We reconsider the original proof of Kolmogorov's theorem in the light of classical perturbation methods based on expansions in some parameter. With a careful analysis of the accumulation of small divisors we prove that their effect is bounded by a geometrically increasing numerical sequence. This allows us to achieve the proof without using the so called quadratic method
Abstract. The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrab...
We revisit some results of perturbation theories by a method of successive elimination of harmonics ...
Abstract. We revisit some results of perturbation theories by a method of successive elimina-tion of...
We reconsider the original proof of Kolmogorov's theorem in the light of classical perturbation met...
We reconsider the original proof of Kolmogorov's theorem in the light of classical perturbation met...
Abstract. We reconsider the original proof of Kolmogorov’s theorem in the light of classical perturb...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
At the beginning of the second volume of his Méthodes nouvelles de la Mécanique Céleste Poincare ...
Abstract. The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrab...
We revisit some results of perturbation theories by a method of successive elimination of harmonics ...
Abstract. We revisit some results of perturbation theories by a method of successive elimina-tion of...
We reconsider the original proof of Kolmogorov's theorem in the light of classical perturbation met...
We reconsider the original proof of Kolmogorov's theorem in the light of classical perturbation met...
Abstract. We reconsider the original proof of Kolmogorov’s theorem in the light of classical perturb...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamilt...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
These lectures are devoted to the main results of classical perturbation theory. We start by recal...
At the beginning of the second volume of his Méthodes nouvelles de la Mécanique Céleste Poincare ...
Abstract. The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrab...
We revisit some results of perturbation theories by a method of successive elimination of harmonics ...
Abstract. We revisit some results of perturbation theories by a method of successive elimina-tion of...
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