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math-ph2019★ 26 cited
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…
math-ph2018★ 30 cited
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…