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chao-dyn1993★ 2 cited
Non recursive proof of the KAM theorem
Giovanni Gallavotti, Guido Gentile
A selfcontained proof of the KAM theorem in the Thirring model is discussed, completely relaxing the ``strong diophantine property'' hypothesis used in previous papers. Keywords: \…
chao-dyn1993★ 144 cited
Twistless KAM tori
Giovanni Gallavotti
A selfcontained proof of the KAM theorem in the Thirring model is discussed.
chao-dyn1993★ 118 cited
Twistless KAM tori, quasi flat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable hamiltonian systems. A review
Giovanni Gallavotti
Rotators interacting with a pendulum via small, velocity independent, potentials are considered. If the interaction potential does not depend on the pendulum position then the pend…