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 $\phi_t$ 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 $t > 0$ .

单词	Trapping region
释义	Trapping region 英语百科 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 $\phi_t$ 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 $t > 0$ .
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