Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
Mathematical Physics
2024-08-21 v2 Dynamical Systems
math.MP
Abstract
A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach by Clark, we develop a geometric Hamilton-Jacobi theory for forced and nonholonomic hybrid dynamical systems. We state the corresponding Hamilton-Jacobi equations for these classes of systems and apply our results to analyze some examples.
Keywords
Cite
@article{arxiv.2211.06252,
title = {Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems},
author = {Leonardo Colombo and Manuel de León and María Emma Eyrea Irazú and Asier López-Gordón},
journal= {arXiv preprint arXiv:2211.06252},
year = {2024}
}
Comments
31 pages, accepted for publication on Geometric Mechanics