Abstract
In this paper, a novel experimental chaotic synchronization technique via analog transmission is discussed. We demonstrate through Field-Programmable Gate Array (FPGA) implementation design the robust synchronization of two embedded hyperchaotic Lorenz generators interconnected with an analog transmission line. The basic idea of this work consists in combining a numerical generation of chaos and transmitting it with an analog signal. The numerical chaos allows to overcome the callback parameter mismatch problem and the analog transmission offers robust data security. As application, this technique can be applied to all families of chaotic systems including time-delayed chaotic systems.
Similar content being viewed by others
References
L.M. Pecora, T.L. Carroll. Phys. Rev. Lett. 64(8), 821 (1990)
U. Feldmann, M. Hasler, W. Schwarz, Int. J. Circuit Theory Appl. 24, 551 (1996)
E.R. Bollt, Intl. J. Bifurcation Chaos 13, 269 (2003)
B.R. Andrievskii, A.L. Fradkov, Automation Remote Control 64, 673 (2003)
G.M. Maggio, G. Galias, IEEE Trans. Circuits Syst.-I 49, 1729 (2002)
T.L. Liao, N.S. Huang, IEEE Trans. Circuits Syst.-II 46, 1144 (1999)
M. L’Hernault, J.P. Barbot, A. Ouslimani, IEEE Trans. Circuits Syst.-I 55, 614 (2008)
T. Yang, Int. J. Computational Cognition 1, 81 (2004)
T. Yang, L.-B. Yang, C.-M. Yang, Phys. Lett. A 226(6), 349 (1997)
B. Muthuswamy, S. Banerjee, A Route to Chaos Using FPGAs, Vol. I: Experimental Observations (Springer, Switzerland, 2015)
D. Valli, B. Muthuswamy, S. Banerjee, M.R.K. Ariffin, A.W.A. Wahab, K. Ganesan, C.K. Subramaniam, J. Kurths, Eur. Phys. J. Special Topics 223, 1465 (2014)
L.M. Pecora, T.L. Carroll, Chaos 25, 097611 (2015)
S. Sadoudi, C. Tanougast, M.S. Azzaz, Proc, CoDIT’2014, Metz, France (2014)
S. Sadoudi, C. Tanougast, M.S. Azzaz, Progr. Electromagnetic Research C 32, 181 (2012)
R. Barboza, Int. J. Bifurcation Chaos 17, 4285 (2007)
Xilinx University Program Virtex-II Pro Development System (UG069, April 9, v1.1, 2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sadoudi, S., Tanougast, C. Robust hyperchaotic synchronization via analog transmission line. Eur. Phys. J. Spec. Top. 225, 119–126 (2016). https://doi.org/10.1140/epjst/e2016-02609-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2016-02609-8