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Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body

The classical Euler-Poisson equations describing the motion of a heavy rigid body about a fixed point are generalized to arbitrary Lie algebras as Hamiltonian systems on coad-joint orbits of a tangent bundle Lie group. the N-dimensional Lagrange and symmetric heavy top are thereby shown to be comple...

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Bibliografski detalji
Izdano u:Proc Natl Acad Sci U S A
Glavni autor: Ratiu, Tudor
Format: Artigo
Jezik:Inglês
Izdano: National Academy of Sciences 1981
Teme:
Online pristup:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC319122/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592990/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.78.3.1327
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