https://doi.org/10.1140/epjs/s11734-023-00911-8
Regular Article
From Lozi map to fractional memristive Lozi map
1
NTIC Faculty, University of Constantine 2, Constantine, Algeria
2
Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3
Department of Mathematics and Computer science, University of Oum El-Bouaghi, Oum El-Bouaghi, Algeria
4
Dipartimento Ingegneria Innovazione, Universita del Salento, 73100, Lecce, Italy
5
Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAE
6
Department of Mathematics, Faculty of Science, University of Jordan, Amman, Jordan
Received:
15
January
2023
Accepted:
2
July
2023
Published online:
20
July
2023
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.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
