<p>The kicked double rotor is a paradigmatic model for higher-dimensional mechanical systems exhibiting chaotic behavior. In this contribution, we aim to refine and extend previous results about the map as a step towards a future extensive multiparametric investigation. We focus on the limiting case for which the dissipation parameter is at its maximum value, obtain numerical approximations of non-attracting chaotic invariant sets and examine long chaotic transients occurring after a boundary crisis, and how they affect a thorough investigation of the system. Working in the limiting regime of maximum dissipation, our results reveal bifurcation branches and boundary-crisis-induced long chaotic transients, and we compute numerical approximations of the corresponding chaotic saddles.</p>