pulses as well as partial reflection of some of them may be observed all the way along the cascade. The next Section will help to quantify a bit these statements.\

Multiscaling properties of the chaotic phase
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Moments of the variables $\phi_{n}$, defined as $S_{n,p}=\langle\phi_{n}^{p}\rangle$, are good tools for characterizing the intermittency of shell models. According to (\[defphi\]), exponential growth of any of the $S_{n,p}$’s with $n$ in the inertial range is the sign of deviations from K41-scaling. However we shall rather concentrate on moments of the energy flux $\epsilon_{n}$ defined in (\[flux\_n\]), namely on quantities $\Sigma _{n,p}=\langle |\epsilon _{n}|^{p\over 3}\rangle$ The reason for this choice has already been discussed in [@KLWB] within the context of the GOY model. The point is that for moderate $p$, the oscillations we found in the static solution still contaminate $S_{n,p}$. Although they are much smaller, they prevent us from an accurate determination of the scaling exponents. As far as scaling properties are concerned, the $\Sigma_{n,p}$’s provide a valuable alternative, because they are free from any spurious oscillations.\
On the other hand one must be aware that the absolute value introduces a considerable bias for the lowest moments if the energy cascade has a 