Synonyms for Stable (same or very similar meaning)
WordNet sense 1 (a farm building for housing horses or other livestock):
stalls, horse barn
WordNet sense 2 (lasting a long time without change):
lasting
WordNet sense 3 (not liable to fluctuate or especially to fall):
firm, steady
WordNet sense 4 (financially secure and safe):
sound
WordNet sense 5 (not reacting chemically):
unreactive
WordNet sense 6 (being in a state of proper balance or equilibrium):
balanced
WordNet sense 7 (showing little if any change):
static, unchanging
From the ODE community, based on WordNet
add/edit