The inverse problem in the calculus of variations and the geometry of the tangent bundle
G Morandi, C Ferrario, GL Vecchio, G Marmo… - Physics Reports, 1990 - Elsevier
The present paper deals with the geometry of the tangent bundle over a differentiable (Cr)
manifold, and with the so-called inverse problem of Lagrangian dynamics. There are various …
manifold, and with the so-called inverse problem of Lagrangian dynamics. There are various …
[HTML][HTML] Infinitesimal symmetries in contact Hamiltonian systems
In this paper, we extend the well-known Noether theorem for Lagrangian systems to contact
Lagrangian systems. We introduce a classification of infinitesimal symmetries and obtain the …
Lagrangian systems. We introduce a classification of infinitesimal symmetries and obtain the …
Symmetries, Conservation and Dissipation in Time‐Dependent Contact Systems
In contact Hamiltonian systems, the so‐called dissipated quantities are akin to conserved
quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non …
quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non …
Variational principles for nonpotential operators
One presents numerous approaches for the construction of variational principles for
equations with operators which, in general, are nonpotential. One considers separately …
equations with operators which, in general, are nonpotential. One considers separately …
Symmetries, constants of the motion, and reduction of mechanical systems with external forces
This paper is devoted to the study of mechanical systems subjected to external forces in the
framework of symplectic geometry. We obtain Noether's theorem for Lagrangian systems …
framework of symplectic geometry. We obtain Noether's theorem for Lagrangian systems …
The geometry of dissipation
A López-Gordón - arxiv preprint arxiv:2409.11947, 2024 - arxiv.org
Dissipative phenomena manifest in multiple mechanical systems. In this dissertation,
different geometric frameworks for modelling non-conservative dynamics are considered …
different geometric frameworks for modelling non-conservative dynamics are considered …
Jacobi fields and linear connections for arbitrary second-order ODEs
M Jerie, GE Prince - Journal of Geometry and Physics, 2002 - Elsevier
Jacobi fields and linear connections for arbitrary second-order ODEs - ScienceDirect Skip to
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Symmetries and constants of the motion for higher‐order Lagrangian systems
We obtain a classification of infinitesimal symrnetties of an autonomous higherorder
Lagrangian system by using the theory of lifts of vector fields to tangent bundles. Also, a …
Lagrangian system by using the theory of lifts of vector fields to tangent bundles. Also, a …
Symmetries in vakonomic dynamics: applications to optimal control
Symmetries in vakonomic dynamics are discussed. Appropriate notions are introduced and
their relationship with previous work on symmetries of singular Lagrangian systems is …
their relationship with previous work on symmetries of singular Lagrangian systems is …
Some contributions to k-contact Lagrangian field equations, symmetries and dissipation laws
It is well known that k-contact geometry is a suitable framework to deal with non-
conservative field theories. In this paper, we study some relations between solutions of the k …
conservative field theories. In this paper, we study some relations between solutions of the k …