Nonconservative Lagrangian mechanics II: purely causal equations of motion
Classical Physics
2015-09-17 v1
Abstract
This work builds on the Volterra series formalism presented in [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems. Here we treat Lagrangians and actions as `time dependent' Volterra series. We present a new family of kernels to be used in these Volterra series that allow us to derive a single retarded equation of motion using a variational principle.
Keywords
Cite
@article{arxiv.physics/0402056,
title = {Nonconservative Lagrangian mechanics II: purely causal equations of motion},
author = {David W. Dreisigmeyer and Peter M. Young},
journal= {arXiv preprint arXiv:physics/0402056},
year = {2015}
}