Abstract: Authors: Dvorak,R, Lohinger, E. Title: Pluto's Lyapunov Numbers in different dynamical models We present the results of numerical integrations of Pluto and some fictitious Plutos in 3 different models: 1. the circular restricted problem with Sun and Neptune as primaries, 2. the elliptic restricted problem where Neptune moves in an elliptic orbit and 3. the outer Solar System from Jupiter to Neptune. We determined the ''extension'' of the stable region for the motion of Pluto in these models by means of the Lyapunov Numbers and an analysis of the orbital elements. It turned out that Pluto is moving on the outer edge of a relatively stable zone whose size is about 0.7 AU with respect to the semi-major axis of Pluto.