The space of initial conditions and the property of an almost good reduction in discrete Painlevé II equations over finite fields

DOI10.1080/14029251.2013.862437zbMath1420.37068arXiv1209.0223OpenAlexW2164186116MaRDI QIDQ5230927

Tetsuji Tokihiro, Masataka Kanki, Jun Mada

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0223

zbMATH Keywords

finite fieldgood reductiondiscrete Painlevé equationspace of initial condition

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Dynamical systems over finite ground fields (37P25)

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