6 citations · 11 across the 5 of their papers we have counts for
5 papers
A geometric approach to the (generalized) Noether theorem for Hamiltonian systems on (non)-uniform q-contact manifolds
Manuel de León, Cristina Sardón, Xuefeng Zhao
In this paper, we develop a unified Hamiltonian framework for dynamical systems with multiple independent dissipation channels based on q-contact geometry. As an application, we em…
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…
On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory
Begüm Ateşli, Oğul Esen, Manuel de León +1
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem o…
Quantum quasi-Lie systems: properties and applications
J. F. Cariñena, J. de Lucas, C. Sardón
A Lie system is a non-autonomous system of ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional Lie…
Implicit Contact Dynamics and Hamilton-Jacobi Theory
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
In this paper we propose a Hamilton-Jacobi theory for implicit contact Hamiltonian systems in two different ways. One is the understanding of implicit contact Hamiltonian dynamics…