Year: 2025
Type: article
Abstract: Maupertuis's variational principle is discussed for Lagrangian systems with Lagrangian which is linear in generalized velocities. In particular, this includes Hamiltonian systems in the Poincaré-Helmholtz representation. Our approach allows us to indicate a new variational principle for systems whose Lagrangians are degenerate in velocities. In its derivation we use Dirac's generalized Hamiltonian formalism. Bibliography: 15 titles.
Source: Sbornik Mathematics
DOI: 10.4213/sm10185e
Author: Valery Vasil'evich Kozlov
Institution: Steklov Mathematical Institute
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4413075736