English

Development of accurate solutions for a classical oscillator

Mathematical Physics 2015-06-26 v1 math.MP

Abstract

We present a method to obtain arbitrarily accurate solutions for conservative classical oscillators. The method that we propose here works both for small and large nonlinearities and provides simple analytical approximations. A comparison with the standard Lindstedt-Poincar\'e method is presented, from which the advantages of our method are clear.

Keywords

Cite

@article{arxiv.math-ph/0606034,
  title  = {Development of accurate solutions for a classical oscillator},
  author = {Paolo Amore and Nestor Sanchez},
  journal= {arXiv preprint arXiv:math-ph/0606034},
  year   = {2015}
}

Comments

11 pages, 2 figures

R2 v1 2026-07-22T16:27:57.336Z