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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 usdefine the operation $\Delta$ as the transition from $x$ to the sequence ofdifferences of the neighbouring elements from $x$. The aim of this work is togive graphs of the dynamic system $\Delta$ for $q=2$, $n\le 300$ and $q=3$,$n\le 150$. These results enable us to define more precisely the Arnoldhypotheses and to prove them.

Tables of graphs of binary and ternary sequences differentiation