Nonlinear Phenomena in Complex Systems, 2024, Vol.27, No.2, pp.135

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2024, Vol.27, No.2, pp.135 - 145

A New 4D Chaotic System Based on Memristor and Circuit Design

Lamia Chouchan, Hamid Hamiche, Karim Kemih, and Achour Ouslimani

This paper reports the development of a new 4-dimensional chaotic system by replacing the Non-Linear (NL) positive conductance of Shinriki's circuit with a memristor emulator. Then, we present on this topic the equilibrium point of the mathematical model describing our system and their stabilities, dissipative properties, Lyapunov Exponents (LE), Kaplan– Yorke (K.Y) dimensions as well as the bifurcation diagrams. In the end, the electrical circuit made on Multisim 14.2 software is given.

Key words: chaos, memristor, Shinriki's circuit, nonlinear circuit

DOI: https://doi.org/10.5281/zenodo.12621807

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