Add to ORKGThe celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrable Hamiltonian system is revisited in the light of classical perturbation algorithm. It is shown that the original Kolmogorov's algorithm can be given the form of a constructive scheme based on expansion in a parameter. A careful analysis of the accumulation of the small divisors shows that it can be controlled geometrically. As a consequence, the proof of convergence is based essentially on Cauchy's majorant's method, with no use of the so called quadratic method. A short comparison with Lindstedt's series is included
Abstract. We give a simple proof of Kolmogorov’s theorem on the persistence of a quasiperiodic invar...
AbstractKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems...
In his ICM-54 lecture, Kolmogorov introduced a now fundamental result regarding the persistence of a...
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...
Abstract. The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrab...
AbstractKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems...
Kolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revi...
This paper gives a self contained proof of the perturbation theorem for invariant tori in Hamiltonia...
This paper gives a self contained proof of the perturbation theorem for invariant tori in Hamiltonia...
In this paper a proof is given of Kolmogorov\u2019s theorem on the existence of invariant tori in ne...
In this paper a proof is given of Kolmogorov's theorem on the existence of invariant tori in nearly ...
Abstract. We reconsider the original proof of Kolmogorov’s theorem in the light of classical perturb...
We give a simple proof of Kolmogorov's theorem on the persistence of a quasiperiodic invariant torus...
Abstract. We give a simple proof of Kolmogorov’s theorem on the persistence of a quasiperiodic invar...
AbstractKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems...
In his ICM-54 lecture, Kolmogorov introduced a now fundamental result regarding the persistence of a...
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...
Abstract. The celebrated theorem of Kolmogorov on persistence of invariant tori of a nearly integrab...
AbstractKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems...
Kolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revi...
This paper gives a self contained proof of the perturbation theorem for invariant tori in Hamiltonia...
This paper gives a self contained proof of the perturbation theorem for invariant tori in Hamiltonia...
In this paper a proof is given of Kolmogorov\u2019s theorem on the existence of invariant tori in ne...
In this paper a proof is given of Kolmogorov's theorem on the existence of invariant tori in nearly ...
Abstract. We reconsider the original proof of Kolmogorov’s theorem in the light of classical perturb...
We give a simple proof of Kolmogorov's theorem on the persistence of a quasiperiodic invariant torus...
Abstract. We give a simple proof of Kolmogorov’s theorem on the persistence of a quasiperiodic invar...
AbstractKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems...
In his ICM-54 lecture, Kolmogorov introduced a now fundamental result regarding the persistence of a...