Article
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D3 Dihedral Logistic Map of Fractional Order
Version 1
: Received: 17 December 2021 / Approved: 20 December 2021 / Online: 20 December 2021 (10:20:56 CET)
A peer-reviewed article of this Preprint also exists.
Danca, M.-F.; Kuznetsov, N. D3 Dihedral Logistic Map of Fractional Order. Mathematics 2022, 10, 213. Danca, M.-F.; Kuznetsov, N. D3 Dihedral Logistic Map of Fractional Order. Mathematics 2022, 10, 213.
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
Subject
Computer Science and Mathematics, Computational Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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