Liouville–Arnold theorem
id:
liouville-arnold-theorem-175-18828426
title:
Liouville–Arnold theorem
text:
In dynamical systems theory, the Liouville–Arnold theorem states that if, in a Hamiltonian dynamical system with n degrees of freedom, there are also n independent,
Poisson commuting first integrals of motion, and the level sets of all first integrals are compact, 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
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Liouville%E2%80%93Arnold_theorem
date created:
2013-07-26T00:35:19Z
date modified:
2024-09-03T09:00:56Z
main entity:
{"identifier":"Q14943261","url":"https://www.wikidata.org/entity/Q14943261"}
image:
fields total:
13
integrity:
14