23 citations · 116 across the 28 of their papers we have counts for
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math.DS2011
A geometrical proof of the persistence of normally hyperbolic submanifolds
Pierre Berger, Abed Bounemoura
We present a simple, computation free and geometrical proof of the following classical result: for a diffeomorphism of a manifold, any compact submanifold which is invariant and no…
math.DS2011★ 7 cited
Optimal stability and instability for near-linear Hamiltonians
Abed Bounemoura
In this paper, we will prove a very general result of stability for perturbations of linear integrable Hamiltonian systems, and we will construct an example of instability showing…