Abed Bounemoura

activity

20092021

most citedEffective stability for Gevrey and finitely differentiable prevalent Hamiltonians

23 citations · 116 across the 28 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.DS2018

Positive measure of KAM tori for finitely differentiable Hamiltonians

Abed Bounemoura

Consider an integer $n \geq 2$ and real numbers $τ > n - 1$ and $l > 2 (τ + 1)$ . Using ideas of Moser, Salamon proved that individual Diophantine tori persist for Hamiltonian systems which…

math.DS2018

Some remarks on the optimality of the Bruno-R{ü}ssmann condition

Abed Bounemoura

We prove that the Bruno-R{ü}ssmann condition is optimal for the analytic preservation of a quasi-periodic invariant curve for an analytic twist map. The proof is based on Yoccoz's…