23 citations · 116 across the 28 of their papers we have counts for
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math.DS2014
Non-degenerate Liouville tori are KAM stable
Abed Bounemoura
In this short note, we prove that a quasi-periodic torus, with a non-resonant frequency (that can be Diophantine or Liouville) and which is invariant by a sufficiently regular Hami…
math.DS2014★ 10 cited
The classical KAM theorem for Hamiltonian systems via rational approximations
Abed Bounemoura, Stephane Fischler
In this paper, we give a new proof of the classical KAM theorem on the persistence of an invariant quasi-periodic torus, whose frequency vector satisfies the Bruno-Rüssmann conditi…