There are three ways in which the age of Pericles and the Pax Romana of Augustus were similar.
1. Both ages experienced a renaissance in literature and arts. On the Greek side, Pericles and his regime viewed themselves as a school for the other Greek states. And on the Roman side, the Augustan age produced notable authors such as Vergil and Horace.
2. Both ages were an age of great building. For example Pericles did extensive work on the Acropolis and Augustus in the Res Gestae states that restored or built no less than 82 temples.
3. Both ages were a time of expansion. The Athenians took over the Delian league and Octavian (Augustus) defeated Antony and Celopatra at Actium in 31 BC.
As for longevity, The Augustan age or the Pax Romana lasted much longer. Pericles' world was cut short by the Peloponnesian War.