What is a trapping region? This is probably a relatively straight-forward question but I haven't been to source for a simple enough to understand illustration of a trapping region and bounded trapping region. Definition: > A trapping region of any dynamic system is a region such that every trajectory that begins in the trapping region will eventually remain in the region's interior for all forward time $t\geq 0$. Trapping region Wiki Would someone kindly provide an easy to understand illustration?

Without having seen the definition, a bounded trapping region is probably just a trapping region which is bounded. As for a simple illustration, take the system of a ball rolling on uneven ground. The ball will obviously tend to roll downhill. If there is a hole or a ditch, or anything else vaguely bowl-shaped in the ground, and the ball starts within, then it will never roll out of that hole, which makes the hole a trapping region.