Zobrazeno 1 - 10
of 493
pro vyhledávání: '"Marrero, J. A."'
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduction of symmetric time-dependent Hamiltonian systems. As a consequence
Externí odkaz:
http://arxiv.org/abs/2411.11997
We extend known constructions of almost-Poisson brackets and their gauge transformations to nonholonomic systems whose Lagrangian is not mechanical but possesses a gyroscopic term linear in the velocities. The new feature introduced by such a term is
Externí odkaz:
http://arxiv.org/abs/2309.11597
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-called Kirillov Hamiltonian system. Moreover, we show that if we reduce f
Externí odkaz:
http://arxiv.org/abs/2307.04177
In this paper, we discuss several relations between the existence of invariant volume forms for Hamiltonian systems on Poisson-Lie groups and the unimodularity of the Poisson-Lie structure. In particular, we prove that Hamiltonian vector fields on a
Externí odkaz:
http://arxiv.org/abs/2207.05511
In this paper, we present a relation between Jacobi-Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a linear Poisson structure on a vector bundle. For this purpose, we will use the so-called Jacobi bundl
Externí odkaz:
http://arxiv.org/abs/2204.13523
We present the concept of a novel facility dedicated to massively-multiplexed spectroscopy. The telescope has a very wide field Cassegrain focus optimised for fibre feeding. With a Field of View (FoV) of 2.5 degrees diameter and a 11.4m pupil, it wil
Externí odkaz:
http://arxiv.org/abs/1708.03561
In this paper, we will give a rigorous construction of the exact discrete Lagrangian formulation associated to a continuous Lagrangian problem. Moreover, we work in the setting of Lie groupoids and Lie algebroids which is enough general to simultaneo
Externí odkaz:
http://arxiv.org/abs/1608.01586
Publikováno v:
Studies in Applied Mathematics; Jul2024, Vol. 153 Issue 1, p1-53, 53p
Publikováno v:
In Applied Mathematics and Computation 1 October 2020 382
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 225203
In this paper, we will see that the symplectic creed by Weinstein "everything is a Lagrangian submanifold" also holds for Hamilton-Poincar\'e and Lagrange-Poincar\'e reduction. In fact, we show that solutions of the Hamilton-Poincar\'e equations and
Externí odkaz:
http://arxiv.org/abs/1402.2847