Trapping region

From Wikipedia, the free encyclopedia
Jump to: navigation, search

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 defined on the phase space , a subset of the phase space is a trapping region if it is compact and for all .[1]


  1. ^ Meiss, J. D., Differential dynamical systems, Philadelphia: Society for Industrial and Applied Mathematics, 2007.