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math-ph2022
Null Lagrangians and Gauge Functions in Dynamical Systems: Forces and Nonlinearities
L. C. Vestal, Z. E. Musielak
Among different Lagrangians, null Lagrangians are known for having identically zero the Euler-Lagrange equation and, therefore, they have no effects on the resulting equations of m…
math-ph2020★ 7 cited
Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
Z. E. Musielak, L. C. Vestal, B. D. Tran +1
Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energ…