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A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme

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Abstract

In this work, one of the most simple chaotic autonomous circuits, which has been reported in the literature, is presented. The proposed circuit, that belongs to jerk systems family, is described mathematically by a 3-D dynamical system with only five terms, and it has only one nonlinear term, which is the hyperbolic sine term implemented with two antiparallel diodes. This new jerk system presents interesting chaotic phenomena, such as coexisting attractors and antimonotonicity. Also, as an application of the proposed system a sound encryption scheme that is based on a random number generator, which is implemented with the jerk system, is presented. The practical usefulness of the proposed simple chaotic jerk circuit is confirmed from the results of NIST-800-22 tests of the chaotic random number generator, as well as from the successful sound encryption and decryption process.

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Authors and Affiliations

  1. Physics Department, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    Christos Volos, Ioannis Stouboulos & Ioannis Kyprianidis

  2. Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, 54187, Serdivan, Sakarya, Turkey

    Akif Akgul

  3. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

    Viet-Thanh Pham

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  1. Christos Volos
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  2. Akif Akgul
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  3. Viet-Thanh Pham
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Correspondence to Christos Volos.

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Volos, C., Akgul, A., Pham, VT. et al. A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme. Nonlinear Dyn 89, 1047–1061 (2017). https://doi.org/10.1007/s11071-017-3499-9

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