4 citations · 4 across the 2 of their papers we have counts for
3 papers · 1 filter
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…
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries
A. Bravetti, S. Grillo, J. C. Marrero +1
In this paper, we discuss the reduction of symplectic Hamiltonian systems by scaling and standard symmetries which commute. We prove that such a reduction process produces a so-cal…
Discrete dynamics in implicit form
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
A notion of implicit difference equation on a Lie groupoid is introduced and an algorithm for extracting the integrable part (backward or/and forward) is formulated. As an applicat…