On purely nonlinear oscillators generalizing an isotonic potential
Classical Physics
2019-06-27 v2 Exactly Solvable and Integrable Systems
Abstract
In this paper we consider a nonlinear generalization of the isotonic oscillator in the same spirit as one considers the generalization of the harmonic oscillator with a truly nonlinear restoring force. The corresponding potential being asymmetric we invoke the symmetrization principle and construct a symmetric potential in which the period function has the same value as in the original asymmetric potential. The period function is amplitude dependent and expressible in terms of the hypergeometric function and reduces to when , i.e., corresponding to the special case of an isotonic oscillator.
Cite
@article{arxiv.1906.10387,
title = {On purely nonlinear oscillators generalizing an isotonic potential},
author = {A. Ghose-Choudhury and Aritra Ghosh and Partha Guha and Ankan Pandey},
journal= {arXiv preprint arXiv:1906.10387},
year = {2019}
}