D 3 Dihedral Logistic Map of Fractional Order

Marius-F. Danca and Nikolay Kuznetsov
Additional contact information
Marius-F. Danca: STAR-UBB Institute, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
Nikolay Kuznetsov: Mathematics and Mechanics Faculty, Saint-Petersburg State University, 199034 Saint Petersburg, Russia

Mathematics, 2022, vol. 10, issue 2, 1-16

Abstract: In this paper, the D 3 dihedral logistic map of fractional order is introduced. The map presents a dihedral symmetry D 3 . 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 D 3 symmetries, looses its symmetry in the fractional-order variant.

Keywords: discrete fractional-order system; caputo delta fractional difference; hidden attractor; dihedral symmetry D 3 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/2/213/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/2/213/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:2:p:213-:d:722013

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().