A hybrid framework unifies Noether's theorem across Lagrangian and Hamiltonian mechanics by deriving conserved integrals from equations of motion alone and determining complete symmetry groups for Liouville integrable systems.
Noether, Invariante Variationsprobleme, Nachrichten von der Gesellschaft der Wissenschaften zu G¨ ottingen
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A hybrid Lagrangian-Hamiltonian framework and its application to conserved integrals and symmetry groups
A hybrid framework unifies Noether's theorem across Lagrangian and Hamiltonian mechanics by deriving conserved integrals from equations of motion alone and determining complete symmetry groups for Liouville integrable systems.