A set is positively invariant when every forward trajectory starting in it remains in it.
This is a dynamical example of an invariant; forward invariance and strict inward trapping are additional conditions.
A trapping region is a compact region across whose boundary the vector field points inward. It is positively invariant and confines every forward trajectory that enters it.
This is a dynamical example of an invariant; forward invariance and strict inward trapping are additional conditions.

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