output
20152026
most citedEvidence for a radiation belt around a brown dwarf

28 citations

Showing 2022Show all

7 papers · 1 filter

math-ph2022★ 3 cited

Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems

Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú +1

A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics…

math.OC2022★ 7 cited

Nonsmooth Herglotz variational principle

Asier López-Gordón, Leonardo Colombo, Manuel de León

In this paper, the theory of smooth action-dependent Lagrangian mechanics (also known as contact Lagrangians) is extended to a non-smooth context appropriate for collision problems…

math-ph2022★ 20 cited

Multicontact formulation for non-conservative field theories

Manuel de León, Jordi Gaset, Miguel Carlos Muñoz-Lecanda +2

A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional…

math-ph2022★ 15 cited

Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems

Manuel de León, Manuel Lainz, Asier López-Gordón +1

In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton--Jacobi theory for these s…

math-ph2022★ 1 cited

A geometric model for non-uniform processes of morphogenesis

V. M. Jiménez, M. de León

In this paper we present an application of the groupoid theory to the study of relevant case of material evolution phenomena, the \textit{process of morphogenesis}. Our theory is i…

math-ph2022★ 11 cited

Contact Lagrangian systems subject to impulsive constraints

Leonardo J. Colombo, Manuel de León, Asier López-Gordón

We describe geometrically contact Lagrangian systems under impulsive forces and constraints, as well as instantaneous nonholonomic constraints which are not uniform along the confi…

math.DG2022★ 6 cited

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…