Periodic ultradiscrete transformations of the space
Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 1, pp. 12-15.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{DVMG_2023_23_1_a1,
     author = {V. A. Bykovskii and M. D. Monina},
     title = {Periodic ultradiscrete transformations of the space},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {12--15},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a1/}
}
TY  - JOUR
AU  - V. A. Bykovskii
AU  - M. D. Monina
TI  - Periodic ultradiscrete transformations of the space
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2023
SP  - 12
EP  - 15
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a1/
LA  - ru
ID  - DVMG_2023_23_1_a1
ER  - 
%0 Journal Article
%A V. A. Bykovskii
%A M. D. Monina
%T Periodic ultradiscrete transformations of the space
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2023
%P 12-15
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a1/
%G ru
%F DVMG_2023_23_1_a1
V. A. Bykovskii; M. D. Monina. Periodic ultradiscrete transformations of the space. Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 1, pp. 12-15. http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a1/

[1] R. Robinson, “Periodicity of Somos sequences”, Proceedings of the AMS, 116:3 (1992), 613–619 | DOI | MR | Zbl

[2] S. Fomin and A. Zelevinsky, “The Laurent Phenomenon”, Adv. Appl. Math., 28 (2002), 119–144 | DOI | MR | Zbl

[3] A. Nobe, “QRT maps and tropical elliptic curves”, J. Journal of Physics A: Mathematical and Theoretical, 41:12 (2008), 125205, 12 pp. | DOI | MR | Zbl

[4] Allan P. Fordy and Andrew Hone, “Symplectic Maps from Cluster Algebras”, Symmetry, Integrability and Geometry: Methods and Applications, 7 (2011), 091, 12 pp. | MR | Zbl

[5] V. A. Bykovskii, “Periodicheskie ultradiskretnye preobrazovaniya ploskosti”, Dokl. RAN. Matem., inform., prots. upr., 500 (2021), 23–25 | DOI | Zbl