10 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
Nonstandard Null Lagrangians and Gauge Functions and Dissipative Forces in Dynamics
A. L. Segovia, L. C. Vestal, Z. E. Musielak
Standard and non-standard Lagrangians that give the same equation of motion are significantly different in their forms, as the latter do not have terms that clearly discernable ene…
Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
L. C. Vestal, Z. E. Musielak
The Lagrange formalism is developed for Bateman oscillators, which include both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians…
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…
Algorithm for determining U(1) charges in free fermionic heterotic string models
William Hicks, Lesley Vestal, Jared Greenwald +3
To assist in the search for phenomenologically realistic models in the string landscape, we must develop tools for investigating all gauge charges, including U(1) charges, in strin…