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- Liouville–Arnold_theorem abstract "In dynamical systems theory, the Liouville–Arnold theorem states that if, in a Hamiltonian dynamical system with n degrees of freedom, there are also known n first integrals of motion that are independent and in involution, then there exists a canonical transformation to action-angle coordinates in which the transformed Hamiltonian is dependent only upon the action coordinates and the angle coordinates evolve linearly in time. Thus the equations of motion for the system can be solved in quadratures if the canonical transform is explicitly known. The theorem is named after Joseph Liouville and Vladimir Arnold.".
- Liouville–Arnold_theorem wikiPageID "40071018".
- Liouville–Arnold_theorem wikiPageLength "2073".
- Liouville–Arnold_theorem wikiPageOutDegree "12".
- Liouville–Arnold_theorem wikiPageRevisionID "669145232".
- Liouville–Arnold_theorem wikiPageWikiLink Action-angle_coordinates.
- Liouville–Arnold_theorem wikiPageWikiLink Canonical_transformation.
- Liouville–Arnold_theorem wikiPageWikiLink Category:Hamiltonian_mechanics.
- Liouville–Arnold_theorem wikiPageWikiLink Category:Theorems_in_dynamical_systems.
- Liouville–Arnold_theorem wikiPageWikiLink Constant_of_motion.
- Liouville–Arnold_theorem wikiPageWikiLink Degrees_of_freedom_(mechanics).
- Liouville–Arnold_theorem wikiPageWikiLink Dynamical_system.
- Liouville–Arnold_theorem wikiPageWikiLink Hamiltonian_system.
- Liouville–Arnold_theorem wikiPageWikiLink Involution_(mathematics).
- Liouville–Arnold_theorem wikiPageWikiLink Joseph_Liouville.
- Liouville–Arnold_theorem wikiPageWikiLink Quadrature_(mathematics).
- Liouville–Arnold_theorem wikiPageWikiLink Vladimir_Arnold.
- Liouville–Arnold_theorem wikiPageWikiLinkText "Liouville–Arnold theorem".
- Liouville–Arnold_theorem wikiPageUsesTemplate Template:Mech-engineering-stub.
- Liouville–Arnold_theorem wikiPageUsesTemplate Template:Physics-stub.
- Liouville–Arnold_theorem wikiPageUsesTemplate Template:Reflist.
- Liouville–Arnold_theorem wikiPageUsesTemplate Template:Rp.
- Liouville–Arnold_theorem subject Category:Hamiltonian_mechanics.
- Liouville–Arnold_theorem subject Category:Theorems_in_dynamical_systems.
- Liouville–Arnold_theorem comment "In dynamical systems theory, the Liouville–Arnold theorem states that if, in a Hamiltonian dynamical system with n degrees of freedom, there are also known n first integrals of motion that are independent and in involution, then there exists a canonical transformation to action-angle coordinates in which the transformed Hamiltonian is dependent only upon the action coordinates and the angle coordinates evolve linearly in time.".
- Liouville–Arnold_theorem label "Liouville–Arnold theorem".
- Liouville–Arnold_theorem sameAs Q14943261.
- Liouville–Arnold_theorem sameAs Thxc3xa9orxc3xa8me_dArnold-Liouville-Mineur.
- Liouville–Arnold_theorem sameAs Teorema_di_Liouville-Arnold.
- Liouville–Arnold_theorem sameAs リウヴィル=アーノルドの定理.
- Liouville–Arnold_theorem sameAs Teorema_de_Liouville–Arnold.
- Liouville–Arnold_theorem sameAs m.0wf_mzd.
- Liouville–Arnold_theorem sameAs Q14943261.
- Liouville–Arnold_theorem wasDerivedFrom Liouville–Arnold_theorem?oldid=669145232.
- Liouville–Arnold_theorem isPrimaryTopicOf Liouville–Arnold_theorem.