The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems

Chaos, Solitons and Fractals

Volumn 35, Issue 5, 2008, Pages 980-990

  Ge, Zheng Ming ^a   Yang, Cheng Hsiung ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; NUMERICAL ANALYSIS; STABILITY; SYNCHRONIZATION;

DIFFERENT ORDER SYSTEMS; ERROR DYNAMICS; NULL SOLUTION;

CHAOTIC SYSTEMS;

EID: 35248868404     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.090     Document Type: Article

References (31)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic system. Phys Rev Lett 64 (1990) 821-824
2. Wang C., and Ge S.S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos, Solitons & Fractals 12 (2001) 1199-1206
3. Femat R., Ramirez J.A., and Anaya G.F. Adaptive synchronization of high-order chaotic systems: a feedback with low-order parameterization. Physica D139 (2000) 231-246
4. Morgul O., and Feki M. A chaotic masking scheme by using synchronized chaotic systems. Phys Lett A 251 (1999) 169-176
5. Femat R., and Perales G.S. On the chaos synchronization phenomenon. Phys Lett A262 (1999) 50-60
6. Abarbaned H.D.I., Rulkov N.F., and Sushchik M.M. Generalized synchronization of chaos: the auxiliary systems. Phys Rev E53 (1996) 4528-4535
7. Yang S.S., and Duan C.K. Generalized synchronization in chaotic systems. Chaos, Solitons & Fractals 9 (1998) 1703-1707
8. Yang X.S. Concepts of synchronization in dynamic systems. Phys Lett A 260 (1999) 340-344
9. Yang X.S. A framework for synchronization theory. Chaos, Solitons & Fractals 11 (2000) 1365-1368
10. Chen M.-Y., Han Z.-Z., and Shang Y. General synchronization of Genesio-Tesi system. Int J Bifurcation Chaos 14 1 (2004) 347-354
11. Luigi F., and Domenico P. Quantum-CNN to generate nanoscale chaotic oscillator. Int J Bifurcation Chaos 14 3 (2004) 1085-1089
12. Chen S., Zhang Q., Xie J., and Wang C. A stable-manifold-based method for chaos control and synchronization. Chaos, Solitons & Fractals 20 5 (2004) 947-954
13. Chen S., and Lu J. Synchronization of uncertain unified chaotic system via adaptive control. Chaos, Solitons & Fractals 14 4 (2002) 643-647
14. Liao T. Adaptive synchronization of two Lorenz systems. Chaos, Solitons & Fractals 9 9 (1998) 1555-1561
15. Bai E., and Lonngren K. Sequential synchronization of two Lorenz systems using active control. Chaos, Solitons & Fractals 11 7 (2000) 1041-1044
16. Jiang G.P., Tang K.S., and Chen G.R. A simple global synchronization criterion for coupled chaotic systems. Chaos, Solitons & Fractals 15 (2003) 925-935
17. Zheng-Ming G., Jui-Wen C., and Yen-Sheng C. Chaos anticontrol and synchronization of three time scales brushless DC motor system. Chaos, Solitons & Fractals 22 (2004) 1165-1182
18. Zheng-Ming G., and Ching-I L. Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay. Chaos, Solitons & Fractals 23 (2004) 1855-1864
19. Ge Z.-M., and Chang C.-M. Chaos synchronization and parameters identification of single time scale brushless DC motors. Chaos, Solitons & Fractals 20 (2004) 883-903
20. Zheng-Ming G., and Chien-Cheng C. Phase synchronization of coupled chaotic multiple time scales systems. Chaos, Solitons & Fractals 20 (2004) 639-647
21. Zheng-Ming G., and Wei-Ying L. Chaos synchronization and parameter identification for identical system. Chaos, Solitons & Fractals 21 (2004) 1231-1247
22. Zheng-Ming G., and Wei-Ying L. Anti-control of chaos of two-degrees-of-freedom louderspeaker system and chaos synchronization of different order systems. Chaos, Solitons & Fractals 20 (2004) 503-521
23. Zheng-Ming G., and Yen-Sheng C. Synchronization of unidirectional coupled chaotic systems via partial stability. Chaos, Solitons & Fractals 21 (2004) 101-111
24. Liu F., Ren Y., Shan X., and Qiu Z. A linear feedback synchronization theorem for a class of chaotic systems. Chaos, Solitons & Fractals 13 4 (2002) 723-730
25. Lü J., Zhou T., and Zhang S. Chaos synchronization between linearly coupled chaotic systems. Chaos, Solitons & Fractals 14 4 (2002) 529-541
26. Krawiecki A., and Sukiennicki A. Generalizations of the concept of marginal synchronization of chaos. Chaos, Solitons & Fractals 11 9 (2000) 1445-1458
27. Lu J., and Xi Y. Linear generalized synchronization of continuous-time chaotic systems. Chaos, Solitons & Fractals 17 (2003) 825-831
28. Xue Y.-J., and Yang S.-Y. Synchronization of generalized Henon map by using adaptive fuzzy controller. Chaos, Solitons & Fractals 17 (2003) 717-722
29. Yang X.-S., and Chen G. Some observer-based criteria for discrete-time generalized chaos synchronization. Chaos, Solitons & Fractals 13 (2002) 1303-1308
30. Terry J.R., and Van Wiggeren G.D. Chaotic communication using generalized synchronization. Chaos, Solitons & Fractals 12 (2001) 145-152
31. Yang S.S., and Duan C.K. Generalized synchronization in chaotic systems. Chaos, Solitons & Fractals 9 (1998) 1703-1707