271 citations · 1.1k across the 27 of their papers we have counts for
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Noether theorem for action-dependent Lagrangian functions: conservation laws for non-conservative systems
M. J. Lazo, J. Paiva, G. S. F. Frederico
In the present work, we formulate a generalization of the Noether Theorem for action-dependent Lagrangian functions. The Noether's theorem is one of the most important theorems for…
An Action Principle for Action-dependent Lagrangians: toward an Action Principle to non-conservative systems
Matheus J. Lazo, Juilson Paiva, João T. S. Amaral +1
In this work, we propose an Action Principle for Action-dependent Lagrangian functions by generalizing the Herglotz variational problem to the case with several independent variabl…
Constants of Motion for Non-Differentiable Quantum Variational Problems
Jacky Cresson, Gastao S. F. Frederico, Delfim F. M. Torres
We extend the DuBois-Reymond necessary optimality condition and Noether's symmetry theorem to the scale relativity theory setting. Both Lagrangian and Hamiltonian versions of Noeth…