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arxiv: 1004.1462 · v1 · pith:CYDXQUVJnew · submitted 2010-04-09 · 🧮 math.DS

Improved exponential stability for near-integrable quasi-convex Hamiltonians

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keywords exponentialquasi-convexstabilityanalyticarnoldarticlebelievebound
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In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper upper bound on the speed of Arnold diffusion which we believe to be optimal.

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