Name
Abstract | ||
|---|---|---|
A three-dimensional (3D) Henon map of fractional order is proposed in this paper. The dynamics of the suggested map are numerically illustrated for different fractional orders using phase plots and bifurcation diagrams. Lorenz-like attractors for the considered map are realized. Then, using the linear fractional-order systems stability criterion, a controller is proposed to globally stabilize the fractional-order Henon map. Furthermore, synchronization control scheme has been designed to exhibit a synchronization behavior between a given 2D fractional-order chaotic map and the 3D fractional-order Henon map. Numerical simulations are also performed to verify the main results of the study. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1142/S021812742050217X | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Fractional discrete-time calculus, Caputo-like difference operator, chaos, Henon-like map, control, synchronization | Journal | 30 |
Issue | ISSN | Citations |
11 | 0218-1274 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Amina-Aicha Khennaoui | 1 | 0 | 0.68 |
| Adel Ouannas | 2 | 11 | 6.76 |
| Zaid M. Odibat | 3 | 207 | 21.05 |
| Viet-Thanh Pham | 4 | 0 | 0.34 |
| Giuseppe Grassi | 5 | 4 | 3.68 |