Open AccessDynamics Behaviours of a Discrete Memristor Map with Fractional Order
Author(s) -
Amina–Aicha Khennaoui,
Adel Ouannas
Publication year - 2022
Language(s) - English
DOI - 10.55059/ijm.2022.1.1/8
Subject(s) - memristor , attractor , fractional calculus , bifurcation , chaotic , mathematics , order (exchange) , simple (philosophy) , statistical physics , mathematical analysis , computer science , physics , nonlinear system , artificial intelligence , philosophy , finance , epistemology , quantum mechanics , economics
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.