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Robust hyperchaotic synchronization via analog transmission line

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  • Dynamics and Synchronization: Experiments
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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.

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References

  1. L.M. Pecora, T.L. Carroll. Phys. Rev. Lett. 64(8), 821 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  2. U. Feldmann, M. Hasler, W. Schwarz, Int. J. Circuit Theory Appl. 24, 551 (1996)

    Article  Google Scholar 

  3. E.R. Bollt, Intl. J. Bifurcation Chaos 13, 269 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  4. B.R. Andrievskii, A.L. Fradkov, Automation Remote Control 64, 673 (2003)

    Article  MathSciNet  Google Scholar 

  5. G.M. Maggio, G. Galias, IEEE Trans. Circuits Syst.-I 49, 1729 (2002)

    Article  Google Scholar 

  6. T.L. Liao, N.S. Huang, IEEE Trans. Circuits Syst.-II 46, 1144 (1999)

    Article  Google Scholar 

  7. M. L’Hernault, J.P. Barbot, A. Ouslimani, IEEE Trans. Circuits Syst.-I 55, 614 (2008)

    Article  MathSciNet  Google Scholar 

  8. T. Yang, Int. J. Computational Cognition 1, 81 (2004)

    Google Scholar 

  9. T. Yang, L.-B. Yang, C.-M. Yang, Phys. Lett. A 226(6), 349 (1997)

    Article  ADS  Google Scholar 

  10. B. Muthuswamy, S. Banerjee, A Route to Chaos Using FPGAs, Vol. I: Experimental Observations (Springer, Switzerland, 2015)

  11. 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)

    Article  ADS  Google Scholar 

  12. L.M. Pecora, T.L. Carroll, Chaos 25, 097611 (2015)

    Article  ADS  Google Scholar 

  13. S. Sadoudi, C. Tanougast, M.S. Azzaz, Proc, CoDIT’2014, Metz, France (2014)

  14. S. Sadoudi, C. Tanougast, M.S. Azzaz, Progr. Electromagnetic Research C 32, 181 (2012)

    Article  Google Scholar 

  15. R. Barboza, Int. J. Bifurcation Chaos 17, 4285 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  16. Xilinx University Program Virtex-II Pro Development System (UG069, April 9, v1.1, 2008)

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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

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  • DOI: https://doi.org/10.1140/epjst/e2016-02609-8

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