Geometric Hamilton-Jacobi theory for systems with external forces
Journal of Mathematical Physics, ISSN: 0022-2488, Vol: 63, Issue: 2
2022
- 5Citations
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Article Description
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 Caplygin system to the Hamilton-Jacobi problem for a forced Lagrangian system.
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