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

Autor: Iglesias Ponte, D., Marrero, J. C., Padrón, E.
Zdroj: Analysis & Mathematical Physics; Feb2023, Vol. 13 Issue 1, p1-23, 23p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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