The integrability of the generalized Hamiltonian system
This paper reviews the generalized Hamiltonian system and its connection to contact transformations. The generalized Hamiltonian system is related to Herglotz variational principle in the same way in which the Hamiltonian system is related to the classical variational principle. We prove a criterion for the integrability of the generalized Hamiltonian system in terms of a complete set of first integrals, and a method of generating such first integrals. These results are due to Gustav Herglotz.
Authors
- Bogdana Georgieva (ORCID: https://orcid.org/0000-0001-9988-9820)
Publication Details
- Journal
- Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and Informatics
- Published
- 2024-12-04
- DOI
- https://doi.org/10.60063/gsu.fmi.111.55-76
- Primary Topic
- Elasticity and Wave Propagation
- Type
- article
- Field-Weighted Citation Impact
- 0.00