When I read this article initially, I got the impression that here "stable" actually means that it's not sensitive to small perturbations - the orbital pattern

When I read this article initially, I got the impression that here "stable" actually means that it's not sensitive to small perturbations - the orbital pattern is a local attactor and is thus sort of "self-correcting", at least over some non-trivial timespan. Someone can correct me if I'm wrong about that (in which case this whole exercise is somewhat silly).