Trapping region explained

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.

\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 int (N) for all t > 0 .^[1]

Notes and References

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