D3 Dihedral Logistic Map of Fractional Order
Danca, Marius-F., & Kuznetsov, N. (2022). D3 Dihedral Logistic Map of Fractional Order. Mathematics, 10(2), Article 213. https://doi.org/10.3390/math10020213
DisciplineComputing, Information Technology and MathematicsLaskennallinen tiedeTietotekniikkaComputing, Information Technology and MathematicsComputational ScienceMathematical Information Technology
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
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.
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Additional information about fundingN.K. and M.-F.D. acknowledge support from the Russian Science Foundation project 19-41-02002.
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