From Lozi map to fractional memristive Lozi map

The Lozi map is well-known and has been studied in various researches. By combining three research trends (discrete map, memristor and fractional calculus) we investigate a fractional memristive Lozi map in this work. Firstly the Grunwald–Letnikov fractional difference operator is used to introduce...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2023-11, Vol.232 (14-15), p.2385-2393
Main Authors: Khennaoui, Amina Aicha, Pham, Viet-Thanh, Thoai, Vo Phu, Ouannas, Adel, Grassi, Giuseppe, Momani, Shaher
Format: Article
Language:English
Subjects:
Atomic
Attractors (mathematics)
Bifurcations
Classical and Continuum Physics
Condensed Matter Physics
Finite differences
Fractional calculus
Initial conditions
Materials Science
Measurement Science and Instrumentation
Molecular
Operators (mathematics)
Optical and Plasma Physics
Physics
Physics and Astronomy
Recent Advancement of Fractional-Calculus and Its Applications in Physical Systems
Regular Article
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Lozi map is well-known and has been studied in various researches. By combining three research trends (discrete map, memristor and fractional calculus) we investigate a fractional memristive Lozi map in this work. Firstly the Grunwald–Letnikov fractional difference operator is used to introduce the new fractional map with no equilibrium point. Then, the coexistence of several chaotic hidden attractors is shown, along with the coexistence of a number of bifurcations, depending on the values of the initial conditions. We found attractive dynamics and characteristics of this fractional Lozi map. The realization with hardware platform illustrates the map’s feasibility.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-023-00911-8