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Characterization of a non-autonomous second-order non-linear circuit for secure data transmission

Author

Listed:
  • Miliou, A.N.
  • Valaristos, A.P.
  • Stavrinides, S.G.
  • Kyritsi, K.
  • Anagnostopoulos, A.N.

Abstract

A second-order non-linear non-autonomous electronic circuit, which contains an amplifier, two integrators and a comparator, is studied. For a certain set of values for the circuit’s parameters (amplitude and frequency of the driving signal and RC values), the circuit’s output signal is non-periodic. From the numerically calculated output signal, the correlation dimension and the Kolmogorov entropy are derived. Their values prove that the dynamical system realized by the studied circuit is a deterministic chaotic one. Moreover, the influence of artificial white noise on the original signal was investigated and the results show that only noise levels higher than 1% begin to affect the signal significantly.

Suggested Citation

  • Miliou, A.N. & Valaristos, A.P. & Stavrinides, S.G. & Kyritsi, K. & Anagnostopoulos, A.N., 2007. "Characterization of a non-autonomous second-order non-linear circuit for secure data transmission," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1248-1255.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1248-1255
    DOI: 10.1016/j.chaos.2006.01.079
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    Cited by:

    1. Oscar Camps & Stavros G. Stavrinides & Rodrigo Picos, 2021. "Stochastic Computing Implementation of Chaotic Systems," Mathematics, MDPI, vol. 9(4), pages 1-20, February.
    2. Silva, L.B.M. & Vermelho, M.V.D. & Lyra, M.L. & Viswanathan, G.M., 2009. "Multifractal detrended fluctuation analysis of analog random multiplicative processes," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2806-2811.

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