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Approximation Techniques for Non Linear Oscillators

Chaotic Dynamics 2009-04-14 v1

Abstract

We show that the Lindstedt-Poincare perturbation theory is always a reliable technique in the region of small coupling constant. The harmonic balance result, on the other hand, if expanded in the perturbation parameter may lead to incorrect results.

Keywords

Cite

@article{arxiv.0904.1793,
  title  = {Approximation Techniques for Non Linear Oscillators},
  author = {J. K. Bhattacharjee and Debabrata Dutta and Amartya Sarkar},
  journal= {arXiv preprint arXiv:0904.1793},
  year   = {2009}
}

Comments

15 pages, 1 figure

R2 v1 2026-06-21T12:50:25.633Z