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20192026
most citedA KAM Theorem for finitely differentiable Hamiltonian systems

11 citations · 25 across the 8 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.DS2020★ 4 cited

V.I. Arnold's "Global" KAM Theorem and geometric measure estimates

L. Chierchia, C. E. Koudjinan

This paper continues the discussion started in [CK19] concerning Arnold's legacy on classical KAM theory and (some of) its modern developments. We prove a detailed and explicit `gl…

math.DS2020★ 2 cited

Rigorous numerics for critical orbits in the quadratic family

Ali Golmakani, Comlan Edmond Koudjinan, Stefano Luzzatto +1

We develop algorithms and techniques to compute rigorous bounds for finite pieces of orbits of the critical points, for intervals of parameter values, in the quadratic family of on…