Zobrazeno 1 - 10
of 1 076
pro vyhledávání: '"Gaset, A."'
Autor:
de León, Manuel, Rifà, Jordi Gaset, Muñoz-Lecanda, Miguel C., Rivas, Xavier, Román-Roy, Narciso
Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. After a friendly introduction, we make a quick presentation of a new mathematical framework for action-dependent field th
Externí odkaz:
http://arxiv.org/abs/2409.08340
We present a new method to analytically prove global stability in ghost-ridden dynamical systems. Our proposal encompasses all prior results and consequentially extends them. In particular, we show that stability can follow from a conserved quantity
Externí odkaz:
http://arxiv.org/abs/2408.16832
Publikováno v:
Fortschr. Phys. 2023, 2300048
In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this paper, we prove a Noether's theorem for non-autonomous contact Hamiltonian systems, characterizing a class
Externí odkaz:
http://arxiv.org/abs/2212.14848
In the recent years, with the incorporation of contact geometry, there has been a renewed interest in the study of dissipative or non-conservative systems in physics and other areas of applied mathematics. The equations arising when studying contact
Externí odkaz:
http://arxiv.org/abs/2211.17058
We present the covariant multisymplectic formalism for the so-called cubic Horndeski theories and discuss the geometrical and physical interpretation of the constraints that arise in the unified Lagrangian-Hamiltonian approach. We analyse in more det
Externí odkaz:
http://arxiv.org/abs/2211.10625
Autor:
Gaset, Jordi
We use the kernel of a premultisymplecic form to classify its solutions, inspired by the work of M. Gotay and J. Nester. In the case of variational premultisymplectic forms, there is an equivalence relation which classify the solutions in general dis
Externí odkaz:
http://arxiv.org/abs/2209.11212
Autor:
de León, Manuel, Gaset, Jordi, Muñoz-Lecanda, Miguel Carlos, Rivas, Xavier, Román-Roy, Narciso
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and using the forms that define this multicontact structure
Externí odkaz:
http://arxiv.org/abs/2209.08918
Autor:
Gaset, Jordi, Mas, Arnau
We derive the equations of motion of an action-dependent version of the Einstein-Hilbert Lagrangian, as a specific instance of the Herglotz variational problem. Action-dependent Lagrangians lead to dissipative dynamics, which cannot be obtained with
Externí odkaz:
http://arxiv.org/abs/2206.13227
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this setting we develop the Hamilton
Externí odkaz:
http://arxiv.org/abs/2205.09454
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We present the extended contact L
Externí odkaz:
http://arxiv.org/abs/2110.04815