We consider three representative cases:
a) “Weather waves coupled with convection” in which
the fast waves are 10 times smaller and 10 times faster,
and the coupling is weak:
b) “ENSO coupled ocean-atmosphere” in which
the fast waves have the same space scale, but are
10 times faster. We also used stronger coupling:
c) “Tropical-extratropical” system in which
the ENSO tropical atmosphere is weakly coupled to
a fast extratropical “atmosphere”  (triply-coupled)