Abstract: The present invention relates to an aerodynamic or hydrodynamic profile (1) which can be deformed in a continuous and controlled manner, essentially consisting of a shell mounted on an infrastructure. The profile is characterized in that said infrastructure comprises a core (2) extending along the longitudinal axis of the cross section of the profile (1), and in that this core (2) has at least one active section made of composite material having continuous and controlled deformation under the effect of an adjustable temperature variation in at least one active layer of said composite material which, in the regions of the shell of the profile (1) corresponding to said active section, induces a deformation of corresponding direction and amplitude.