Submitted:
17 December 2021
Posted:
20 December 2021
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Abstract
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.
Keywords:
Discrete fractional-order system
; Caputo delta fractional difference
; Hidden attractor
; Dihedral symmetry D3
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