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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2021 Volume 21, Number 2, Pages 231–233 (Mi dvmg460)

Periodic ultradiscrete plane transformation with a period of 12

M. D. Monina

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: V.A. Bykovskii constructed a new periodic ultradiscrete plane transformation with a period of 12. In his work only the idea of proving this periodicity was proposed. We provide a complete and detailed proof of this statement.

Key words: nonlinear recurrent sequences, tropical sequences, nonlinear periodic transformations.

UDC: 517.583 + 512.742.72

MSC: 14T90

Received: 08.10.2021

DOI: 10.47910/FEMJ202119



© Steklov Math. Inst. of RAS, 2025