ABSTRACT
Figure 3.4: Total energy and oscillatory energy versus time. Stormer/Verlet
h = 0.01 and h = 0.04, lj = 20.
This quantity is an adiabatic invariant, known to remain constant up to oscilla
tions of size 0 (oj~1) on time intervals that are exponentially long in w, i.e., for t < eCUJ ; see [BGG87, GGMV92, HaL99]. The numerical oscillatory energy also
shows no drift. Comparing the two pictures, it is seen that the average value of I becomes smaller by about the same amount as that of the total energy H .
