16 citations · 19 across the 3 of their papers we have counts for
8 papers
Symmetry of stochastic equations
Giuseppe Gaeta
Symmetry methods are by now recognized as one of the main tools to attack deterministic differential equations (both ODEs and PDEs); the situation is quite different for what conce…
Maximal degree variational principles
G. Gaeta, P. Morando
Let be smooth -dimensional manifold, fibered over a -dimensional submanifold as , and ; one can consider the functional on sections…
The Poincare'-Nekhoroshev map
Giuseppe Gaeta
We study a generalization of the familiar Poincaré map, first implicitely introduced by N.N. Nekhoroshev in his study of persistence of invariant tori in hamiltonian systems, and d…
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…