16 citations · 30 across the 8 of their papers we have counts for
8 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…
Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
O. Esen, M. de León, M. Lainz +2
In this survey, we review the classical Hamilton Jacobi theory from a geometric point of view in different geometric backgrounds. We propose a Hamilton Jacobi equation for differen…
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…
Cauchy data space and multisymplectic formulation of conformal classical field theories
Ogul Esen, Manuel de León, Cristina Sardón +1
In this article we inspect the dynamics of classical field theories with a local conformal behavior. Our interest in the multisymplectic setting comes from its suitable description…
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…
The Tulczyjew triple in mechanics on a Lie group
Marcin Zając, Katarzyna Grabowska
Tulczyjew triple for physical systems with configuration manifold equipped with Lie group structure is constructed and discussed. The case of systems invariant with respect to grou…