System for demonstrating oculomotor abnormalities in a eukaryote, the system including: —elements for capturing (13) the eye movements made by the eukaryote while the eukaryote is stimulated with at least one image in accordance with at least one instruction, wherein the capture elements (13, 14) supply a capture signal, —an analysis module (18) for calculating the value of at least one predetermined parameter by analysis of the capture signal, and —elements (22) for determining an abnormality as a function of the calculated value at least one predetermined value for each of the parameters.