57 citations · 111 across the 6 of their papers we have counts for
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math.DS2017★ 6 cited
Improved convergence estimates for the Schröder-Siegel problem
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We reconsider the Schröder-Siegel problem of conjugating an analytic map in in the neighborhood of a fixed point to its linear part, extending it to the case of dimens…
math.DS2013★ 1 cited
On a theorem of Lyapounov
Antonio Giorgilli
It is shown that a Hamiltonian system in the neighbourhood of an equilibrium may be given a special normal form in case the eigenvalues of the linearized system satisfy non--resona…
math.DS2012★ 4 cited
On the representation of maps by Lie transforms
Antonio Giorgilli
The problem of representing a class of maps in a form suited for application of normal form methods is revisited. It is shown that using the methods of Lie series and of Lie transf…