A simple method to reveal the parameters of the Lorenz system

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 6, Issue 12 A/B, 1996, Pages 2645-2652

  Stojanovski, Toni ^a   Kocarev, Ljupco ^a   Parlitz, Ulrich ^b  

^a SS CYRIL AND METHODIUS UNIVERSITY   (Macedonia)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346617792     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218127496001715     Document Type: Article

References (12)

1. Baake, E., Baake, M., Bock, H. G. and Briggs, K. M. [1992] "Fitting ordinary differential equations to chaotic data," Phys. Rev. A42, 5524-5529.
2. Breeden, J. L. and Hübler, A. [1990] "Reconstructing equations of motion from experimental data with unobserved variables," Phys. Rev. A42, 5817-5826.
3. Cuomo, K. M. and Oppenheim, A. V. [1993] "Circuit implementation of synchronized chaos with application to communications," Phys. Rev. Lett. 71, 65-68.
4. Halle, K. S., Wu, C. W., Itoh, M. and Chua, L. O. [1993] "Spread spectrum communication through modulation of chaos," Int. J. Bifurcation and Chaos 3(2), 469-477.
5. Kocarev, L., Halle, K. S., Eckert, K., Chua, L. O. and Parlitz U. [1992] "Experimental demonstration of secure communication via chaotic synchronization," Int. J. Bifurcation and Chaos 2(3), 709-713.
6. Massey, J. L. [1988] "An introduction to contemporary cryptology," Proc. IEEE 76, 533-549.
7. Parlitz, U., Chua, L. O., Kocarev, L., Halle, K. S. and Shang, A. [1992] "Transmission of digital signals by chaotic synchronization," Int. J. Bifurcation and Chaos 2(4), 973-977.
8. Parlitz, U. and Kocarev, L. [1996] "Multichannel encoding using auto-synchronization," Int. J. Bifurcation and Chaos 6(3), 581-588.
9. Parlitz, U. [1996] "Estimating model parameters from time series by auto-synchronization," Phys. Rev. Lett. 76, 1232-1235.
10. Pecora, L. M. and Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-823.
11. Perez, G. and Cerdeira, H. A. [1995] "Extracting messages masked by chaos," Phys. Rev. Lett. 74, 1970-1973.
12. Short, K. [1994] "Steps toward unmasking secure communications," Int. J. Bifurcation and Chaos 4(4), 959-977.