"what is the stump jump feature on the brush hog,"
If you flipped the brush hog (rotary cutter is the correct name) over, you'd see two pivoting blades and a large pan shaped stamping. The pan shaped stamping is the stump jumper.
If you run over a stump or something else the cutter can't pulverize, the blades will pivot back an the pan will ride over the obstruction.
These work very well (thank goodness!!). There will be a heck of a racket when you run over something big enough to bring the stump jumper into play. Rotary cutters are pretty noisy anyway.
If you've never operated a tractor with a cutter, there are some safety precautions you want to know about:
1) if you don't know what's under the brush, try to walk the area first and remove or mark any larger stumps, rocks, ruts and holes.
2) I don't know if that Kioti CK20 has a live or non-live PTO. Hopefully, you've got the owner's manuals... READ THEM BEFORE OPERATING THE TRACTOR OR USING THAT CUTTER! . If you have a non-live PTO, you'll want an over-running clutch. Either way, engage the PTO at a lower RPM (1200 or so) and feather the throttle if it starts to stall the tractor. Once the cutter blades extend (you'll hear a load thump when they do), increase your RPM to PTO speed.
3) Go SLOW the first time you cut. If your tractor has a loader, keep the bucket low to "find" any obstructions before you run over them.
4) Brush cutters throw a lot of debris. Hopefully, your cutter has guards of some sort around the skirt. Regardless, this is a one operator job, so keep everyone else at a safe distance.
5) Wear that seat belt!
6) I made a deal with the wife...I don't operate the cutter without her being home. She's not nearby, but can hear the tractor/cutter when I'm operating it. I also carry my cell phone...just in case.
I'm sure other TBNer's will chime in with more info. I hope some of the Kioti owners can give you more info then I could.
Good luck with your new tractor! Be SAFE!