:925-35.
19. Sun J, Zhang Y. Some simple global synchronization criterion for coupled time-varying chaotic systems. Chaos, Solitons & Fractals 2004;19:93-8.
20. Chen G, Ueta T. Yet another chaotic attractor. Int J Bifur Chaos 1999;9:1465-6.
21. Lu J, Chen G. A new chaotic attractor coined. Int J Bifur Chaos 2002;12(3):659-61.
22. Vaněǒek, Čelikovský. Control systems: From linear analysis to synthesis of chaos. London: Prentice-Hall; 1996.
23. Sparrow C. The Lorenz equations: Bifurcations, chaos, and strange attractors. New York: Springer-Verlag; 1982.
24. Lorenz EN. Deterministic nonperiodic flows. J Atmos Sci 1963;20:130-41.
25. Lu J, Chen G, Cheng D, Čelikovský S. Bridge the gap between the Lorenz system and the Chen system. Int J Bifur Chaos 2002;12:2917-26.
26. Liu W, Chen G. Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor? Int. J. Bifur. Chaos 2004;14(4).
27. Lü J, Chen G, Chen DZ. A new chaotic system and beyond: the generalized Lorenz-like system. Int J Bifur Chaos, in press.