Name
Abstract | ||
|---|---|---|
In this paper, we propose and examine the fractional form corresponding to the Grassi–Miller integer-order discrete-time system. We show experimental phase portraits and bifurcation diagrams to highlight the ranges of parameters and fractional orders over which chaos is observed. In addition, we propose two distinct control schemes for the proposed fractional map. The first controller stabilizes the states and forces them towards zero asymptotically. The second controller aims to synchronize a pair of maps with non-identical parameters. Throughout the paper, numerical results are presented to verify the analytic results. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.cam.2019.03.031 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Fractional discrete chaos,Grassi–Miller map,Fractional Grassi–Miller map,Bifurcation,Stabilization,Synchronization | Applied mathematics,Control theory,Synchronization,Mathematical analysis,Phase portrait,Mathematics,Bifurcation | Journal |
Volume | ISSN | Citations |
358 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adel Ouannas | 1 | 11 | 6.76 |
| Amina-Aicha Khennaoui | 2 | 0 | 0.34 |
| Giuseppe Grassi | 3 | 79 | 24.68 |
| Samir Bendoukha | 4 | 18 | 5.95 |