English

A new amplitude-frequency formula for non-conservative oscillators

Dynamical Systems 2021-03-02 v1

Abstract

This paper formalize the existence's proof of first-integrals for any second order ODE, allowing to discriminate periodic orbits. Up to the author's knowledge, such a powerful result is not available in the literature providing a tool to determine periodic orbits/limit cycles in the most general scenario.

Keywords

Cite

@article{arxiv.2103.01092,
  title  = {A new amplitude-frequency formula for non-conservative oscillators},
  author = {Andrés García},
  journal= {arXiv preprint arXiv:2103.01092},
  year   = {2021}
}
R2 v1 2026-06-23T23:37:24.454Z