Uncertainty in chaos synchronization

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 6, 2001, Pages 1723-1735

  Zhong, Guo Qun ^a   Man, Kim Fung ^a   Ko, King Tim ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035635196     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401002961     Document Type: Article

References (20)

1. Afraimovich, V. S., Verichev, N. N. & Rabinovich, M. I. [1986] "Stochastic synchronization of oscillations in dissipative systems," Izv. VUZ. Rasiofiz. RPQAEC. 29, 795-803.
2. Ashwin, P., Buescu, J. & Stewart, I. [1994] "Bubbling of attractors and synchronization of chaotic oscillators," Phys. Lett. A193, 126-139.
3. Astakhov, V., Shabunin, A., Kapitaniak, T. & Anishchenko, V. [1997] "Loss of chaos synchronization through the sequence of bifurcations of saddle periodic orbits," Phys. Rev. Lett. 79(6), 1014-1017.
4. Chua, L. O., Itoh, M., Kocarev, Lj. & Eckert, K. [1993] "Chaos synchronization in Chua's circuit," J. Circuits Syst. Comput. 3(1), 93-108.
5. Chua, L. O. [1994] "Chua's circuit: An overview ten years later," J. Circuits Syst. Comput. 4(2), 117-159.
6. Chua, L. O., Yang, T., Zhong, G. Q. & Wu, C. W. [1996] "Adaptive synchronization of Chua's oscillators," Int. J. Bifurcation and Chaos 6(1), 189-201.
7. Kapitaniak, T., Chua, L. O. & Zhong, G. Q. [1994] "Experimental synchronization of chaos using continuous control," Int. J. Bifurcation and Chaos 4(2), 483-488.
8. Kapitaniak, T., Maistrenko, Yu., Stefanski, A. & Brindley, J. [1998] "Bifurcations from locally to globally riddled basins," Phys. Rev. E57(6), 6253-6256.
9. Kennedy, M. P. [1992] "Robust op amp realization of Chua's circuit," Frequenz 46, 66-80.
10. Kim, C.-M. [1997] "Mechanism of chaos synchronization and on-off intermittency," Phys. Rev. E56(3), 3697-3700.
11. Maistrenko, Yu. L., Maistrenko, V. L., Popovich, A. & Mosekilde, E. [1998] "Role of the absorbing area in chaotic synchronization," Phys. Rev. Lett. 80(8), 1638-1641.
12. Nakajima, H. & Ueda, Y. [1997] "A simple model of a riddled basin in chaotic synchronization," Electron. Commun. Jpn. Part 3, 80(11), 112-119.
13. Ott, E., Sommerer, J. C., Alexander, J. C., Kan, I. & Yorke, L. A. [1993] "Scaling behavior of chaotic systems with riddled basins," Phys. Rev. Lett. 71, 4134-4137.
14. Ott, E. & Sommerer, J. C. [1994] "Blowout bifurcation: The occurrence of riddled basins and on-off intermittency," Phys. Lett. A188, 39-47.
15. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
16. Pecora, L. M. & Carroll, T. L. [1991] "Driving systems with chaotic signals," Phys. Rev. A44(4), 2374-2383.
17. Verhulst, F. [1990, 1996] Nonlinear Differential Equations and Dynamical Systems, 2nd edition (Springer-Verlag, Berlin-Heidelberg).
18. Wu, C. W. & Chua, L. O. [1993] "A simple way to synchronize chaotic systems with applications to secure communication systems," Int. J. Bifurcation and Chaos 3(6), 1619-1627.
19. Wu, C. W., Zhong, G. Q. & Chua, L. O. [1996] "Synchronizing nonautonomous chaotic systems without phase-locking," J. Circuits Syst. Comput. 6(3), 227-241.
20. Zhong, G. Q. & Ayrom, F. [1985] "Experimental confirmation of chaos from Chua's circuit," Int. J. Circuit Th. Appl. 13(1), 93-98.