Fidelity and level correlations in the transition from regularity to chaos

Mean fidelity amplitude and parametric energy-energy correlations are calculated exactly for a regular system, which is subject to a chaotic random perturbation. It turns out that in this particular case on the average both quantities are identical. The result is compared with the susceptibility of chaotic systems against random perturbations. Regular systems are more susceptible to random perturbations than chaotic ones.