Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hamiltonian_systems
nearly integrable systems |
| gptkbp:describes |
persistence of quasi-periodic motions
|
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| gptkbp:fullName |
gptkb:Kolmogorov–Arnold–Moser_theorem
|
| gptkbp:hasApplication |
celestial mechanics
|
| gptkbp:influenced |
modern dynamical systems theory
|
| gptkbp:influencedBy |
gptkb:classical_mechanics
|
| gptkbp:namedAfter |
gptkb:Jürgen_Moser
gptkb:Vladimir_Arnold gptkb:Andrey_Kolmogorov |
| gptkbp:publishedIn |
gptkb:Doklady_Akademii_Nauk_SSSR
|
| gptkbp:relatedTo |
chaos theory
nonlinear dynamics action-angle variables |
| gptkbp:significance |
explains stability in planetary motion
|
| gptkbp:state |
most invariant tori of integrable systems persist under small perturbations
|
| gptkbp:yearProposed |
1954
|
| gptkbp:bfsParent |
gptkb:Kolmogorov–Arnold–Moser_theorem
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
KAM theorem
|