Synchronization of Lorenz systems via impulsive control and sporadic coupling

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 8, 2004, Pages 2963-2969

  Li, K ^a   Soh, Y C ^a   Li, Z G ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b INSTITUTE FOR INFOCOMM RESEARCH   (Singapore)

Author keywords

Impulsive control; Lorenz system; Sporadic coupling; Synchronization

Indexed keywords

CHAOS THEORY; COMPUTATIONAL METHODS; INFORMATION RETRIEVAL; SIGNAL PROCESSING; SYNCHRONIZATION;

IMPULSIVE CONTROL; LORENZ SYSTEM; SPORADIC COUPLING;

COMMUNICATION;

EID: 4944239876     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011065     Document Type: Article

References (12)

1. Cuomo, M., Oppenheim, V.& Strogatz, H. [1993] "Synchronization of Lorenz-based chaotic circuits with applications to communications," IEEE Trans. CAS-I 4.0, 626-633.
2. Gonzalos, A., Hee, G., Gyves, P.& Sincncio, E. [2000] "Lorcnz-based chaotic cryptosystem: A monolithis implementation," IEEE Trans. CAS-I 47, 1243-1247.
3. He, Z. Y., Li, K. L., Yang, X.& Shi, Y. H. [2000] "A robust digital secure communication scheme based on sporadic coupling chaos synchronization," IEEE Trans. CAS-I47, 397-403.
4. Li, K., Soh, Y. C.& Li, Z. G. [2003] "Chaotic cryptosystem with high sensitivity to parameter mismatch," IEEE Trans. CAS-I 50, 579-583.
5. Li, Z. G., Wen, C. Y.& Soh, Y. C. [2001] "Analysis and design of impulsive control system, " IEEE Trans. Autom. Contr. 46, 894-897.
6. Masuda, N.& Aihara, K. [2000] "Cryptosystem with discretized chaotic maps," IEEE Trans. CAS-I 49, 28- 40.
7. Sprott, J. C. [1997] Lyapunov Exponent and Dimension of the Lorenz Attractor, http://sprott.physics.wisc.edu/chaos/lorenzle.html.
8. Stojakovski, T., Kocarcv, L., Parlitz, U.& Harris, R. [1997] "Sporadic driving of dynamical systems," Phys. Rev. E55, 4035 4048.
9. Wisdom, J. [1998] Lyapunov Exponent, http://geosys.mit.edu/~solar/text/ node8.html.
10. Xio, W. X., Wen, C. Y.& Li, Z. G. [2000] "Impulsive control for the stabilization and synchronization of Lorenz systems," Phys. Lett. A275, 67-72.
11. Yang, T.& Chua, L. O. [1997] "Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication," IEEE Trans. CAS-I 44, 976-988.
12. Yang, T., Yang, L.& Yang, C. [1997] "Impulsive synchronization for Lorenz systems," Phys. Lett. A226, 349-354.