Abstract
A method for secure data transmission is proposed on the basis of the phenomenon of generalized chaotic synchronization, which is characterized by extremely high stability to noise and fluctuations in a communication channel. The basic concepts of the method proposed are illustrated by numerical simulation of two unidirectionally coupled Róssler systems, chosen as a transmitter and a receiver. Fundamental advantages of the proposed method over the known ones are shown.
References
Cuomo, M.K., Oppenheim, A.V., and Strogatz, S.H., IEEE Trans. Circuits Syst., 1993, vol. 40, no. 10, p. 626.
Dedieu, H., Kennedy, M.P., and Hasler, M., IEEE Trans. Circuit Syst., 1993, vol. 40, p. 634.
Dmitriev, A.S., Panas, A.I., and Starkov, S.O., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1995, vol. 5, no. 4, p. 1249.
Boccaletti, S., Farini, A., and Arecchi, F.T., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1997, vol. 55, no. 5, p. 4979.
Carroll, T.L. and Johnson, G.A., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1998, vol. 57, no. 2, p. 1555.
Fischer, I., Liu, Y., and Davis, P., Phys. Rev. A: At., Mol., Opt. Phys., 2000, vol. 62, 011801.
Terry, J.R. and VanWiggeren G.D, Chaos, Solitons Fractals, 2001, vol. 12, p. 145.
Chen, J.Y., Wong, K.W., Cheng, L.M., and Shuai, J.W., Chaos, 2003, vol. 13, no. 2, p. 508.
Yuan, Z.L. and Shields, A.J., Phys. Rev. Lett., 2005, vol. 94, 048901.
Lucamarini, M. and Mancini, S., Phys. Rev. Lett., 2005, vol. 94, 140501.
Li, Q.S. and Liu, Y., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2006, vol. 73, 016218.
Fradkov, A.L., Andrievsky, B., and Evans, R.J., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2006, vol. 73, 066 209.
Murali, K. and Lakshmanan, M., Phys. Lett. A, 1998, vol. 241, p. 303.
Ponomarenko, V.I. and Prokhorov, M.D., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2002, vol. 66, no. 2, 026215.
Rulkov, N.F., Sushchik, M.M., Tsimring, L.S., and Abarbanel, H.D.I., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1995, vol. 51, no. 2, p. 980.
Abarbanel, H.D.I., Rulkov, N.F., and Sushchik, M.M., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1996, vol. 53, no. 5, p. 4528.
Hramov, A.E. and Koronovskii, A.A., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2005, vol. 71, no. 6, 067201.
Zheng, Z. and Hu, G., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2000, vol. 62, no. 6, p. 7882.
Hramov, A.E. and Koronovskii, A.A., Europhys. Lett., 2005, vol. 70, no. 2, p. 169.
Hramov, A.E., Koronovskii, A.A., and Moskalenko, O.I., Europhys. Lett., 2005, vol. 72, no. 6, p. 901.
Rico-Martinez, R., Kreischer, K.E., Flatgen, G., et al., Phys. D, 2003, vol. 176, p. 1.
Yang, T. and Chua, L.O., IEEE Trans. Circuits Syst. I, 1996, vol. 43, p. 817.
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Original Russian Text © A.A. Koronovskii, O.I. Moskalenko, P.V. Popov, A.E. Hramov, 2008, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2008, Vol. 72, No. 1, pp. 143–147.
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Koronovskii, A.A., Moskalenko, O.I., Popov, P.V. et al. Method for secure data transmission based on generalized synchronization. Bull. Russ. Acad. Sci. Phys. 72, 131–135 (2008). https://doi.org/10.3103/S1062873808010309
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DOI: https://doi.org/10.3103/S1062873808010309