On Page 145 of Arnold's mechanics book there is the intermediate axis theorem:
"The stationary solutions of the Euler equations corresponding to the largest and smallest principal axes [of the inertia ellipsoid for a rigid body] are stable while the solution corresponding to the middle axis is unstable."
Right afterwards there is a problem:
"Problem: Are stationary rotations of the body around the largest and smallest principal axes Lyapunov stable? Answer: No."
How is this not a contradiction?
I suppose one could describe a body using a reference frame whose origin was away from the body's center of mass. Then obviously rotation of such a body about the inertia ellipsoid's axes might not be a stable rotation. But such a reference frame seems out of context for this discussion.