Luke 19:8-9 and Acts 19:18-19 both show the distinct Old Testament pattern of open, public confession and repentance:
Lk. 19:8-9--"But Zacchaeus stood up and said to the Lord, 'Look Lord! Here and now I give half of my possessions to the poor, and if I have cheated anybody out of anything, I will pay back four times the amount.' Jesus said to him, 'Today salvation has come to this house, because this man, too, is a son of Abraham."
Source: Dr. Gary S. Greig - The Biblical Foundations of Identificational Repentance as One Prayer Pattern Useful to Advance God's Kingdom and Evangelism, April 2001