The autoparametric 3:2 resonance in conservative systems
arXiv:astro-ph/0510605 · doi:10.1002/asna.200510421
Abstract
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.
An update to astro-ph/0408092, 6 pages, 4 figures, Astron. Nachr, in press
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- Research on high-frequency quasi-periodic oscillations in black bounce-type spacetime
- Observational constraints on the Kerr and its several single-parameter modified spacetimes using quasi-periodic oscillation data
- Constraining the mass and moment of inertia of neutron stars from quasi-periodic oscillations in X-ray binaries
- Parametric resonance in a conservative system of coupled nonlinear oscillators