  We define oscillating sequences which include the M\"obius function in the
number theory. We also define minimally mean attractable flows and minimally
mean-L-stable flows. It is proved that all oscillating sequences are linearly
disjoint from minimally mean attractable and minimally mean-L-stable flows. In
particular, that is the case for the M\"obius function. Several minimally mean
attractable and minimally mean-L-stable flows are examined. These flows include
the ones defined by all $p$-adic polynomials, all $p$-adic rational maps with
good reduction, all automorphisms of $2$-torus with zero topological entropy,
all diagonalized affine maps of $2$-torus with zero topological entropy, all
Feigenbaum zero topological entropy flows, and all orientation-preserving
circle homeomorphisms.
