26 citations · 92 across the 14 of their papers we have counts for
14 papers
Geometry preserving numerical methods for physical systems with finite-dimensional Lie algebras
L. Blanco, F. Jiménez Alburquerque, J. de Lucas +1
We propose a geometric integrator to numerically approximate the flow of Lie systems. The key is a novel procedure that integrates the Lie system on a Lie group intrinsically assoc…
Geometric numerical methods for Lie systems and their application in optimal control
L. Blanco, F. Jiménez, J. de Lucas +1
A Lie system is a non-autonomous system of first-order ordinary differential equations whose general solution can be written via an autonomous function, a so-called (nonlinear) sup…
Time-dependent Hamiltonian mechanics on a locally conformal symplectic manifold
Orlando Ragnisco, Cristina Sardon, Marcin Zając
In this paper we aim at presenting a concise but also comprehensive study of time-dependent (tdependent) Hamiltonian dynamics on a locally conformal symplectic (lcs) manifold. We p…
Plasma in monopole background is not twisted Poisson
Manuel Lainz, Cristina Sardon, Alan Weinstein
For a particle in the magnetic field of a cloud of monopoles, the naturally associated 2-form on phase space is not closed, and so the corresponding bracket operation on functions…
A Hamilton-Jacobi formalism for higher order implicit systems
O. Esen, M. de León, C. Sardón
In this paper, we present a generalization of a Hamilton--Jacobi theory to higher order implicit differential equations. We propose two different backgrounds to deal with higher or…
Reduction of a Hamilton-Jacobi equation for nonholonomic systems
Oğul Esen, Manuel de León, Víctor Manuel Jiménez Morales +1
Nonholonomic mechanical systems have been attracting more interest in recent years because of their rich geometric properties and their applications in Engineering. In all generali…