Elastic, inelastic, and muon transfer processes of the $\mathrm{dt}\ensuremath{\mu}$ system above the $t\ensuremath{\mu}(n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2)$ threshold are studied theoretically using the hyperspherical coordinate method. Strong oscillation structures in the cross sections for these processes due to strong, attractive dipole potentials in this system are found. In addition to the expected Gailitis-Damburg Stark mixing oscillations, unexpected oscillations due to diabatic couplings of channels lacking attractive dipole potentials with those that have them are evident. The two types of oscillations interfere to produce the structure that appears in the computed cross sections.