D3 Dihedral Logistic Map of Fractional Order
Keyword(s):
In this paper the D 3 dihedral logistic map of fractional order is introduced. The map 1 presents a dihedral symmetry D 3 . It is numerically shown that the construction and interpretation 2 of the bifurcation diagram versus the fractional order require special attention. The system stability 3 is determined and the problem of hidden attractors is analyzed. Also, analytical and numerical 4 results show that the chaotic attractor of integer order, with D 3 symmetries, looses its symmetry 5 in the fractional-order variant.
Keyword(s):
2016 ◽
Vol 26
(06)
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pp. 1650109
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2021 ◽
Vol 31
(04)
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pp. 2150062
2020 ◽
Vol 21
(6)
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pp. 571-587
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2021 ◽
2014 ◽
Vol 351
(1)
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pp. 555-564
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