Title: Nuclear Starbursts Abstract: Investigations of some aspects of star formation in external galaxies are presented. The role of tidal interactions in controlling the star-formation rate of galaxies has been investigated using a large, volume and luminosity limited, sample of galaxies drawn from the Sloan Digital Sky Survey. Star-formation rates have been estimated from aperture and extinction corrected \Halpha\ data, and, for a subset of galaxies, from {\it IRAS} far-infrared observations. Using the \rband\ light distributions of galaxies, it was possible to take into account the morphology of both of the galaxies involved in the interaction in a way which is largely independent of star formation. This statistical study is then extended by taking into consideration the effect of density of environment; and, by investigating the possibility that active galactic nuclei may also be triggered by tidal interactions. Being based on a \rband-selected volume-limited sample, the above statistical study is fairly representative of the range star-formation rates seen in the local universe. In order to investigate the highly obscured intensely star-forming systems known to be increasingly important in the younger Universe, observations and models of some infrared-selected systems are presented. Emphasis is placed on interpretation of mid-infrared observations, and as an important tool for this, a comprehensive and physical model for dust emission from nuclear starbursts is developed. \vspace*{0.5cm} It has been shown that galaxies with close companions have star-formation rates which are, on average, enhanced compared to isolated galaxies. Furthermore, their \rband\ light profiles and \Halpha\ emission tend to be centrally concentrated, which is interpreted as evidence that tidal interactions lead to nuclear star formation. No evidence, however, for tidal triggering of AGN is found. Also, a remarkable independence between the effects of density of environment and galaxy interactions in the local universe is demonstrated. Making use of constraints from new high-resolution mid-infrared imaging, and published far-infrared, radio, near-infrared observations, mid-infrared emission from NGC 520 and Arp 220 is modelled with considerable success. It is found that observations of both of these galaxies are consistent with them being powered by starbursts. The mid-infrared models suggest that there is significant processing of dust in the extreme radiation field of Arp 220, leading to destruction of most, but not all, dust grains smaller than 30\,\AA.