Emulate

(v. t.) To strive to equal or to surpass in qualities or actions; to imitate, with a view to equal or to outdo, to vie with; to rival; as, to emulate the good and the great.

Thesaurus Entries

challenge, challenge comparison, compete, compete with, cope, copy after, equal, follow, follow like sheep, follow suit, jockey, meet, model after, outvie, pattern after, rival, take after, test one another, vie, vie with