6 citations · 6 across the 2 of their papers we have counts for
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The Poincare'-Lyapounov-Nekhoroshev theorem for involutory systems of vector fields
G. Gaeta
We extend the Poincare'-Lyapounov-Nekhoroshev theorem from torus actions and invariant tori to general (non-abelian) involutory systems of vector fields and general invariant manif…
Asymptotic scaling symmetries for nonlinear PDEs
G. Gaeta, R. Mancinelli
In some cases, solutions to nonlinear PDEs happen to be asymptotically (for large and/or ) invariant under a group which is not a symmetry of the equation. After recalli…
On the geometry of lambda-symmetries, and PDEs reduction
G. Gaeta, P. Morando
We give a geometrical characterization of -prolongations of vector fields, and hence of -symmetries of ODEs. This allows an extension to the case of PDEs and systems of PDEs;…
Lie-Poincare' transformations and a reduction criterion in Landau theory
G. Gaeta
In the Landau theory of phase transitions one considers an effective potential whose symmetry group and degree depend on the system under consideration; generally speak…