Adaptive synchronization of unidirectional and mutual coupled chaotic systems

Chaos, Solitons and Fractals

Volumn 26, Issue 3, 2005, Pages 881-888

  Ge, Zheng Ming ^a   Chen, Yen Sheng ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; SET THEORY; SYNCHRONIZATION; THEOREM PROVING;

ADAPTIVE SYNCHRONIZATION; CHAOTIC SYSTEMS; LORENZ SYSTEMS; LYAPUNOV EXPONENTS;

CHAOS THEORY;

EID: 18844386838     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.01.052     Document Type: Article

References (34)

1. L.M. Pecora, and T.L. Carroll Synchronization in chaotic systems Phys Rev Lett 64 1990 821 824
2. O. Morgül, and E. Solak Observer based synchronization of chaotic systems Phys Rev E 54 1996 4803 4811
3. H. Nijmeijer, and I.M.Y. Mareels An observer looks at synchronization IEEE Trans Circuits Syst-I 44 1997 882 890
4. G. Grassi, and S. Mascolo Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal IEEE Trans Circuits Syst-I 44 1997 1011 1014
5. G. Grassi, and S. Mascolo Synchronizing hyperchaotic systems by observer design IEEE Trans Circuits Syst-II 46 1999 478 483
6. M. Feki Observer-based exact synchronization of ideal and mismatched chaotic systems Phys Lett A 309 2003 53 60
7. M. Feki Synchronization of chaotic systems with parameter uncertainties using sliding observers Int J Bifur Chaos 14 2004 2467 2475
8. J.-S. Lin, J.-J. Yan, and T.-L. Liao Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity Chaos, Solitons & Fractals 24 2005 371 381
9. R. Femat, J. Alvarez-Ramirez, and G. Fernandez-Anaya Adaptive synchronization of high-order chaotic systems: a feedback with low-order parameterization Physica D 139 2000 231 246
10. Lian Adaptive synchronization design for chaotic systems via a scalar signal IEEE Trans Circuits Syst-I 49 2002 17 27
11. C. Wang, and S.S. Ge Synchronization of two uncertain chaotic systems via adaptive backstepping Int J Bifurcation Chaos 11 2001 1743 1751
12. C. Wang, and S.S. Ge Adaptive synchronization of chaotic systems via backstepping design Chaos, Solitons & Fractals 12 2001 1199 1206
13. Y. Hong, H. Qin, and G. Chen Adaptive synchronization of chaotic systems via state or output feedback control Int J Bifur Chaos 11 2001 1149 1158
14. X. Tan, J. Zhang, and Y. Yang Synchronizing chaotic systems using backstepping design Chaos, Solitons & Fractals 16 2003 37 45
15. S. Chen, J. Hu, C. Wang, and J. Lu Adaptive synchronization of uncertain Rössler hyperchaotic system based on parameter identification Phys Lett A 321 2004 50 55
16. Y. Yu, and S. Zhang Adaptive backstepping synchronization of uncertain chaotic system Chaos, Solitons & Fractals 21 2004 643 649
17. S. Bowong, and F.M.M. Kakmeni Synchronization of uncertain chaotic systems via backstepping approach Chaos, Solitons & Fractals 21 2004 999 1011
18. T. Yang, and H.H. Shao Synchronizing chaotic dynamics with uncertainties based on a sliding mode control design Phys Rev E 65 2002 046210
19. Z. Li, and S. Shi Robust adaptive synchronization of Rossler and Chen chaotic systems via sliding technique Phys Lett A 311 2003 389 395
20. C.-C. Wang, and J.-P. Su A new adaptive variable structure control for chaotic synchronization and secure communication Chaos, Solitons & Fractals 20 2004 967 977
21. H.-T. Yau Design of adaptive sliding mode controller for chaos synchronization with uncertainties Chaos, Solitons & Fractals 22 2004 341 347
22. T. Yang, and L.O. Chua Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication IEEE Trans Circuits Syst-I 44 1997 976 988
23. S. Chen, Q. Yang, and C. Wang Impulsive control and synchronization of unified chaotic system Chaos Solitons & Fractals 20 2004 751 758
24. X. Yu, and Y. Song Chaos synchronization via controlling partial state of chaotic systems Int J Bifurcation Chaos 11 2001 1737 1741
25. X.-F. Wang, Z.-Q. Wang, and G.-R. Chen A new criterion for synchronization of coupled chaotic oscillators with application to Chua's circuits Int J Bifurcation Chaos 9 1999 1169 1174
26. R. Tonelli, Y. Lai, and C. Grebogi Feedback synchronization using pole-placement control Int J Bifurcation Chaos 10 2000 2611 2617
27. G. Grassi, and S. Mascolo Synchronizing high dimensional chaotic systems via eigenvalue placement with application to neural networks Int J Bifurcation Chaos 9 1999 705 711
28. J.-Q. Fang, Y. Hong, and G. Chen Switching manifold approach to chaos synchronization Phys Rev E 59 1999 R2523
29. S. Chen A stable-manifold-based method for chaos control and synchronization Chaos, Solitons & Fractals 20 2004 947 954
30. J. Cao, H.X. Li, and D.W.C. Ho Synchronization criteria of Lur'e Systems with time-delay feedback control Chaos, Solitons & Fractals 23 2005 1285 1298
31. V.V. Rumjantsev Vestnik Moskov Univ Ser I Mat Meh 4 1957 9 16
32. Zheng-Ming Ge, and Yen-Sheng Chen Synchronization of unidirectional coupled chaotic systems via partial stability Chaos, Solitons & Fractals 21 2004 101 111
33. N. Rouche, P. Habets, and M. Laloy Stability theory by Liapunov's direct method 1977 Springer-Verlag New York
34. V.V. Rumjantsev, and A.S. Oziraner Stability and stabilization of motion with respect to part of the variables 1987 Nauka (in Russian)