Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems

Autor:	Colombo, Leonardo, de León, Manuel, Irazú, María Emma Eyrea, López-Gordón, Asier
Rok vydání:	2022
Předmět:	Mathematical Physics Mathematics - Dynamical Systems 53Z05 70F35 70F40 70H20 93C30
Zdroj:	Geom. Mech. 01 (02), July 2024
Druh dokumentu:	Working Paper
DOI:	10.1142/S2972458924500059
Popis:	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. Comment: 31 pages, accepted for publication on Geometric Mechanics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.06252 Zobrazit plný text záznamu View this record from Arxiv