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- Q14943261 subject Q11157523.
- Q14943261 subject Q7464082.
- Q14943261 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.".
- Q14943261 wikiPageWikiLink Q1000646.
- Q14943261 wikiPageWikiLink Q11157523.
- Q14943261 wikiPageWikiLink Q1366892.
- Q14943261 wikiPageWikiLink Q157642.
- Q14943261 wikiPageWikiLink Q2072471.
- Q14943261 wikiPageWikiLink Q214549.
- Q14943261 wikiPageWikiLink Q2480745.
- Q14943261 wikiPageWikiLink Q576422.
- Q14943261 wikiPageWikiLink Q638328.
- Q14943261 wikiPageWikiLink Q647631.
- Q14943261 wikiPageWikiLink Q7464082.
- Q14943261 wikiPageWikiLink Q846862.
- Q14943261 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.".
- Q14943261 label "Liouville–Arnold theorem".