J. de Lucas

collaborators

3 papers

math.DG2025

$k$ -contact Lie systems: theory and applications

Javier de Lucas, Xavier Rivas, Tomasz Sobczak

This paper introduces a new class of Lie systems that are Hamiltonian relative to a $k$ -contact manifold. We show that a recent distributional approach to $k$ -contact manifolds alo…

math.PR2025

Hamiltonian stochastic Lie systems and applications

E. FernÃ¡ndez-Saiz, J. de Lucas, X. Rivas +1

This paper provides a practical approach to stochastic Lie systems, i.e. stochastic differential equations whose general solutions can be written as a function depending only on a…

math-ph2025

Stability analysis of the $(1 + 1)$ -dimensional Nambu-Goto action gas models

Alfred M. Grundland, Javier de Lucas, Bartosz M. Zawora

The aim of this paper is to perform a nonlinear stability analysis of the $(1 + 1)$ -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in deta…

k-contact Lie systems: theory and applications

Hamiltonian stochastic Lie systems and applications

Stability analysis of the (1+1)-dimensional Nambu-Goto action gas models

$k$ -contact Lie systems: theory and applications

Stability analysis of the $(1 + 1)$ -dimensional Nambu-Goto action gas models