I don't think there's any sensible reason to suggest a relationship or similarity of pronunciation between the English Ayrton and the Russian
Artyom.
Ayrton is an English surname, and comes from the town named Airton, which is in the West Riding of Yorkshire, northern England.
http://www.behindthename.com/bb/arcview.php?id=48572&board=gen
♦ Chrisell ♦
All we have to decide is what to do with the time that is given us. - J.R.R. Tolkien.