Action-angle variables for the purely nonlinear oscillator
Classical Physics
2019-07-24 v2 Chaotic Dynamics
Pattern Formation and Solitons
Abstract
In this letter, we study the purely nonlinear oscillator by the method of action-angle variables of Hamiltonian systems. The frequency of the non-isochronous system is obtained, which agrees well with the previously known result. Exact analytic solutions of the system involving generalized trigonometric functions are presented. We also present arguments to show the adiabatic invariance of the action variable for a time-dependent purely nonlinear oscillator.
Cite
@article{arxiv.1905.08062,
title = {Action-angle variables for the purely nonlinear oscillator},
author = {Aritra Ghosh and Chandrasekhar Bhamidipati},
journal= {arXiv preprint arXiv:1905.08062},
year = {2019}
}
Comments
17 pages, 7 figures, to appear in IJNLM