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arXiv · 1806.06265

A Summary on Symmetries and Conserved Quantities of Autonomous Hamiltonian Systems,

N. Román-Roy
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Abstract

A complete geometric classification of symmetries of autonomous Hamiltonian mechanical systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known results and properties about the symmetries of the Hamiltonian and of the symplectic form and then some new kinds of non-symplectic symmetries and their conserved quantities are introduced and studied.

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N. Román-Roy. 2018-06-16. A Summary on Symmetries and Conserved Quantities of Autonomous Hamiltonian Systems,. https://doi.org/10.3934/jgm.2020009

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