Symplectic and Cosymplectic Reduction for simple hybrid forced mechanical systems with symmetries

Abstract

This paper discusses symplectic and cosymplectic reduction for autonomous and non-autonomous simple hybrid forced mechanical systems, respectively. We give general conditions on whether it is possible to perform symmetry reduction for simple hybrid Hamiltonian and Lagrangian systems subject to non-conservative external forces, as well as time-dependent external forces. We illustrate the applicability of the symmetry reduction procedure with an example and numerical simulations.