A1 Journal article (refereed)
D3 Dihedral Logistic Map of Fractional Order (2022)

Danca, Marius-F., & Kuznetsov, N. (2022). D3 Dihedral Logistic Map of Fractional Order. Mathematics, 10(2), Article 213. https://doi.org/10.3390/math10020213

JYU authors or editors

Publication details

All authors or editors: Danca, Marius-F.; Kuznetsov, Nikolay

Journal or series: Mathematics

eISSN: 2227-7390

Publication year: 2022

Publication date: 11/01/2022

Volume: 10

Issue number: 2

Article number: 213

Publisher: MDPI AG

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.3390/math10020213

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/79816

Abstract

In this paper, the D3 dihedral logistic map of fractional order is introduced. The map presents a dihedral symmetry D3. It is numerically shown that the construction and interpretation of the bifurcation diagram versus the fractional order requires special attention. The system stability is determined and the problem of hidden attractors is analyzed. Furthermore, analytical and numerical results show that the chaotic attractor of integer order, with D3 symmetries, looses its symmetry in the fractional-order variant.

Keywords: mathematical analysis; dynamical systems; chaos theory; bifurcation; attractors

Free keywords: discrete fractional-order system; caputo delta fractional difference; hidden attractor; dihedral symmetry D3

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2022

JUFO rating: 0