Résumé en anglais

In this paper, we study the evolutions of tubes that can be regarded as set-valued maps with compact images from R+ to a finite dimensional vector spaceXunder some constraints that we call operability constraints. We first recall some properties of the mutational calculus in the metric space (K (X), D ) where K (X) is the set of nonempty compact subsets ofX, and D is the Hausdorff distance. The main result is the geometric characterization of the dynamics of the tubes that satisfy the operability constraint.