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In this work we derive a lower bounds for the Hausdorff and fractaldimensions of the global attractor of the Sabra shell model of turbulence indifferent regimes of parameters. We show that for a particular choice of theforcing and for sufficiently small viscosity term $\nu$, the Sabra shell modelhas a global attractor of large Hausdorff and fractal dimensions proportionalto $\log_\lambda \nu^{-1}$ for all values of the governing parameter$\epsilon$, except for $\epsilon=1$. The obtained lower bounds are sharp,matching the upper bounds for the dimension of the global attractor obtained inour previous work. Moreover, we show different scenarios of the transition tochaos for different parameters regime and for specific forcing. In the``three-dimensional'' regime of parameters this scenario changes when theparameter $\epsilon$ becomes sufficiently close to 0 or to 1. We also show thatin the ``two-dimensional'' regime of parameters for a certain non-zero forcingterm the long-time dynamics of the model becomes trivial for any value of theviscosity

Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence