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math.DS2013
Effective stability for slow time-dependent near-integrable Hamiltonians and application
Abed Bounemoura
The aim of this note is to prove a result of effective stability for a non-autonomous perturbation of an integrable Hamiltonian system, provided that the perturbation depends slowl…
math.DS2013
The KAM theorem through Dirichlet's box and Khintchine's transference principles
Abed Bounemoura
In this paper, we give a new proof of the classical KAM theorem which avoids small divisors and relies on two basic principles of Diophantine approximation: Dirichlet's box and Khi…