We present near-infrared 2.1-mu m continuum and Br gamma and 1-OS(1) l
ine images of three blue compact dwarf galaxies: II Zw 40, NGC 5253 an
d He 2-10. Comparison of the morphologies of the emission-line regions
and continuum together with the line ratios shows that in these cases
the starbursts are typified by strongly peaked Br gamma and weak diff
use H-2 emission, indicating the presence of one or more compact nucle
i, and also tidal tails. We consider the possible origins of the H-2 e
mission, and conclude that shock excitation in cloud collisions, and h
ence dynamical processes such as interactions or mergers, is important
. By comparing models of the equivalent width of Br gamma to other age
constraints from the literature we show that the star formation must
have occurred not only recently but in a short-duration burst. The cur
rent centres of star formation in all three galaxies are of a similar
age but, whereas the hotspots in He 2-10 are coeval, we find phase dif
ferences between those in NGC 5253. We compare the masses and sizes of
the star formation sites to those of present-day globular clusters.