SWhat changed
Stated conditions for persistence of many invariant tori under sufficiently small analytic Hamiltonian perturbations.
Scientific scope
The record is Kolmogorov's sole-author four-page 1954 Doklady note. It does not absorb Arnold's and Moser's later proofs and extensions, every KAM theorem, resonant dynamics or applications outside the stated analytic Hamiltonian setting.
Evidence
The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Kolmogorov's sole-author four-page 1954 Doklady note. It does not absorb Arnold's and Moser's later proofs and extensions, every KAM theorem, resonant dynamics or applications outside the stated analytic Hamiltonian setting.
Contributors
- A. N. Kolmogorov · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
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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