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arXiv · 2204.13523

Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics

D. Iglesias Ponte·J. C. Marrero·E. Padrón
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Abstract

In this paper, we present a relation between Jacobi-Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a linear Poisson structure on a vector bundle. For this purpose, we will use the so-called Jacobi bundle metrics induced by the mechanical Hamiltonian system. These constructions extend classical results on the relation between standard mechanical Hamiltonian systems on cotangent bundles and Reeb dynamics.

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D. Iglesias Ponte, J. C. Marrero, E. Padrón. 2022-12-21. Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics. https://doi.org/10.1007/s13324-022-00771-w

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