2004/08/04 by Jiří Horák, J. Horak, Horak, J. · 1 citation
Chemistry · Engineering · Environmental Science · Physics and Astronomy · #Acoustic Wave Resonator Technologies #Astrophysics (astro-ph) #FOS: Physical sciences #Methane Hydrates and Related Phenomena #Spectroscopy and Laser Applications #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/0408092
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
arxiv created 2004/08/04 · openalex publication_date 2004/08/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.