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We revisit the famous Nos\'e-Hoover system in this paper and show theexistence of some averagely conservative regions which are filled with aninfinite sequence of nested tori. Depending on initial conditions, someinvariant tori are of trefoil knot type, while the others are of trivial knottype. Moreover, we present a variety of interlinked invariant tori whoseinitial conditions are chosen from different averagely conservative regions andgive all the interlinking numbers of those interlinked tori, showing that thisquadratic system possesses so rich dynamic properties.

The invariant tori of knot type and the interlinked invariant tori in the Nos\'e-Hoover system