保守系统中的自参数3:2共振
摘要
In the resonance model, high-frequency quasi-periodic oscillations (QPOs) are supposed to be a consequence of nonlinear resonance between modes of oscillations occurring within the innermost parts of an accretion disk. Several models with a prescribed mode--mode interaction were proposed in order to explain the characteristic properties of the resonance in QPO sources. In this paper, we examine nonlinear oscillations of a system having two degrees of freedom and we show that this case could be particularly relevant for QPOs. We present a very convenient way how to study autoparametric resonances of a fully general system using the method of multiple scales. We concentrate to conservative systems and discuss their behavior near the 3:2 parametric resonance.
引用
@article{arxiv.astro-ph/0510605,
title = {The autoparametric 3:2 resonance in conservative systems},
author = {J. Horak},
journal= {arXiv preprint arXiv:astro-ph/0510605},
year = {2009}
}
备注
An update to astro-ph/0408092, 6 pages, 4 figures, Astron. Nachr, in press