41 citations · 164 across the 26 of their papers we have counts for
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math-ph2013★ 4 cited
Convergence of normal form transformations: The role of symmetries
G. Cicogna, S. Walcher
We discuss the convergence problem for coordinate transformations which take a given vector field into Poincaré-Dulac normal form. We show that the presence of linear or nonlinear…
math-ph2013★ 9 cited
Dynamical systems and σ-symmetries
Giampaolo Cicogna, Giuseppe Gaeta, Sebastian Walcher
A deformation of the standard prolongation operation, defined on sets of vector fields in involution rather than on single ones, was recently introduced and christened "σ-prolongat…