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math-ph2006★ 6 cited
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…
math-ph2006
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…