Generic analytic Arnold diffusion in a priori stable systems
TheoremDB P3110 · dynamical systems
Inferred from the community field; finer classification has not been reviewed.
Problem statement
For a real-analytic steep integrable Hamiltonian with at least three degrees of freedom, is Arnold diffusion present for a generic sufficiently small real-analytic perturbation , in the sense that some orbit changes its action by an amount independent of ?
Lean 4
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Progress & source assessment
Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.
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