Abstract: A method for analyzing and displaying process states of a technical plant includes enabling simultaneous, coherent assessment and display of relevant process variables of the plant by evaluating relevant process variables with regard to one another through the use of a neural analysis on the basis of self-organizing maps, by making a topology-producing projection of data of the relevant process variables onto a neural map. The current process courses are plotted as trajectories on the map. Evaluation in the sense of a diagnosis can be carried out either visually or in an automated manner.