Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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.

Journal reference: Mathematics 2022, 10, 213
DOI: 10.3390/math10020213

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

MATHEMATICS & COMPUTER SCIENCE, Computational Mathematics

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