Arnold–Liouville theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo completely integrable Hamiltonian systems
gptkbp:describes integrable systems
gptkbp:field gptkb:Hamiltonian_mechanics
symplectic geometry
https://www.w3.org/2000/01/rdf-schema#label Arnold–Liouville theorem
gptkbp:implies existence of invariant tori in phase space
gptkbp:namedAfter gptkb:Joseph_Liouville
gptkb:Vladimir_Arnold
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:state integrable Hamiltonian systems can be solved by action-angle coordinates
gptkbp:bfsParent gptkb:Vladimir_Arnold
gptkb:V.I._Arnold
gptkbp:bfsLayer 6