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A new chaotic oscillator containing generalised memristor, single op-amp and RLC with chaos suppression and an application for the random number generation

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Abstract

In this paper, a new chaotic oscillator consists of a single op-amp, two capacitors, one resistor, one inductor, and memristive diode bridge cascaded with an inductor is proposed. The proposed chaotic oscillator has a line of equilibria. In the new oscillator circuit, negative feedback, i.e. inverting terminal of the op-amp is used, and the non-inverting terminal is grounded. The new oscillator has chaotic, periodic, quasi-periodic behaviours, as seen from the Lyapunov spectrum plots. Some more theoretical and numerical tools are used to present the dynamical behaviours of the new oscillator like bifurcation diagram, phase plot. Further, a non-singular terminal sliding mode control (N-TSMC) is designed for the suppression of the chaotic states of the new oscillator. An application of the new oscillator is shown by designing a chaos-based random number generator. Raspberry Pi 3 is used for the realisation of the random number generator.

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Authors and Affiliations

  1. Department of Electrical Engineering, Rewa Engineering College, Rewa, 486602, MP, India

    Jay Prakash Singh

  2. Department of Electrical and Electronic Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Serdivan, Turkey

    Akif Akgul & Bilal Gurevin

  3. Department of Electrical Engineering, National Institute of Technology Silchar, Silchar, 788010, Assam, India

    Jay Prakash Singh, Jit Koley & Binoy Krishna Roy

Authors
  1. Jay Prakash Singh
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  2. Jit Koley
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  3. Akif Akgul
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  4. Bilal Gurevin
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  5. Binoy Krishna Roy
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Correspondence to Jay Prakash Singh.

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Singh, J.P., Koley, J., Akgul, A. et al. A new chaotic oscillator containing generalised memristor, single op-amp and RLC with chaos suppression and an application for the random number generation. Eur. Phys. J. Spec. Top. 228, 2233–2245 (2019). https://doi.org/10.1140/epjst/e2019-900040-x

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  • DOI: https://doi.org/10.1140/epjst/e2019-900040-x

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