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arxiv: 1510.00181 · v4 · pith:SDKERQL2new · submitted 2015-10-01 · 🌊 nlin.SI

The Hojman Construction and Hamiltonization of Nonholonomic Systems

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keywords constructionhojmanabsentanalyzedbracketscasecasimirdiffer
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In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.

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