1 citations · 2 across the 4 of their papers we have counts for
5 papers
A Discrete Hamilton--Jacobi Theory for Contact Hamiltonian Dynamics
Oğul Esen, Cristina Sardón, Marcin Zajac
In this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geo…
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…
Matched Pair Analysis of Euler-Poincaré Flow on Hamiltonian Vector Fields
Oğul Esen, Cristina Sardón, Marcin Zajac
In this paper we provide a matched pair decomposition of the space of symmetric contravariant tensors . From this procedure two complementary Lie subalgebr…
The globalization problem of the Hamilton-DeDonder-Weyl equations on a local -symplectic framework
Oğul Esen, Manuel de León, Cristina Sardón +1
In this paper we aim at addressing the globalization problem of Hamilton-DeDonder-Weyl equations on a local -symplectic framework and we introduce the notion of {\it locally con…
Hamilton-Jacobi theory for gauge field theories
Manuel de León, Marcin Zając
Recently, M. de León el al. ([8]) have developed a geometrical description of Hamilton-Jacobi theory for multisymplectic field theory. In our paper we analyse in the same spirit a…