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Design of a Chaotic Random Bit Generator Using a Duffing - van der Pol System

Author

Listed:
  • Christos Volos

    (Aristotle University of Thessaloniki, Thessaloniki, Greece)

  • Ioannis Kyprianidis

    (Aristotle University of Thessaloniki, Thessaloniki, Greece)

  • Ioannis Stouboulos

    (Aristotle University of Thessaloniki, Thessaloniki, Greece)

  • Sundarapandian Vaidyanathan

    (Vel Tech University, Chennai, India)

Abstract

In this paper a chaotic random bit generator, which is based in one of the most well-known non-autonomous chaotic dynamical systems, the Duffing van der Pol, is presented. The basic component of this design approach is the use of the Poincaré map of the aforementioned system. The produced chaotic attractor of the Duffing van der Pol system is converted with the proposed method to a random bit sequence. Furthermore, for, improving the “randomness” of the produced bit streams the X-OR function in the outputs of two threshold circuits that use two variables x which are produced by the two Duffing – van der Pol's Poincaré maps is used. Finally, the produced bit sequence is subjected to the de-skewing technique to extract unbiased bits with no correlation and so to increase their complexity, as it is confirmed by the statistical test suite, FIPS-140-2.

Suggested Citation

  • Christos Volos & Ioannis Kyprianidis & Ioannis Stouboulos & Sundarapandian Vaidyanathan, 2016. "Design of a Chaotic Random Bit Generator Using a Duffing - van der Pol System," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 5(3), pages 94-111, July.
    • Handle: RePEc:igg:jsda00:v:5:y:2016:i:3:p:94-111
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    Cited by:

    1. Ke Ding, 2019. "Master-Slave Synchronization of Chaotic Φ 6 Duffing Oscillators by Linear State Error Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, October.
    2. Ke Ding & Christos Volos & Xing Xu & Bin Du, 2018. "Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems," Complexity, Hindawi, vol. 2018, pages 1-9, January.

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