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In this thesis work, two topics, triaxiality and reflection asymmetry, havebeen discussed. Band structures in $^{163}$Tm were studied in a "thin" targetexperiment as well as in a DSAM lifetime measurement. Two new excited bandswere shown to be characterized by a deformation larger than that of the yrastsequence. These structures have been interpreted as Triaxial Strongly Deformedbands associated with particle-hole excitations, rather than with wobbling.Moreover, the Tilted-Axis Cranking calculations provide a natural explanationfor the presence of wobbling bands in the Lu isotopes and their absence in theneighboring Tm, Hf and Ta nuclei. A series of so-called "unsafe" Coulombexcitation experiments as well as one-neutron transfer measurements was carriedout to investigate the role of octupole correlations in the $^{238,240,242}$Puisotopes. Some striking differences exist between the level scheme anddeexcitation patterns seen in $^{240}$Pu, and to a lesser extent in $^{238}$Pu,and those observed in $^{242}$Pu and in many other actinide nuclei such as$^{232}$Th and $^{238}$U, for example. The differences can be linked to thestrength of octupole correlations, which are strongest in $^{240}$Pu. Further,all the data find a natural explanation within the recently proposedtheoretical framework of octupole condensation.

Exotic Collective Excitations at High Spin: Triaxial Rotation and Octupole Condensation