Add to ORKGAbstract. The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integrable Hamiltonian systems. These tori are quasi-periodic with Diophantine frequency vectors and their union is a nowhere dense set of positive measure in phase space. A long-standing question is to what extent the perturbed tori are unique. Using the fact that at the level of tori there exists a Whitney smooth conjugacy between the integrable approximation and its perturbation, we are able to prove this unicity. The unicity result is valid on a closed subset of the Diophantine torus union of full measure. 1
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing t...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangian tori by gluing to...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangian tori by gluing to...
Abstract. The classical KAM theorem establishes the persistence of invariant Lagrangean tori in near...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing t...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing t...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangian tori by gluing to...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangian tori by gluing to...
Abstract. The classical KAM theorem establishes the persistence of invariant Lagrangean tori in near...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem establishes the persistence of invariant Lagrangean tori in nearly integra...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
The classical KAM theorem deals with Lagrangean invariant tori in nearly integrable Hamiltonian syst...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing t...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing t...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangian tori by gluing to...
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangian tori by gluing to...