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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
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
KAM theorem
|
|
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:Restricted_three-body_problem
gptkb:Kolmogorov–Arnold–Moser_theorem
gptkb:Hamiltonian_systems
gptkb:V.I._Arnold
|
|
gptkbp:bfsLayer
|
6
|