Cheillini integrability and quadratically damped oscillators
Exactly Solvable and Integrable Systems
2017-05-24 v1
Abstract
In this paper a new approach to study an equation of the Lienard type with a strong quadratic damping is proposed based on Jacobi's last multiplier and Cheillini's integrability condition. We obtain a closed form solution of the transcendental characteristic equation of the Lienard type equation using the Lambert W-function.
Cite
@article{arxiv.1608.07377,
title = {Cheillini integrability and quadratically damped oscillators},
author = {Ankan Pandey and A. Ghose Choudhury and Partha Guha},
journal= {arXiv preprint arXiv:1608.07377},
year = {2017}
}