Cheillini integrability and quadratically damped oscillators
arXiv:1608.07377 · doi:10.1016/j.ijnonlinmec.2017.04.004
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.