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...
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| Veröffentlicht in: | The European physical journal. ST, Special topics Special topics, 2023-11, Vol.232 (14-15), p.2385-2393 |
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| container_title | The European physical journal. ST, Special topics |
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| creator | Khennaoui, Amina Aicha Pham, Viet-Thanh Thoai, Vo Phu Ouannas, Adel Grassi, Giuseppe Momani, Shaher |
| description | 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. |
| doi_str_mv | 10.1140/epjs/s11734-023-00911-8 |
| format | Article |
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| 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 |
| title | From Lozi map to fractional memristive Lozi map |
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