All Figures

$\begin{figure} \includegraphics[width=16cm,clip]{h4725f1.eps} \end{figure}$ Figure 1: a) Resonances of the unperturbed Hamiltonian (3) for 1<|m₁|+|m₂|+|m₃|<9 and energy h=1yielding the theoretical Arnold web on the energy surface. b) Strongest resonances and their theoretical widths. Arrows within resonances (2,-3,0) and (2,0,-3) indicate the direction in which $\bm {\Delta h}_{\bm {m}}^r$ oscillates about the corresponding resonant value. (Both Figs. a) and b) have been taken from Cincotta et al. 2003.) c) Actual dynamics of the system revealed by the MEGNO: $\overline {Y}(t_{\rm f})$ -levels on the energy surface for $\epsilon =5\times 10^{-3}$ , $h=1/(4\beta ^4)\approx 0.485$ (see text). The contour plot corresponds to $\overline {Y}$ binned in the intervals [1.99, 1.995), [2, 2.015), [2.015, 20), [20, 160), [160, 215) , being $t_{\rm f}=3500T$ .
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In the text

$\begin{figure} \par\includegraphics[width=14cm,clip]{h4725f2.eps} \end{figure}$ Figure 2: $\overline {Y}(t_{\rm f})$ -levels on the energy surface. The contour plot in gray scale (from white to dark-gray) corresponds to $\overline {Y}$ binned in the intervals, a) [0, 2.01), [2.01, 15), [15, 50), [50, 160), [160, 412); b) [0, 2.1), [2.1, 30), [30, 60), [60, 130), [130,310) [310, 512).
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In the text

$\begin{figure} \par\includegraphics[width=75mm,clip]{miraall3.eps} \end{figure}$ Figure 3: Fraction of chaotic motion vs. $\epsilon$ (in logarithmic scale). The vertical lines refer to the values of $\epsilon$ adopted for Figs. 1c and 2.
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In the text

$\begin{figure} \par\includegraphics[width=15cm,clip]{h4725f4.eps} \end{figure}$ Figure 4: Diffusion on the energy surface at moderate-to-high perturbations after $3\times 10^6$ characteristic periods T of the system for: a) $\epsilon =0.02$ , and b) $\epsilon =0.04$ ; and after $3\times 10^8 T$ for: c) $\epsilon =0.02$ , and d) $\epsilon =0.04$ .
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In the text

$\begin{figure} \includegraphics[width=15cm,clip]{h4725f5.eps} \end{figure}$ Figure 5: a) Enlargement of Fig. 4d around (e₁,e₂)=(0,0). b) Diffusion of a single orbit over the energy surface for $\epsilon =0.04$ and $t_{\rm f}=6\times 10^8$ T (see text for details). c) Blow-up around the origin in the contour plot displaying the $\overline {Y}(t_{\rm f})$ -levels on the energy surface for $\epsilon =5\times 10^{-3}$ and $t_{\rm f}=350T$ (taken from Cincotta et al. 2003). d) Diffusion close to (e₁,e₂)=(0,0) for $\epsilon =5\times 10^{-3}$ and $t_{\rm f}=3\times 10^8$ T (see text for details).
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In the text

$\begin{figure} \par\includegraphics[width=14cm,clip]{h4725f2.eps} \end{figure}$	Figure 2: $\overline {Y}(t_{\rm f})$ -levels on the energy surface. The contour plot in gray scale (from white to dark-gray) corresponds to $\overline {Y}$ binned in the intervals, a) [0, 2.01), [2.01, 15), [15, 50), [50, 160), [160, 412); b) [0, 2.1), [2.1, 30), [30, 60), [60, 130), [130,310) [310, 512).
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$\begin{figure} \par\includegraphics[width=75mm,clip]{miraall3.eps} \end{figure}$	Figure 3: Fraction of chaotic motion vs. $\epsilon$ (in logarithmic scale). The vertical lines refer to the values of $\epsilon$ adopted for Figs. 1c and 2.
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$\begin{figure} \par\includegraphics[width=15cm,clip]{h4725f4.eps} \end{figure}$	Figure 4: Diffusion on the energy surface at moderate-to-high perturbations after $3\times 10^6$ characteristic periods T of the system for: a) $\epsilon =0.02$ , and b) $\epsilon =0.04$ ; and after $3\times 10^8 T$ for: c) $\epsilon =0.02$ , and d) $\epsilon =0.04$ .
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