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D3 Dihedral Logistic Map of Fractional Order. / Danca, Marius F.; Kuznetsov, Nikolay.

In: Mathematics, Vol. 10, No. 2, 213, 11.01.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Danca, MF & Kuznetsov, N 2022, 'D3 Dihedral Logistic Map of Fractional Order', Mathematics, vol. 10, no. 2, 213. https://doi.org/10.3390/math10020213

APA

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

Vancouver

Danca MF, Kuznetsov N. D3 Dihedral Logistic Map of Fractional Order. Mathematics. 2022 Jan 11;10(2). 213. https://doi.org/10.3390/math10020213

Author

Danca, Marius F. ; Kuznetsov, Nikolay. / D3 Dihedral Logistic Map of Fractional Order. In: Mathematics. 2022 ; Vol. 10, No. 2.

BibTeX

@article{8efdfd3626d7456da5d91c2e011555d7,
title = "D3 Dihedral Logistic Map of Fractional Order",
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 = "Caputo delta fractional difference, Dihedral symmetry D, Discrete fractional-order system, Hidden attractor, Dihedral symmetry D3",
author = "Danca, {Marius F.} and Nikolay Kuznetsov",
note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",
year = "2022",
month = jan,
day = "11",
doi = "10.3390/math10020213",
language = "English",
volume = "10",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "2",

}

RIS

TY - JOUR

T1 - D3 Dihedral Logistic Map of Fractional Order

AU - Danca, Marius F.

AU - Kuznetsov, Nikolay

N1 - Publisher Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2022/1/11

Y1 - 2022/1/11

N2 - 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.

AB - 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.

KW - Caputo delta fractional difference

KW - Dihedral symmetry D

KW - Discrete fractional-order system

KW - Hidden attractor

KW - Dihedral symmetry D3

UR - http://www.scopus.com/inward/record.url?scp=85122987620&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0901a596-ad97-3f65-b22e-bf3bdbcdcd27/

U2 - 10.3390/math10020213

DO - 10.3390/math10020213

M3 - Article

AN - SCOPUS:85122987620

VL - 10

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 2

M1 - 213

ER -

ID: 95230888