Global chaos synchronization of nonautonomous gyrostat systems via variable substitution control

International Journal of Bifurcation and Chaos

Volumn 18, Issue 12, 2008, Pages 3719-3730

  Chen, Yun ^a   Wu, Xiaofeng ^b  

^a NAVAL UNIVERSITY OF ENGINEERING   (China)

^b Department of Basic Knowledge   (China)

Author keywords

Chaos synchronization; Gyrostat system; Nonautonomous system; Variable substitution control

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL TECHNIQUES;

ALGEBRAIC CRITERIA; CHAOS SYNCHRONIZATION; GYROSTATS; NON-AUTONOMOUS GYROSTAT; NON-AUTONOMOUS SYSTEM; SINGLE VARIABLE; SYNCHRONIZATION SCHEME; VARIABLE SUBSTITUTION CONTROLS;

SYNCHRONIZATION;

EID: 60749110984     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408022676     Document Type: Article

References (33)

1. Agiza, II. N. [2004] "Chaos synchronization of Lü dynamical system," Nonlin. Anal. 58, 11-20.
2. Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L. & Zhou, C. S. [2002] "The synchronization of chaotic systems," Phys. Rep. 336, 1-101.
3. Brown, R. & Rulkov, N. F. [1997a] "Designing a coupling that guarantees synchronization between identical chaotic systems," Phys. Rev. Lett. 78, 4189-. 4192.
4. Brown, R. & Rulkov, N. F. [1997b] "Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds," Chaos 7, 395-413.
5. Cai, J. P., Wu, X. F. & Chen, S. H. [2007] "Synchronization criteria for non-autonomous chaotic systems via sinusoidal state error feedback control," Phys. Scripta 75, 379-387.
6. Carroll, T. L. & Pecora, L. M. [1993] "Synchronizing non-autonomous chaotic circuits," IEEE Trans. Circuits Syst.-II 40, 646-650.
7. Curran, P. F. & Chua, L. O. [1997] "Absolute stability theory and the synchronization problem," Int. J. Bifurcation and Chaos 7, 1375-1382.
8. Curran, P. F., Suykens, J. A. K & Chua, L. O. [1997] "Absolute stability theory and master-slave synchronization," Int. J. Bifurcation and Chaos 7, 2891-. 2896.
9. Elabbasy, E. M., Agiza, H. N. & Ei-Dessoky, M. M. [2004] "Synchronization of modified Chen system," Int. J. Bifurcation and Chaos 14, 3969-3979.
10. Gauthier, D. J. & Bienfang, J. C. [1996] "Intermittent loss of synchronization in coupled chaotic oscillators: Toward a new criterion for high-quality synchronization," Phys. Rev. Lett. 77, 1751-1754.
11. Ge, Z. M. & Lin, T. N. [2002] "Chaos, chaos control and synchronization of a gyrostat system," J. Sound Vibr. 251, 519-542.
12. Ge, Z. M. & Leu, W. Y. [2004] "Chaos synchronization and parameter identification for loudspeaker systems," Chaos Solit. Fract. 21, 1231-1247.
13. Ge, Z. M. & Lee, J. K. [2005] "Chaos synchronization and parameter identification for gyroscope system," Appl. Math. Comput. 163, 667-682.
14. Ge, Z. M. & Lin, G. H. [2007] "The complete, lag and anticipated synchronization of a BLDCM chaotic system," Chaos Sold. Fract. 34, 740-764.
15. 6-Van der Pol oscillator," Phys. Lett. A 332, 305-323.
16. Lei, Y. M., Xu, W., Shen, J. W. & Fang, T. [2006] "Global synchronization of two parametrically excited systems using active control," Chaos Solit. Fract. 28, 428-436.
17. Li, Z., Han, C. Z. & Shi, S. J. [2002] "Modification for synchronization of Rössler and Chen chaotic systems," Phys. Lett. A 301, 224-230.
18. Lian, K. Y., Liu, P., Chiang, T. S. & Chiu, C. S. [2002] "Adaptive synchronization design for chaotic systems via a scale driving signal," IEEE Trans, Circuits Syst.-I 49, 17-27.
19. Liao, X., Chen, G. & Wang, H. O. [2002] "On global synchronization of chaotic systems," Proc. American Control Conf. Anchorage, AK May 8-10, 2255-2259.
20. Lu, J. A., Wu, X. Q. & Lü, J. H. [2002] "Synchronization of a unified chaotic system and the application in secure communication," Phys. Lett. A 305, 365-370.
21. Lü, J. H., Zhou, T. S. & Zhang, S. C. [2002] "Chaos synchronization between linearly coupled chaotic systems," Chaos Solid. Fract. 14, 529-.541.
22. Pecora, L. M. & Carrol, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
23. Pecora, L. M. & Carrol, T. L. [1991] "Driving systems with chaotic signals," Phys. Rev. A 44, 2374-2383.
24. Slotine, J.-J. E. & Li, W. P. [2004] Applied Non-Linear Control (China Machine Press, China).
25. Sun, J. T. & Zhang, Y. P. [2004] "Some simple global synchronization criterions for coupled time-varied chaotic systems," Chaos Solit. Fract. 19, 93-98.
26. Suykens, J. A. K., Curran, P. F. & Chua, L. O. [1997] "Master-slave synchronization using dynamic output feedback," Int. J. Bifurcation and Chaos 7, 671-679.
27. Wu, X. F. & Zhao, Y. [2005] "Frequency domain criterion for chaos synchronization of Lure systems via linear state error feedback control," Int. J. Bifurcation and Chaos 15, 1445-1454.
28. Wu, X. F., Zhao, Y. & Zhou, S. [2005] "Lag synchronization of Lur'e systems via replacing variables control," Int. J. Bifurcation and Chaos 15, 617-635.
29. Wu, X. F. & Wang, M. H. [2006] "Robust synchronization of chaotic Lur'e systems via replacing variables control," Int. J. Bifurcation and Chaos 16, 3421-. 3433.
30. Wu, X. F., Cai, J. P. & Wang, M. H. [2006] "Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control," J. Sound Vibr. 295, 378-387.
31. Yang, T. & Chua, L. O. [2000] "Practical stability of impulsive synchronization between two nonautonomous chaotic systems," Int. J. Bifurcation and Chaos 15, 859-867.
32. Yu, Y. G. & Zhang, S. C. [2005] "Global synchronization of three coupled chaotic systems with ring connection," Chaos Solit. Fract. 24, 1233-1242.
33. Zhong, G. Q. & Tang, W. K. S. [2002] "Circuitry implementation and synchronization of Chen's attractor," Int. J. Bifurcation and Chaos 12, 1423-1427.