Secure communication using a compound signal from generalized synchronizable chaotic systems. (English) Zbl 0933.94023

Summary: By considering generalized synchronizable chaotic systems, the drive-auxiliary system variables are combined suitably using encryption key functions to obtain a compound chaotic signal. An appropriate feedback loop is constructed in the response-auxiliary system to achieve synchronization among the variables of the drive-auxiliary and response-auxiliary systems. We apply this approach to transmit analog and digital information signals in which the quality of the recovered signal is higher and the encoding is more secure.


94A60 Cryptography
37N99 Applications of dynamical systems
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
Full Text: DOI arXiv


[1] Lakshmanan, M.; Murali, K., (Chaos in Nonlinear Oscillators: Controlling and Synchronization (1996), World Scientific: World Scientific Singapore) · Zbl 0868.58058
[2] Carroll, T. L.; Pecora, L. M., IEEE Trans. Circuits Syst., 38, 453 (1991)
[3] Kocarev, L.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U., Int. J. Bifurc. Chaos, 2, 709 (1992) · Zbl 0875.94134
[4] He, R.; Vaidya, P. G., Phys. Rev. A, 46, 7387 (1992)
[5] Cuomo, K. M.; Oppenheim, A. V., Phys. Rev. Lett., 71, 65 (1993)
[6] Murali, K.; Lakshmanan, M., Phys. Rev. E, 48, R1624 (1993)
[7] Kittel, A.; Pyragas, K.; Richter, R., Phys. Rev. E, 50, 262 (1994)
[8] Murali, K.; Lakshmanan, M., Phys. Rev. E, 49, 4882 (1994)
[9] Chua, L. O.; Itoh, M.; Kocarev, Lj.; Eckert, K., J. Circuits Syst. Computers, 3, 93 (1993)
[10] Parlitz, U.; Kocarev, L., Phys. Rev. Lett., 74, 5028 (1995)
[11] Hayes, S.; Grebogi, C.; Ott, E., Phys. Rev. Lett., 70, 3031 (1993)
[12] Cuomo, K. M., Int. J. Bifurc. Chaos, 4, 727 (1994) · Zbl 1053.37511
[13] Wu, C. W.; Chua, L. O., IEEE Trans. Circ. Syst.-I, 42, 430 (1995) · Zbl 0867.93042
[14] Perez, G.; Cerdeira, H. A., Phys. Rev. Lett., 74, 1970 (1995)
[15] Rulkov, N. F.; Sushchik, M. M.; Tsimring, L. S.; Abarbanel, H. D.I., Phys. Rev. E, 51, 980 (1995)
[16] Abarbanel, H. D.I.; Rulkov, N. F.; Sushchik, M. M., Phys. Rev. E, 53, 4528 (1996)
[17] Kocarev, L.; Parlitz, U., Phys. Rev. Lett., 76, 1816 (1996)
[18] Murali, K.; Lakshmanan, M., Phys. Rev. E (1997), (to appear)
[19] Carroll, T. L.; Heagy, J. F.; Pecora, L. M., Phys. Rev. E, 54, 4676 (1996)
[20] Pyragas, K., Phys. Rev. E, 54, R4508 (1996)
[21] Lakshmanan, M.; Murali, K., Philos. Trans. Roy. Soc. London Trans. A, 353, 33 (1995) · Zbl 0890.94046
[22] Lorenzo, M. N.; Munuzuri, V. P.; Villar, V. P.; Murali, K., Int. J. Bifurc. Chaos (1997), (submitted)
[23] Dmitriev, A. S.; Panas, A. I.; Starkov, S. O., Int. J. Bifurc. Chaos, 5, 1249 (1995) · Zbl 0890.94012
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.