Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions
Mathematical Physics
2015-06-22 v2 math.MP
Exactly Solvable and Integrable Systems
Classical Physics
Abstract
The classical nonlinear oscillator, proposed by Mathews and Lakshmanan in 1974 and including a position-dependent mass in the kinetic energy term, is generalized in two different ways by adding an extra term to the potential. The solutions of the Euler-Lagrange equation are shown to exhibit richer behaviour patterns than those of the original nonlinear oscillator.
Cite
@article{arxiv.1407.8390,
title = {Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions},
author = {C. Quesne},
journal= {arXiv preprint arXiv:1407.8390},
year = {2015}
}
Comments
16 pages, 4 figures, published version