二元和三元序列微分图表
Tables of graphs of binary and ternary sequences differentiation
摘要：
令$x$是有限域$\mathbb{F}_q$的$n$元素的循环序列（第一个元素紧跟着第$n$个元素）。让我们将操作$Δ$定义为从$x$到来自$x$的相邻元素的差的序列的转变。本文的目的是给出动力系统$Δ$对于$q=2$，$n\le 300$和$q=3$，$n\le 150$的图.这些结果使我们能够更精确地定义阿诺德假设并证明它们。
英文摘要：
Let $x$ be a cyclic sequence of $n$ elements of the finite field $\mathbb{F}_q$ (the first element immediately follows the $n$-th one). Let us define the operation $Δ$ as the transition from $x$ to the sequence of differences of the neighbouring elements from $x$. The aim of this work is to give graphs of the dynamic system $Δ$ for $q=2$, $n\le 300$ and $q=3$, $n\le 150$. These results enable us to define more precisely the Arnold hypotheses and to prove them.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
