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A simple chaotic system using signum function

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  • Tatlıcıoğlu, Buğçe Eminağa

Abstract

Starting from Lorenz System, a simpler system using signum function was obtained, which shows chaotic behavior. The conditions for stability were explained. Lyapunov and bifurcation analyses were carried out to exhibit the chaotic behavior. The system’s suitability for circuit realization was shown with an electronic circuit implementation which is based mainly on opamps, whose simulation results were in harmony with Matlab results. Finally, as an application, a random number generator (RNG) scheme was designed, in which binary data were obtained from x,y,z variables. In order to reveal that the RNG scheme is functional, NIST-Test was applied to the obtained binary data.

Suggested Citation

  • Tatlıcıoğlu, Buğçe Eminağa, 2024. "A simple chaotic system using signum function," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 1072-1088.
    • Handle: RePEc:eee:matcom:v:225:y:2024:i:c:p:1072-1088
    DOI: 10.1016/j.matcom.2023.11.006
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    References listed on IDEAS

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    1. Liu, Lingfeng & Wang, Jie, 2023. "A cluster of 1D quadratic chaotic map and its applications in image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 89-114.
    2. Deans, N.D. & Mann, D.P., 1982. "An improved generation technique for random number sequences," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 24(4), pages 314-325.
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