Synchronization of uncertain hyperchaotic and chaotic systems by adaptive control

International Journal of Bifurcation and Chaos

Volumn 18, Issue 12, 2008, Pages 3731-3736

  Liu, Zhi Yu ^a   Liu, Chia Ju ^b   Ho, Ming Chung ^b   Hung, Yao Chen ^c   Hsu, Tzu Fang ^d   Jiang, I Min ^a  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

^b NATIONAL KAOHSIUNG NORMAL UNIVERSITY   (Taiwan)

^c INSTITUTE OF PHYSICS   (Taiwan)

^d NATIONAL PINGTUNG UNIVERSITY   (Taiwan)

Author keywords

Adaptive control; Hyperchaotic system; Synchronization

Indexed keywords

CHAOS THEORY; CHAOTIC SYSTEMS; MEAN SQUARE ERROR; SYNCHRONIZATION;

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; EFFECT OF NOISE; HYPER-CHAOTIC SYSTEMS; HYPERCHAOTIC OSCILLATORS; LYAPUNOV STABILITY THEORY; MASTER SYSTEMS; MEAN SQUARED ERROR;

ADAPTIVE CONTROL SYSTEMS;

EID: 60749118352     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408022688     Document Type: Article

References (30)

1. Agiza, H. N. & Yassen, M. T. [2001] "Synchronization of Rossler and Chen chaotic dynamical systems using active control," Phys. Lett. A 278, 191-197.
2. Chen, S. H. & Lü, J. H. [2002] "Parameters identification and synchronization of chaotic systems based upon adaptive control," Phys. Lett. A 299, 353-358.
3. Cuomo, K. M. & Oppenheim, A. V. [1993] "Circuit implementation of synchronized chaos with applications to communications," Phys. Rev. Lett. 71, 65-68.
4. Duan, C. K. & Yang, S. S. [1997] "Synchronizing hyperchaos with a scalar signal by parameter it controlling," Phys. Lett. A 229, 151-155.
5. Fischer, I., Liu, Y. & Davis, P. [2000] "Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication," Phys. Rev. A 62, 1-4.
6. Fotsin, H., Moukam Kakmeni, F. M. &: Bowong, S. [2006] "An adaptive observer for chaos synchronization of a nonlinear electronic circuit," Int. J. Bifurcation and Chaos 16, 2671-2679.
7. Grassi, G. & Mascolo, S. [1998] "Synchronisation of hyperchaotic oscillators using a scalar signal." Electron. Lett. 34, 424-425.
8. Grassi, G. & Mascolo, S. [1999] "Synchronizing hyperchaotic systems by observer design," IEEE Trans. Circuits Syst.-II 46, 1135-1138.
9. Ho, M. C. & Hung, Y. C. [2002] "Synchronization of two different systems by using generalized active control," Phys. Lett. A 301, 424-428.
10. Ho, M. C., Hung Y. C. & Chou, C. H. [2002] "Phase and anti-phase synchronization of two chaotic systems by using active control," Phys. Lett. A. 296, 43-48.
11. Ho, M. C., Hung, Y. C. & Jiang, I. M. [2005] "Synchronization between two chaotic systems with different order by using active control," Int. J. Nonlin. Sci. Nurner. Simul. 6, 249-254.
12. Ho, M. C., Hung, Y. C., Liu, Z. Y. & Jiang, I. M. [2006] "Reduced-order synchronization of chaotic systems with parameters unknown," Phys. Lett. A 348, 251-259.
13. Kocarev, L. & Parlitz, U. [1995] "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-031.
14. Li, R. H., Xu, W. & Li, S. [2007] "Adaptive generalized projective synchronization in different chaotic systems based on parameter identification," Phys. Lett. A 367, 199-206.
15. Li, Y., Tang, W. K. S. & Chen, G. [2005] "Generating hyperchaos via state feedback control," Int. J. Bifurcation and Chaos 15, 3367-3375.
16. Liao, T. L. [1998] "Adaptive synchronization of two Lorcnz systems," Chaos Solit. Fract. 9, 1555-1561.
17. Miller, D. A. & Grassi, G. [2001] "Experimental realization of observer-based hyperchaos synchronization," IEEE Trans. Circuits Syst.-I 48, 366-374.
18. Park, J. H. [2005] "Adaptive synchronization of Rossler system with uncertain parameters;" Chaos Solit. Fract. 25, 333-338.
19. Parlitz, li., Kocarev, L., Stojanovski, T. & Preckel, H. [1996] "Encoding messages using chaotic synchronization," Phys. Rev. E 53, 4351-4361.
20. Pecora, L. M. & Carrol, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
21. Peng, J. H., Ding, E. J., Ding, M. & Yang, W. [1996] "Synchronizing hyperchaos with a scalar transmitted signal," Phys. Rev. Lett. 76, 904-907.
22. Rossler O. E. 11979] "An equation for hyperchaos," Phys. Lett. A 71," 155-157.
23. Samuel, B. [2004] "Stability analysis for the synchronization of chaotic systems with different order: Application to secure communications, " Phys. Lett. A 326, 102-113.
24. TamaševičiuS; A., Namajūas, A. & Čenys, A. [1996] "Simple 4D chaotic oscillator," Electron, Lett. 32, 957-958.
25. Udaltsov, V. S., Goedgebuer, J. P., Larger, L. & Rhodes, W. T. [2001] "Communicating with optical hyperchaos: Information encryption and decryption in delayed nonlinear feedback systems," Phys. Rev. Lett. 86, 1892-1895.
26. Wang, S., Kuang, J., Li, J., Luo, Y. Lu, II. & Hu, G. [2002] "Chaos-based secure communications in a large community," Phys. Rev. E 66, 1-4.
27. Wang, Y., Guam, Z. H. & Wen, X. [2004] "Adaptive synchronization for Chen chaotic system with fully unknown parameters," Chaos Solit. Fract. 19, 899-903.
28. Wu, X., Guan, Z. H., Wu, Z. & Li, T. [2007] "Chaos synchronization between Chen system and Genesio system," Phys. Lett. A 364, 484-487.
29. Yan, Z. & Yu, P. [2007] "Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rossler systems," Int. J. Bifurcation and Chaos 17, 1759-1774.
30. Yassen, M. T. [2005] "Adaptive synchronization of two different uncertain chaotic systems," Phys. Lett, A 337, 335-341.