2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229166In this paper we discuss the relation between the unimodularity of a Lie algebroid $τ_{A}: A\to Q$ and the existence of invariant volume forms for the hamiltonian dynamics on the dual bundle $A^{*}$. The results obtained in this direction are applied to several hamiltonian systems on different examples of Lie algebroids.16 pagesMathematical Physics17B66; 53D17; 70G45; 70G65; 70H05Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumestext