Let $[a_1(0),\ldots,a_n(0)]$ be a real vector; define recursively $a_i(t+1)=|a_i(t)-a_{(i+1)}(t)|$. This paper is devoted to the study of $[a_1(t),\ldots,a_n(t)]$ for $t$ tending to infinity.
Diana M. Thomas;John G. Stevens;Steven Lettieri, 2006, Characteristic and Minimal Polynomials of Linear Cellular Automata, The Rocky Mountain journal of mathematics/Rocky Mountain journal of mathematics, 36, 3, 10.1216/rmjm/1181069447, https://doi.org/10.1216/rmjm/1181069447.