Sesión Aplicaciones de la Matemática y Física MatemáticaRevisiting the Reduction of Time-Dependent Hamiltonian Systems
Carla Benítez García
Universidad de La Laguna, España - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
In a recent paper [1], the reduction of mechanical presymplectic structures and its application to time-dependent Hamiltonian systems was introduced, addressing some of the limitations of the classical Albert reduction. In this talk, we will present this extended framework for reducing time-dependent Hamiltonian systems. The method combines cotangent bundle reduction with the reduction of presymplectic structures of corank 1 and 2. These results extend earlier work in the area [2]. Several examples will be discussed to illustrate the theory from this updated standpoint.
Trabajo en conjunto con: David Iglesias (Universidad de La Laguna), Juan Carlos Marrero (Universidad de La Laguna) y Edith Padrón (Universidad de La Laguna).
Referencias
[1] I. Gutierrez-Sagredo, D. Iglesias Ponte, J.C. Marrero, and E. Padrón. Mechanical presymplectic structures and marsden-weinstein reduction of time-dependent hamiltonian systems. Journal of Geometry and Physics, 213:105492, 2025.
[2] I. Lacirasella, J.C. Marrero, and E. Padrón. Reduction of symplectic principal R-bundles. J. Phys. A, 45(32):325202, 29, 2012.