Synonyms for Cock Of The Rock (same or very similar meaning)
WordNet sense 1 (bird of the Andes similar to Rupicola rupicola):
Rupicola peruvianaWordNet sense 2 (tropical bird of northern South America the male having brilliant red or orange plumage and an erectile disklike crest):
Rupicola rupicolaFrom the ODE community, based on WordNetadd/edit