Name
Abstract | ||
|---|---|---|
In this paper, we investigate the dynamics of a fractional order chaotic map corresponding to a recently developed standard map that exhibits a chaotic behavior with no fixed point. This is the first study to explore a fractional chaotic map without a fixed point. In our investigation, we use phase plots and bifurcation diagrams to examine the dynamics of the fractional map and assess the effect of varying the fractional order. We also use the approximate entropy measure to quantify the level of chaos in the fractional map. In addition, we propose a one-dimensional stabilization controller and establish its asymptotic convergence by means of the linearization method. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.3390/e20100720 | ENTROPY |
Keywords | Field | DocType |
discrete chaos,discrete fractional calculus,hidden attractors,approximate entropy,stabilization | Applied mathematics,Mathematical optimization,Chaotic map,Fixed point,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 10 | 1099-4300 |
Citations | PageRank | References |
4 | 0.46 | 10 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adel Ouannas | 1 | 11 | 6.76 |
| Xiong Wang | 2 | 152 | 16.76 |
| Amina-Aicha Khennaoui | 3 | 10 | 3.00 |
| Samir Bendoukha | 4 | 18 | 5.95 |
| Viet-Thanh Pham | 5 | 204 | 34.06 |
| Fawaz E. Alsaadi | 6 | 40 | 7.45 |