$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig1.eps} \end{figure}$ Figure 1: Relative energy error along the major-axis orbit for two different truncations of the normal form at E=0.1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig2.eps} \end{figure}$ Figure 2: Relative energy error along the major-axis orbit for two different truncations of the normal form at E=0.5.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig3.eps} \end{figure}$ Figure 3: Relative energy error along the major-axis orbit for two different truncations of the continued fraction at E=0.5.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig4.eps} \end{figure}$ Figure 4: An orbit of the loop family at E=1.0 for q=0.9: dots correspond to the numerical solution; the continuous line corresponds to the prediction given by the continued fraction truncated at order 3; the dashed line that provided by the normal form truncated at order 3.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig5.eps} \end{figure}$ Figure 5: The same orbit of the previous figure (dots) compared with the predictions truncated at order 5 (continued fraction, continuous line; normal form, dashed line).
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig6.eps} \end{figure}$ Figure 6: Relative energy error along the loop orbit with two different truncations of the continued fraction.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig7.eps} \end{figure}$ Figure 7: An orbit of the pendulum-like (banana) family at E=1.15 for q=0.6: the dots correspond to the numerical solution; the continuous lines correspond to the predictions truncated at order 3.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig8.eps} \end{figure}$ Figure 8: The same orbit as in the previous figure (dots) compared with the predictions truncated at order 5 (continuous lines): for more clarity, the y-scale has been expanded.
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In the text

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{0023fig9.eps} \end{figure}$ Figure 9: Relative energy error along the banana orbit with two different truncations of the continued fraction.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig1.eps} \end{figure}$	Figure 1: Relative energy error along the major-axis orbit for two different truncations of the normal form at E=0.1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig2.eps} \end{figure}$	Figure 2: Relative energy error along the major-axis orbit for two different truncations of the normal form at E=0.5.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig3.eps} \end{figure}$	Figure 3: Relative energy error along the major-axis orbit for two different truncations of the continued fraction at E=0.5.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig4.eps} \end{figure}$	Figure 4: An orbit of the loop family at E=1.0 for q=0.9: dots correspond to the numerical solution; the continuous line corresponds to the prediction given by the continued fraction truncated at order 3; the dashed line that provided by the normal form truncated at order 3.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig5.eps} \end{figure}$	Figure 5: The same orbit of the previous figure (dots) compared with the predictions truncated at order 5 (continued fraction, continuous line; normal form, dashed line).
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig6.eps} \end{figure}$	Figure 6: Relative energy error along the loop orbit with two different truncations of the continued fraction.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig7.eps} \end{figure}$	Figure 7: An orbit of the pendulum-like (banana) family at E=1.15 for q=0.6: the dots correspond to the numerical solution; the continuous lines correspond to the predictions truncated at order 3.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{0023fig8.eps} \end{figure}$	Figure 8: The same orbit as in the previous figure (dots) compared with the predictions truncated at order 5 (continuous lines): for more clarity, the y-scale has been expanded.
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$\begin{figure} \par\includegraphics[width=8.5cm,clip]{0023fig9.eps} \end{figure}$	Figure 9: Relative energy error along the banana orbit with two different truncations of the continued fraction.
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