  We study the conditions under which the nucleons inside a deformed nucleus
can undergo chaotic motion. To do this we perform self-consistent calculations
in semiclassical approximation utilizing a multipole-multipole interaction of
the Bohr-Mottelson type for quadrupole and octupole deformations. For the case
of harmonic and non-harmonic static potentials, we find that both multipole
deformations lead to regular motion of the collective coordinate, the multipole
moment of deformation. However, despite this regular collective motion, we
observe chaotic single particle dynamics.
