3 papers
math.DG2026
Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal -bundles
C. Benítez, D. Iglesias Ponte, J. C. Marrero +1
The reduction of mechanical presymplectic structures and its application to the reduction of time-dependent Hamiltonian systems were developed in a recent paper (Gutiérrez Sagredo…
math-ph2026
Fouling maps and polynomial first integrals from symmetric tensor fields
Rafael Azuaje, Juan Carlos Marrero, Edith Padrón
Under the framework of time-independent Hamiltonian mechanics on the cotangent bundles of the configuration spaces of mechanical systems, we introduce the concept of fou…
math-ph2023
Reduction by symmetries of contact mechanical systems on Lie groups
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de León +3
We study the dynamics of contact mechanical systems on Lie groups that are invariant under a Lie group action. Analogously to standard mechanical systems on Lie groups, existing sy…