45 citations · 206 across the 10 of their papers we have counts for
5 papers · 2 filters
On persistence of invariant tori and a theorem by Nekhoroshev
Dario Bambusi, Giuseppe Gaeta
We give a proof of a theorem by N.N. Nekhoroshev concerning Hamiltonian systems with degrees of freedom and integrals of motion in involution, where . Such a…
Poincare' normal and renormalized forms
G. Gaeta
We briefly review the main aspects of (Poincaré-Dulac) normal forms; we have a look at the non-uniqueness problem, and discuss one of the proposed ways to ``further reduce'' the no…
Linear Lie algebras with finite dimensional centralizers
G. Gaeta, S. Walcher
We give criteria for finite dimensionality or infinite dimensionality of the polynomial centralizer of the Lie algebra of a linear Lie group, in terms of invariants and relative in…
Algorithmic reduction of Poincare'-Dulac normal forms and Lie algebraic structure
G. Gaeta
The Poincare'-Dulac normal form of a given resonant system is in general non unique; given a specific normal form, one would like to further reduce it to a simplest normal form. In…
Poincare' and Lie renormalized forms for regular singular points of vector fields in the plane
Giuseppe Gaeta
We discuss the local behaviour of vector fields in the plane around a regular singular point, using recently introduced reduced normal forms, i.e. Poincaré and Lie renormali…