Abstract
Nonautonomous Hamiltonian systems of one degree of freedom close to integrable ones are considered. Let ε be a positive parameter measuring the strength of the perturbation and denote by εc the critical value at which a given KAM (Kolmogorov–Arnold–Moser) torus breaks down. A computer-assisted method that allows one to give rigorous lower bounds for εc is presented. This method has been applied in Celletti–Falcolini–Porzio (to be published in Ann. Inst. H. Poincaré) to the Escande and Doveil pendulum yielding a bound which is within a factor 40.2 of the value indicated by numerical experiments.
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