Exploració per tema "Hamiltonian formalism"
Ara es mostren els items 1-10 de 10
-
Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories
(2009-03-10)
Working paper
Accés obertThe k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic ... -
Constraint algorithm for singular field theories in the k-cosymplectic framework
(American Institute of Mathematical Sciences, 2020-03-15)
Article
Accés obertThe aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of k-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of ... -
Constraint algorithm for singular k-cosymplectic field theories
(Universitat Politècnica de Catalunya, 2015-10)
Projecte Final de Màster Oficial
Accés obertThe main objective of this thesis is to develop a constraint algorithm for singular k-cosymplectic field theories. -
Equivalence between the Hamiltonian and Lagrangian formalisms for constrained systems
(1986-08)
Article
Accés obertThe equivalence between the Lagrangian and Hamiltonian formalism is studied for constraint systems. A procedure to construct the Lagrangian constraints from the Hamiltonian constraints is given. Those Hamiltonian constraints ... -
Erratum: constraint algorithm for singular field theories in the $ k $-cosymplectic framework
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2021-06)
Article
Accés obert -
Geometrical aspects of contact mechanical systems and field theories
(Universitat Politècnica de Catalunya, 2021-12-17)
Tesi
Accés obertMany important theories in modern physics can be stated using the tools of differential geometry. It is well known that symplectic geometry is the natural framework to deal with autonomous Hamiltonian mechanics. This admits ... -
k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach
(2006-02-14)
Article
Accés obertThe k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified ... -
New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
(2020-06-01)
Article
Accés obertWe provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented ... -
Skinner–Rusk formalism for k-contact systems
(2022-02-01)
Article
Accés obertIn previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of k-contact Hamiltonian ... -
Some topics concerning the theory of singular dynamical systems
(2006-03-01)
Article
Accés obertSome subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two matters are considered: the theory of canonical transformations for presymplectic ...