A valve for a pneumatic system, has: a first enclosure defining a first chamber and a first connection port; a second enclosure defining a second chamber and a second connection port; a first shell subjected to a first pressure differential and movable from a default position to a reversed position via snap-through buckling upon the first pressure differential reaching a threshold; and a second shell having a shape different than a shape of the first shell, the second shell resiliently movable from an initial position to a deformed position when subjected to a second pressure differential, wherein a first flow rate of a fluid via the first connection port induces deformation of the second shell followed by a snapping of the first shell thereby generating a second flow rate greater than the first flow rate.