Trapping region

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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 \phi_t defined on the phase space D, a subset of the phase space N is a trapping region if it is compact and \phi_t(N) \subset \mathrm{int}(N) for all t > 0.[1]


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