13 citations · 13 across the 2 of their papers we have counts for
3 papers
Hamilton--Jacobi theory for non-conservative field theories in the -contact framework
Javier de Lucas, Julia Lange, Xavier Rivas +1
This article develops a Hamilton--Jacobi theory for non-conservative classical field theories, with particular emphasis on dissipative systems, in the framework of co-oriented k-co…
Stability analysis of the -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 -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in deta…
Poisson-Hopf algebra deformations of Lie-Hamilton systems
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the so-called Lie-Hamilton systems, to devise a novel formalism: the Poisson-Hopf algebra defo…