Geometric Hamilton–Jacobi theory for systems with external forces

In this paper, we develop a Hamilton–Jacobi theory for forced Hamiltonian and Lagrangian systems. We study the complete solutions, particularize for Rayleigh systems, and present some examples. Additionally, we present a method for the reduction and reconstruction of the Hamilton–Jacobi problem for...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2022-02, Vol.63 (2)
Main Authors: de León, Manuel, Lainz, Manuel, López-Gordón, Asier
Format: Article
Language:English
Subjects:
Hamiltonian functions
Physics
Reduction
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we develop a Hamilton–Jacobi theory for forced Hamiltonian and Lagrangian systems. We study the complete solutions, particularize for Rayleigh systems, and present some examples. Additionally, we present a method for the reduction and reconstruction of the Hamilton–Jacobi problem for forced Hamiltonian systems with symmetry. Furthermore, we consider the reduction of the Hamilton–Jacobi problem for a Čaplygin system to the Hamilton–Jacobi problem for a forced Lagrangian system.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0073214