I just don't understand what anode rays are, how they are made or where they come from.. Any help will be greatly appreciated. The Wikipedia article is a stub and many others simply state that anode rays "occur".

How can we reply to your question if the Wikipedia article is a stub and no other information is available?

by using knowledge outside wikipedia.

 

anode rays are protons(although other positively charged ions could be used) the anode provides the ionization and the ions are accelerated towards the cathode electrostatically as in a cathode ray tube.

 

basically, you reverse the polarity of a CRT and replace the electrons with protons.

 

also, the antimatter counterpart of a CRT would also be classed as an ART as positrons carry a positive charge.

Right. Cathodes give you negative charges. Anodes will give you positive ones. It's a lot easier to free up electrons, which is probably why there isn't much discussion on ARTs.