There is more than one meaning of Arcadius discussed in the 1911 Encyclopedia.
His address to Arcadius (De regno) is full of advice as to the studies of a wise ruler in such perilous times.
The Aegyptus sive de providentia is an allegory in which the good Osiris and the evil Typhon, who represent Aurelian and the Goth Gainas (ministers under Arcadius), strive for mastery; and the question of the divine permission of evil is handled.
His extant works are - (i) a speech before Arcadius, De regno; (2) Dio, sive de suo ipsius instituto, in which he signifies his purpose to devote himself to true philosophy; (3) Encomium calvitii (he was himself bald), a literary jeu d'esprit, suggested by Dio Chrysostom's Praise of Hair; (4) De providentia, in two books; (5) De insomniis; (6) 157 Epistolae; (7) 12 Hymni, of a contemplative, Neoplatonic character; and several homilies and occasional speeches.
(401-450) succeeded his father Arcadius as emperor of the East in 408.