ABSTRACT
This is a limited excursion in the field of hydrodynamical instabilities, in itself an infinite domain of research. It is first restricted to a Rayleigh Benard experiment, and we will study the case of a small Prandtl number fluid (0.4 < Ρ < 1). To simplify the problem some more we shall restrict ourselves to the geometry of a small rectangular box with two or three convective rolls present. This somewhat artificial case allows us to truncate the degrees of freedom of the system and thus to define some simple bifurcations to turbulence.
