Most DeviantArt features are available through RSS feed. For how to create RSS in DeviantArt, you can read the official instructions for example in "How do I use RSS Feeds?" or "Access deviations with RSS feeds". But even so, I managed to run into problem of creating RSS Feeds. I found two solutions for how to form a tape:

https://backend.deviantart.com/rss.xml?type=deviation&q=[name]+sort%3Atime+meta%3Aall

For example https://backend.deviantart.com/rss.xml?type=deviation&q=zeon-in-a-tree+sort%3Atime+meta%3Aall

This method does not work with all profiles and for some profiles this method does not work.

https://backend.deviantart.com/rss.xml?q=gallery:[name]

For example https://backend.deviantart.com/rss.xml?q=gallery:zeon-in-a-tree

Also in this repository I found how to access a specific gallery.

For example https://backend.deviantart.com/rss.xml?q=gallery:[deviant name]/[gallery]