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arxiv: 0704.2947 · v2 · submitted 2007-04-23 · 🧮 math.NT · math.DS

Tables of graphs of binary and ternary sequences differentiation

classification 🧮 math.NT math.DS
keywords definedeltaelementsgraphssequencearnoldbinarycyclic
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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 us define the operation $\Delta$ 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 $\Delta$ 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.

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