Collective modes in asymmetric nuclear matter

The collective response of asymmetric nuclear matter is studied on the basis of the corresponding generalized Landau Dispersion Relations. Isoscalar-isovector coupling, disappearance of collectivity and possibility of new instabilities are discussed with accent on their relation to properties of the symmetry term in the nuclear equation of state. Implications for collective modes in β-unstable nuclei, for reaction mechanisms with radioactive heavy-ion beams and for nuclear astrophysics are presented.