Year: 2008
Type: article
Abstract: Variational calculus on a vector bundle E equipped with a structure of a general algebroid is developed, together with the corresponding analogs of Euler–Lagrange equations. Constrained systems are introduced in the variational and geometrical settings. The constrained Euler–Lagrange equations are derived for analogs of holonomic, vakonomic and nonholonomic constraints. This general model covers the majority of first-order Lagrangian systems which are present in the literature and reduces to the standard variational calculus and the Euler–Lagrange equations in classical mechanics for E = TM .
Authors: Katarzyna Grabowska, Janusz Grabowski
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2164799419