3 ms·
[Disclaimer: not an expert on ODE, so I don't really know what I'm talking about] I was just astonished by the title of the article, because it seemed to contr
by enriquto 3y ago
[Disclaimer: not an expert on ODE, so I don't really know what I'm talking about]
I was just astonished by the title of the article, because it seemed to contradict KAM. Yet, upon careful reading, you can interpret the title in that "a solar system model" is unstable, but not all of them. Which does not contradict KAM.
If I understand it well, KAM is compatible with the following two sentences: (1) the set of stable initial conditions is of volume 1 in phase space (2) the set of unstable initial conditions is dense in phase space. Like the rationals are dense inside the reals, but still most reals are irrational.
What is the case here? I'm not knowledgeable enough to read past the abstract of these publications.