Abstract | ||
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In this paper, we propose some fractional forms of Arnold mappings and study the existence of chaos. Using discrete-time fractional calculus, we show that the general behavior of the proposed fractional maps depends on the fractional order. Numerical results are presented to illustrate the findings. |
Year | DOI | Venue |
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2019 | 10.1109/MOCAST.2019.8741883 | 2019 8th International Conference on Modern Circuits and Systems Technologies (MOCAST) |
Keywords | Field | DocType |
Discrete-time fractional calculus,Arnold mappings,chaos | Pure mathematics,Fractional calculus,Mathematics | Conference |
ISBN | Citations | PageRank |
978-1-7281-1185-8 | 0 | 0.34 |
References | Authors | |
8 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Amina-Aicha Khennaoui | 1 | 10 | 3.00 |
Adel Ouannas | 2 | 11 | 6.76 |
Grassi, G. | 3 | 0 | 4.06 |
Viet-Thanh Pham | 4 | 204 | 34.06 |
Christos K. Volos | 5 | 140 | 24.93 |