مشخصات پژوهش

A Lie system is a non-autonomous system of ODEs possessing a superposition rule. This denition entails that a Lie system amounts to a t-dependent vector eld taking values in a nite-dimensional real Lie algebra of vector elds, a so-called Vessiot-Guldberg Lie algebra of the system. This work concerns the denition and analysis of a new class of Lie systems on Jacobi manifolds enjoy- ing rich geometric features: the Jacobi-Lie Systems. We devise methods to study their time independent constants of motion and Lie symmetries. Our results are illustrated by example on real three-dimensional Lie group IV.