Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion

Jianlu Zhang; Ke Zhang

arxiv: 1701.06026 · v1 · pith:ZH7RKEPQnew · submitted 2017-01-21 · 🧮 math.DS

Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion

Jianlu Zhang , Ke Zhang This is my paper

classification 🧮 math.DS

keywords stabilityanalyticarnolddiffusionintegrablenearlyoptimalquasi-convex

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We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of Arnold diffusion.

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Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion

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