Trapping region

Template:One source 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 ${\varphi }_t$ defined on the phase space $D$, a subset of the phase space $N$ is a trapping region if it is compact and ${\varphi }_t(N)\subset \mathrm{i}\mathrm{n}\mathrm{t}(N)$ for all $t>0$.

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