Frobenius Integrability (overdetermined Differential Systems)
A differential system is said to be completely integrable in the Frobenius sense if the space on which it is defined has a foliation by maximal integral manifolds. The Frobenius theorem states that a system is completely integrable if and only if it generates an ideal that is closed under exterior differentation. (See the article on integrability conditions for differential systems for a detailed discussion of foliations by maximal integral manifolds.)
Read more about this topic: Integrable System
Famous quotes containing the word differential:
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (18961948)