Eur. Phys. J. Special Topics 228, 2233-2245 (2019)
https://doi.org/10.1140/epjst/e2019-900040-x

Regular Article

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

¹ Department of Electrical Engineering, Rewa Engineering College, Rewa 486602, MP, India
² Department of Electrical and Electronic Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Serdivan, Turkey
³ Department of Electrical Engineering, National Institute of Technology Silchar, Silchar 788010 Assam, India

^a e-mail: jayprakash1261@gmail.com

Received: 15 February 2019
Received in final form: 7 May 2019
Published online: 14 October 2019

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.