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D 3 Dihedral Logistic Map of Fractional Order

Author

Listed:
  • Marius-F. Danca

    (STAR-UBB Institute, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
    Romanian Institute of Science and Technology, 400504 Cluj-Napoca, Romania)

  • Nikolay Kuznetsov

    (Mathematics and Mechanics Faculty, Saint-Petersburg State University, 199034 Saint Petersburg, Russia
    Department of Mathematical Information Technology, University of Jyväskylä, 40014 Jyväskylä, Finland)

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.

Suggested Citation

  • Marius-F. Danca & Nikolay Kuznetsov, 2022. "D 3 Dihedral Logistic Map of Fractional Order," Mathematics, MDPI, vol. 10(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:213-:d:722013
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    Cited by:

    1. Han Bao & Ruoyu Ding & Mengjie Hua & Huagan Wu & Bei Chen, 2022. "Initial-Condition Effects on a Two-Memristor-Based Jerk System," Mathematics, MDPI, vol. 10(3), pages 1-13, January.

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