Gesture, gesticulation are comparable when meaning an expressive movement or motion of the body or limbs or the use of such a movement or motion.
Gesture is the more inclusive term; it may imply any such movement or motion intended to express what words cannot, or to increase the effectiveness or poignancy of words that are being uttered, or to take the place of words when for some reason or other they are unnecessary or impossible.
Gesticulation, on the other hand, is applicable only when there is implication of unrestrained excitement, or the loss or absence of grace or dignity, or a determined effort to attract attention.