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We study low energy shape oscillations of negative parity in the first andsecond (isomeric) minima in actinides. As a main tool we use thephenomenological Woods-Saxon potential with a variety of shape deformations.This allows to include a mixing of various multipolarities when consideringoscillations with a fixed $K$ quantum number. The phonon energies aredetermined either from the collective Hamiltonian with themicroscopic-macrocopic energy and cranking mass parameters, or from itssimplified version with the constant mass parameters. The results for$K^{\pi}=0^-$,$1^-$ in the first minima are in a reasonable agreement withexperimental data, including predicted E1 transitions; the $K^{\pi}=2^-$energies are systematically overestimated. In the second minimum, as comparedto the data for $^{240}$Pu and $^{236}$U, our calculated $K=$1,2 energies areoverestimated while the $K=0$ energies are three or more times too large. Thissignals either a non-collective character of the experimentally assigned $K=0$states or a serious flaw of the model in the second minimum. More data on the$K=0$, $I^{\pi}=1^-$ collective states in the second minima of other nuclei arenecessary to resolve this issue.

Low energy shape oscillations of negative parity in the main and shape-isomeric minima in actinides