Synchronization of chaotic systems: A generalized Hamiltonian systems approach

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 5, 2001, Pages 1381-1395

  Sira Ramírez, Hebertt ^a   Cruz Hernández, César ^b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035324897     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401002778     Document Type: Article

References (16)

1. Carroll, T. L. & Pecora, L. [1991] "Synchronizing chaotic circuits," IEEE Trans. Circuits Syst. 38(4), 453-456.
2. Chen, G. [1997] Control and Synchronization of Chaos, a Bibliography, Department of Electrical Engineering, University of Houston, Houston TX (also available via ftp at ftp:uhoop.uh.edu/pub/chaos.tex).
3. Cuomo, K. M., Oppenheim, A. V. & Strogatz, S. H. [1993] "Synchronization of Lorenz-based chaotic circuits with applications to communications," IEEE Trans. Circuits Syst. II: Anal. Digit. Sign. Process. 40, 626-633.
4. Fradkov, A. L. & Markov, A. Yu. [1997] "Adaptive synchronization of chaotic systems based on speed gradient method and passification," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 44(10), 905-917.
5. Fradkov, A. L. & Pogromsky, A. Yu. [1998] Introduction to Control of Oscillations and Chaos, Series A, Vol. 35 (World Scientific, Singapore).
6. Huijberts, H. J. C., Nijmeijer, H. & Willems, R. M. A. [1998] "A control perspective on communications using chaotic systems," Proc. 37th IEEE Conf. Decision and Control, Tampa, Florida, pp. 1957-1962.
7. Lorenz, E. N. [1963] "Deterministic nonperiodic flow," J. Atmosph. Sci. 20, 130-141.
8. Mitschke, F. & Flüggen, N. [1984] "Chaotic behavior of a hybrid optical bistable system without a time delay," Appl. Phys. B35, 59-64.
9. Nijmeijer, H. & Mareels, M. Y. [1997] "An observer looks at synchronization," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 44(10), 882-890.
10. Ott, E., Sauer, T. & Yorke, J. A. (eds.) [1994] Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems (Wiley-Interscience, NY).
11. Pecora, L. M. & Carroll, T. L. [1991] "Driving systems with chaotic signals," Phys. Rev. A44(4), 2374-2383.
12. Pogromsky, A. Yu. [1998] "Passivity-based design of synchronizing systems, " Int. J. Bifurcation and Chaos 8(2), 295-319.
13. Special Issue [1993] "Chaos synchronization and control: Theory and applications," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 40.
14. Special Issue [1997a] Syst. Contr. Lett. 31.
15. Special Issue [1997b] "Chaos synchronization and control: Theory and applications," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 44(10).
16. Wu, C. W. & Chua, L. [1993] "A simple way to synchronize chaotic systems with applications to secure communication systems," Int. J. Bifurcation and Chaos 3(6), 1619-1627.