Most use motion sensing, but not all. Virtually all can be adjusted to take timed shots in intervals from 1-30 minutes. I have two different ones I use around the ranch for predator intervention and amusement. I was having some repeated fence cutting vandalism and was able to catch the kids who were doing it trespassing on a remote part of the property where the dogs don't normally go. Their parents were not amused with the pics.
A Moultrie I got at WalMart for under 60 bucks and an HCO I bought on Optics Planet for about twice as much. The HCO takes slightly better definition photos but is otherwise not worth twice the price. Both are motion sensing.
I think once you get past about 80-100 bucks on these cameras you have reached the point of diminishing return on your expenditure.

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84 Euro 240D 4spd. 220.5k sold
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