Last weekend while doing my hour of going around the pattern in
preparation to solo my airfield was visited by a Dyke Delta home built
(link to a picture of one below.) I did a little research on it and
learned that it truly is a delta wing aircraft with a single
horizontal surface (some of these have a small T-tail but this one did
not.) Seeing it made me a little curious about the mechanics of
flying it. It has a vertical stabilizer and a rudder so I assume the
plane has pedals but with only one horizontal surface the movable
parts serve as both elevators and ailerons. I'm also guessing that it
doesn't have flaps, just as the main wings on canards don't have flaps
as additional lift that far aft would result in a rapid descent.

Does anyone have any kind of experience with an aircraft like this
that can enlighten me on their flight characteristics?

http://www.pilotfriend.com/experimental/images5/10.jpg