4 papers
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…
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 notion of foul…
Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
Ivan Gutierrez-Sagredo, David Iglesias Ponte, Juan Carlos Marrero +1
In this paper, we introduce the notion of a multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unim…
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…