  The average shape of the Spectral Local Density of States (LDOS) and
eigenfunctions (EFs) has been studied numerically for a conservative dynamical
model (three-orbital Lipkin-Meshkov-Glick model) which can exhibit strong chaos
in the classical limit. The attention is paid to the comparison of the shape of
LDOS with that known for random matrix models, as well as to the shape of the
EFs, for different values of the perturbation strength. The classical
counterparts of the LDOS has also been studied and found in a remarkable
agreement with the quantum calculations. Finally, by making use of a
generalization of Brillouin- Wigner perturbation expansion, the form of long
tails of LDOS and EFs is given analytically and confirmed numerically.
