What is recorded here?
Formulated conditions under which many invariant tori and their conditionally periodic motions persist after a sufficiently small perturbation of a nondegenerate integrable Hamiltonian system.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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People and systems
A. N. Kolmogorov
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Documented countries / regions: Russia
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English catalogue narrative
Kolmogorov: persistence of conditionally periodic motions
Formulated conditions under which many invariant tori and their conditionally periodic motions persist after a sufficiently small perturbation of a nondegenerate integrable Hamiltonian system.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
A. N. Kolmogorov
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.