Parametric resonance as a model for QPO sources -- I. A general approach to multiple scales
| dc.creator | Horak, J. | |
| dc.date | 2004-08-04 | |
| dc.date.accessioned | 2026-07-07T02:14:13Z | |
| dc.date.available | 2026-07-07T02:14:13Z | |
| dc.description | 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 a quadratic nonlinearity and we show that this case is particularly relevant for QPOs. We present a very convenient way how to study internal resonances of a fully general system using the method of multiple scales. Finally, we concentrate to conservative systems and discuss their behavior near the 3:2 resonance. | |
| dc.description | To appear in proceedings of the Workshop Processes in the vicinity of black holes and neutron stars, held at Silesian University (Opava, October 2003); 16 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0408092 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0408092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/8030 | |
| dc.subject | Astrophysics | |
| dc.title | Parametric resonance as a model for QPO sources -- I. A general approach to multiple scales | |
| dc.type | text |