FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Periodic ultradiscrete transformations of the space |
Bykovskii V. A., Monina M. D. |
2023, issue 1, P. 12-15 DOI: https://doi.org/10.47910/FEMJ202302 |
Abstract |
| In previous works we have constructed five periodic ultradiscrete transformations of the plane. In the present work we construct similar transformation for 3-dimensional space. |
Keywords: nonlinear recurrent sequences, nonlinear periodic transformations, tropical sequences. |
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References |
| [1] R. Robinson, “Periodicity of Somos sequences”, Proceedings of the AMS, 116:3 (1992), 613–619. [2] S. Fomin and A. Zelevinsky, “The Laurent Phenomenon”, Adv. Appl. Math., 28 (2002), 119–144. [3] A. Nobe, “QRT maps and tropical elliptic curves”, J. Journal of Physics A: Mathematical and Theoretical, 41:12 (2008), 125205, 12 pp. [4] Allan P. Fordy and Andrew Hone, “Symplectic Maps from Cluster Algebras”, Symmetry, Integrability and Geometry: Methods and Applications, 7 (2011), 091, 12 pp. [5] V. A. Bykovskij, “Periodicheskie ul'tradiskretnye preobrazovanija ploskosti”, Dokl. RAN. Matem., inform., proc. upr., 500 (2021), 23–25. |