Scaling symmetries and canonoid transformations in Hamiltonian systems
Mathematical Physics
2023-06-28 v1 math.MP
Abstract
We investigate various types of symmetries and their mutual relationships in Hamiltonian systems defined on manifolds with different geometric structures: symplectic, cosymplectic, contact and cocontact. In each case we pay special attention to non-standard (non-canonical) symmetries, in particular scaling symmetries and canonoid transformations, as they provide new interesting tools for the qualitative study of these systems. Our main results are the characterizations of these non-standard symmetries and the analysis of their relation with conserved (or dissipated) quantities.
Keywords
Cite
@article{arxiv.2306.15108,
title = {Scaling symmetries and canonoid transformations in Hamiltonian systems},
author = {R. Azuaje and A. Bravetti},
journal= {arXiv preprint arXiv:2306.15108},
year = {2023}
}
Comments
22 pages. Comments are welcome