Hybrid Routhian reduction for simple hybrid forced Lagrangian systems

Abstract

This paper discusses Routh reduction for simple hybrid forced mechanical systems. We give general conditions on whether it is possible to perform symmetry reduction for a simple hybrid Lagrangian system subject to non-conservative external forces, emphasizing the case of case of cyclic coordinates. We illustrate the applicability of the symmetry reduction procedure with an example and numerical simulations.

arXiv commentSubmitted. arXiv admin note: substantial text overlap with arXiv:2112.02573, arXiv:2003.07484, arXiv:2001.08941

References in corpus (6)

• Routhian reduction for quasi-invariant Lagrangians
• Mechanical systems subjected to generalized nonholonomic constraints
• Symmetries and periodic orbits in simple hybrid Routhian systems
• Symmetries, constants of the motion and reduction of mechanical systems with external forces
• Routh Reduction by Stages
• Aspects of reduction and transformation of Lagrangian systems with symmetry

Cited by in corpus (1)

• Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions