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Moser: invariant curves of area-preserving annulus mappings

Contribution grade

Differential equations and dynamical systems · THEOREM

Reference score205,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved persistence of invariant curves under small smooth area-preserving annulus-map perturbations.

Scientific scope

The record is Moser's sole-author 1962 paper and its stated smooth twist-map hypotheses. It does not absorb Kolmogorov's 1954 theorem, Arnold's Hamiltonian extension, every KAM variant or applications outside those hypotheses.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Moser's sole-author 1962 paper and its stated smooth twist-map hypotheses. It does not absorb Kolmogorov's 1954 theorem, Arnold's Hamiltonian extension, every KAM variant or applications outside those hypotheses.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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