Comment on “Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures, Physica D 240 (2011) 599–606”

Bihlo and Staufer (2011), point out that “truncation to systems in coupled gyrostats form (Gluhovsky, 2006, Gluhovsky et al., 2002) may also lead to models that retain the conservation properties of the original equations and that a single gyrostat is a Nambu system and hence using such a truncation, conservation of the underlying geometry may be implemented at least in some minimal form”. In this note, we demonstrate that example systems in Bihlo and Staufer (2011) may indeed be treated in terms of gyrostats; in particular, their central example (six-mode system (13)) proves to be a four-dimensional gyrostat.