Discrete integrable systems

introduction

discrete integrable system means a system with a time evolution with discrete time (like time in integers)

Atsushi Nobe, Mutations of the cluster algebra of type $A^{(1)}_1$ and the periodic discrete Toda lattice, arXiv:1603.08325[nlin.SI], March 28 2016, http://arxiv.org/abs/1603.08325v1
Al-Ghassani, A., and R. Halburd. “Height Growth of Solutions and a Discrete Painlev’e Equation.” Nonlinearity 28, no. 7 (July 1, 2015): 2379–96. doi:10.1088/0951-7715/28/7/2379.
Lou, S. Y., Yu-qi Li, and Xiao-yan Tang. “From Nothing to Something: Discrete Integrable Systems.” Chinese Physics Letters 30, no. 8 (August 2013): 080202. doi:10.1088/0256-307X/30/8/080202.