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: Rotators interacting with a pendulum via small, velocity independent, potentials are considered:the invariant tori with diophantine rotation numbers are unstable and have stable and unstable manifolds(&quot;whiskers&quot;), whose intersections define a set of homoclinic points. The homoclinic splitting can be introducedas a measure of the splitting of the stable and unstable manifolds near to any homoclinic point. Ina previous paper, [G1], cancellation mechanisms in the perturbative series of the...

A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems