Abstract: In this talk the results of my student research project will be
presented. Following the results of my bachelor's thesis, namely discovery
of explicitly time dependent constants of motion (CoMs) in some conservative
superintegrable systems, the project focuses on their meaning and
utilization. In the talk, I will briefly review geometrical formulation
of time dependent Hamiltonian mechanics and subsequently look in detail on
three systems exhibiting time dependent CoMs, namely non–isotropic harmonic
oscillator and two systems from A. Marchesiello, L. Šnobl, J. Phys. A: Math.
Theor. 50, 245202 (2017).