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Dynamics Behaviours of a Discrete Memristor Map with Fractional Order

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Title: Dynamics Behaviours of a Discrete Memristor Map with Fractional Order

Authors: Amina Aicha Khennaoui, Adel Ouannas

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 1

Language: en

DOI: 10.55059/ijm.2022.1.1/8

Keywords: ChaosDiscrete memristorDiscrete fractional calculusMemristor

Categories
Manual Therapy (187) Neck Pain (38) Memristors (2) Chaos Theory (19) Discrete Dynamical Systems (1) Medicine (22336) Physical Therapy (3553) Mathematics (5170) Fractional Calculus (72) Orthopedics (5296)

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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