Work

The integrability of the generalized Hamiltonian system

Year: 2024

Type: article

Abstract: 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.

Source: Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and Informatics

DOI: 10.60063/gsu.fmi.111.55-76

Author: Bogdana Georgieva

Institution: Sofia University "St. Kliment Ohridski"

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4405003013

FWCI:

Cites: 1

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Related to: 10