ARTICLE | doi:10.20944/preprints202112.0303.v1
Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Discrete fractional-order system; Caputo delta fractional difference; Hidden attractor; Dihedral symmetry D3
Online: 20 December 2021 (10:20:56 CET)
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.