CANTORI FOR SYMPLECTIC MAPS NEAR THE ANTI-INTEGRABLE LIMIT

We prove the existence of 'cantori' of all incommensurate rotation vectors, for symplectic maps of arbitrary dimension near enough to any non-degenerate anti-integrable limit, and derive an asymptotic form for them. Cantori are invariant Cantor sets which can be though of as remnants of KAM tori.