7 citations · 15 across the 8 of their papers we have counts for
9 papers
Reduction of exact symplectic manifolds and energy hypersurfaces
J. Lange, B. M. Zawora
This article introduces two reduction schemes for Hamiltonian systems on an exact symplectic manifold admitting Lie group symmetries. It is demonstrated that these reduction proced…
Marsden--Meyer--Weinstein reduction for -contact field theories
J. de Lucas, X. Rivas, S. Vilarino +1
This work devises a Marsden--Meyer--Weinstein -contact reduction. Our techniques are illustrated with several examples of mathematical and physical relevance. As a byproduct, we…
Stability analysis of the -dimensional Nambu-Goto action gas models
Alfred M. Grundland, Javier de Lucas, Bartosz M. Zawora
The aim of this paper is to perform a nonlinear stability analysis of the -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in deta…
Symmetries and Noether's theorem for multicontact field theories
Xavier Rivas, Narciso Román-Roy, Bartosz M. Zawora
A geometric framework, called multicontact geometry, has recently been developed to study action-dependent field theories. In this work, we use this framework to analyze symmetries…
An energy-momentum method for ordinary differential equations with an underlying -polysymplectic manifold
Leonardo Colombo, Javier de Lucas, Xavier Rivas +1
This work presents a comprehensive review of the -polysymplectic Marsden-Weinstein reduction theory, rectifying prior errors and inaccuracies in the literature while introducing…
On k-polycosymplectic Marsden-Weinstein reductions
J. de Lucas, X. Rivas, S. Vilariño +1
We review and slightly improve the known k-polysymplectic Marsden--Weinstein reduction theory by removing some technical conditions on k-polysymplectic momentum maps by developing…
Cosymplectic geometry, reductions, and energy-momentum methods with applications
J. de Lucas, A. Maskalaniec, B. M. Zawora
Classical energy-momentum methods study the existence and stability properties of solutions of -dependent Hamilton equations on symplectic manifolds whose evolution is given by…
More on superintegrable models on spaces of constant curvature
Cezary Gonera, Joanna Gonera, Javier de Lucas +2
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of the…
A time-dependent energy-momentum method
J. de Lucas, B. M. Zawora
We devise a generalisation of the energy momentum-method for studying the stability of non-autonomous Hamiltonian systems with a Lie group of Hamiltonian symmetries. A generalisati…