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- Title
Scaling symmetries and canonoid transformations in Hamiltonian systems.
- Authors
Azuaje, R.; Bravetti, A.
- Abstract
In this paper, 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.
- Subjects
NONSTANDARD mathematical analysis; SYMMETRY; HAMILTONIAN systems; NOETHER'S theorem
- Publication
International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 4, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887824500774