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@article{DANMA_2021_500_a3, author = {V. A. Bykovskii}, title = {Periodic ultradiscrete plane transformations}, journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a}, pages = {23--25}, publisher = {mathdoc}, volume = {500}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DANMA_2021_500_a3/} }
TY - JOUR AU - V. A. Bykovskii TI - Periodic ultradiscrete plane transformations JO - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ PY - 2021 SP - 23 EP - 25 VL - 500 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DANMA_2021_500_a3/ LA - ru ID - DANMA_2021_500_a3 ER -
V. A. Bykovskii. Periodic ultradiscrete plane transformations. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 23-25. http://geodesic.mathdoc.fr/item/DANMA_2021_500_a3/
[1] Nobe A., “Ultradiscrete QRT maps and tropical elliptic curves”, J. Journal of Physics A: Mathematical and Theoretical, 41:12 (2008), 125205, 12 pp. | DOI | MR | Zbl
[2] Takahashi D., Satsuma J., “A Soliton Cellular Automaton”, Journal of the Physical Society of Japan, 59:10 (1990), 3514–3519 | DOI | MR
[3] Tokihiro T., Takahashi D., Matsukidaira J., Satsuma J., “A From Soliton Equations to Integrable Cellular Automata through a Limiting Procedure”, Physical Review Letters, 76 (1996), 3247 | DOI | MR
[4] Matsukidaira J., Satsuma J., Takahashi D., Tokihiro T., Torii M., “Toda-type cellular automaton and its N-soliton solution”, Physics Letters A, 225:4-6 (1997), 287–295 | DOI | MR | Zbl
[5] Nakata Y., The solution to the initial value problem for the ultradiscrete Somos-4 and 5, 2017, arXiv: 1701.04262
[6] Fordy A.P., Hone A., “Symplectic Maps from Cluster Algebras”, SIGMA, 7 (2011), 091, 12 pp. | MR | Zbl
[7] Swart C., Hone A., Integrality and the Laurent phenomenon for Somos 4 sequences, 2006, arXiv: math/0508094 | MR
[8] Swart C., Hone A., Efficient ECM factorization in parallel with the Lyness map, arXiv: 2002.03811