77 citations · 818 across the 61 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…
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…