Dynamics Behaviours of a Discrete Memristor Map with Fractional Order

Amina Aicha Khennaoui; Adel Ouannas

doi:10.55059/ijm.2022.1.1/8

Dynamics Behaviours of a Discrete Memristor Map with Fractional Order

Authors

Amina Aicha Khennaoui Department of Mathematics and Computer science, University of Larbi Ben M’hidi, Oum El Bouaghi
Adel Ouannas Department of Mathematics and Computer science, University of Larbi Ben M’hidi, Oum El Bouaghi

DOI:

https://doi.org/10.55059/ijm.2022.1.1/8

Keywords:

Discrete memristor, Discrete fractional calculus, Memristor, Chaos

Abstract

In this paper; a simple fractional discrete memristor is designed using discrete fractional calculus, based on this model a fractional order discrete memristor based chaotic map is contructed. Dynamical behaviour of the proposed fractional model is investigated numerically. The impact of fractional order and system parameters on the newly model are illustrated using bifurcation diagrams and phase attractors. It is verified that the newly model has chaos behaviour.

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Published

2022-01-14

How to Cite

Khennaoui, A. A., & Ouannas, A. (2022). Dynamics Behaviours of a Discrete Memristor Map with Fractional Order. Innovative Journal of Mathematics (IJM), 1(1), 83–92. https://doi.org/10.55059/ijm.2022.1.1/8