Within the framework of the two-center shell model the classically dyn
amical behaviour of a nucleon in heavy nuclei is investigated systemat
ically with the change of nuclear shape parameters for the first time.
It is found that as long as the nucleonic energy is appreciably highe
r than the height of the potential barrier there is a good quantum-cla
ssical correspondence of nucleonic regular (chaotic) motion. Thus: Boh
igas, Giannoni and Schmit conjecture is confirmed once again. We find
that the difference between the potential barrier for prolate nuclei a
nd that for oblate ones is reponsible for the energy-dependence differ
ence between the nucleonic chaotic dynamics for prolate nuclei and tha
t for oblate ones. In addition, it is suggested that nuclear dissipati
on is shape-dependent, and strong nuclear dissipation can be expected
for medium or large separations in the presence of a considerable neck
deformation built on a pronounced octupole-like deformation, which pr
ovides us a dynamical understanding of nuclear shape dependence of nuc
lear dissipation.