- 99-260 F. Bonetto and G. Gentile
- On a conjecture for the critical behaviour of KAM tori
Jul 7, 99
(auto. generated ps),
of related papers
Abstract. At the light of recent results in literature we review
a conjecture formulated in Math. Phys. Electron. J.
1 (1995), paper 5, 1--13, about the mechanism
of breakdown of invariant sets in KAM problems and
the identification of the dominant terms in the perturbative
expansion of the conjugating function. We show that some
arguments developed therein can be carried out further only
in some particular directions, so limiting a possible future
research program, and that the mechanism of break
down of invariant tori has to be more complicated
than as conjectured in the quoted paper.