English

On forced oscillations of a constrained relativistic particle

Dynamical Systems 2015-08-11 v3 Classical Analysis and ODEs

Abstract

We consider the forced motion of a relativistic particle constrained on a curve and present sufficient conditions for periodic oscillations by means of an illustrative geometrical approach. Obtained result is illustrated by a few examples including the forced relativistic pendulum.

Keywords

Cite

@article{arxiv.1504.07199,
  title  = {On forced oscillations of a constrained relativistic particle},
  author = {Ivan Polekhin},
  journal= {arXiv preprint arXiv:1504.07199},
  year   = {2015}
}

Comments

v3: 7 pages, 2 figures, linguistic improvements