The two Jasmines most commonly used for bonsai are:

Trachelospermum asiaticum Minima ‘Asiatic Jasmine’ Many varieties, some with tiny leaves. You will sometimes find them listed in Japanese books as the Judas Tree. Does not bloom but gets great fall colored foliage.
Trachelospermum jasminoides ‘Confederate Jasmine’ Blooms from early Spring on into Summer.

PRUNING… A prolific grower so will need to be pruned regularly. Can be heavily top and root pruned. Will back bud on old wood.

TRAINING… The Asiatic Jasmine lends itself more to the windswept or semi cascade style as the Confederate Jasmine more for a cascade. Wiring of main branches in initial styling can be done, they are very flexible. Being such a quick grower clip and grow can be used on secondary and tertiary branches.

LIGHT… Full sun for blooms, foliage color and to try to keep it from vining too much.

WATERING… Prefers not to have wet feet, so do not over water. Is very drought tolerant in the landscape, as all bonsai though should never dry out completely.

FERTILIZE… A well balanced fertilizer is sufficient, I have not found where bloom buster increases flower count.

INSECTS… I have not come across any problems with insects other than occasional scale on the Confederate Jasmine.

REPOT… All summer, although I have done the Asiatic Jasmine in winter with no harm.

SEASONAL… Cold hardy, leave out all year.