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{| align="center" cellpadding="8" style="text-align:center"
{| align="center" cellpadding="8" style="text-align:center"
|
<math>\begin{array}{ccc}
\texttt{u}' & = & \texttt{((u)(v))}
\\
\texttt{v}' & = & \texttt{((u,~v))}
\end{array}</math>
|-
|-
| <math>\text{Incipit 1.}\ (u, v) = (0, 0)</math>
|
<math>\begin{matrix}
\text{Orbit 1}
\\
\text{Initial Point :}~ (u, v) = (1, 1)
\end{matrix}</math>
|-
|-
|
|
<math>\begin{array}{c|cc|cc|cc|cc|cc|c}
<math>\begin{array}{c|cc}
t & u & v & du & dv & d^2 u & d^2 v & d^3 u & d^3 v & d^4 u & d^4 v & \ldots \\
t & u & v \\
\\
\\
0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & \ldots \\
0 & 1 & 1 \\
1 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \ldots \\
1 & 1 & 1 \\
2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
2 & '' & '' \\
\end{array}</math>
\end{array}</math>
|-
|-
| <math>\text{Incipit 2.}\ (u, v) = (1, 1)</math>
|
<math>\begin{matrix}
\text{Orbit 2}
\\
\text{Initial Point :}~ (u, v) = (0, 0)
\end{matrix}</math>
|-
|-
|
|
<math>\begin{array}{c|cc|cc|cc|cc|cc|c}
<math>\begin{array}{c|cc}
t & u & v & du & dv & d^2 u & d^2 v & d^3 u & d^3 v & d^4 u & d^4 v & \ldots \\
t & u & v \\
\\
\\
0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
0 & 0 & 0 \\
1 & 0 & 1 \\
4 & '' & '' & '' & '' & '' & '' & '' & '' & '' & '' & \ldots \\
2 & 1 & 0 \\
3 & 1 & 0 \\
4 & '' & '' \\
\end{array}</math>
\end{array}</math>
|}
|}
