Trapping region

In applied mathematics, a trapping region of a dynamical system is a region such that every trajectory that starts within the trapping region will move to the region's interior and remain there as the system evolves.

More precisely, given a dynamical system with flow ϕ t defined on the phase space D , a subset of the phase space N is a trapping region if it is compact and ϕ t ( N ) ⊂ i n t ( N ) for all t > 0 .