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Title:
Internal resonance in nonlinear disk oscillations and the amplitude evolution of neutron-star kilohertz QPOs
Authors:
Horák, J.; Abramowicz, M. A.; Kluźniak, W.; Rebusco, P.; Török, G.
Affiliation:
AA(Astronomical Institute of the Academy of Sciences, Boční II 1401/1a, 141-31 Praha 4, Czech Republic ), AB(Department of Physics, Göteborg University, 41296 Göteborg, Sweden ; Copernicus Astronomical Centre PAN, Bartycka 18, 00-716 Warsaw, Poland ; Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo nám. 13, 746-01 Opava, Czech Republic), AC(Johannes Kepler Institute of Astronomy, Zielona Góra University, ul. Lubuska 2, 65-265 Zielona Góra, Poland ; Copernicus Astronomical Centre PAN, Bartycka 18, 00-716 Warsaw, Poland), AD(MIT Kavli Institute for Astrophysics and Space Research, 77 Massachusetts Avenue, Cambridge, MA 02139, USA), AE(Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo nám. 13, 746-01 Opava, Czech Republic)
Publication:
Astronomy and Astrophysics, Volume 499, Issue 2, 2009, pp.535-540 (A&A Homepage)
Publication Date:
05/2009
Origin:
EDP Sciences
Keywords:
X-rays: binaries, stars: neutron, accretion, accretion disks
DOI:
10.1051/0004-6361/200810740
Bibliographic Code:
2009A&A...499..535H

Abstract

We study the properties of twin kilohertz quasiperiodic oscillations (QPOs) with a simple toy model consisting of two oscillation modes coupled with a general nonlinear force. We examine resonant effects by slowly varying the values of the tunable, and nearly commensurable, eigenfrequencies. The behavior of the true oscillation frequencies and amplitudes during a slow transition through the 3:2 resonance is examined in detail, and it is shown that both are affected significantly by the nonlinearities in the governing equations. In particular, the amplitudes of oscillations reflect a resonant exchange of energy between the modes, and as a result the initially weaker mode may become dominant after the transition. We note that a qualitatively similar behavior was reported for several neutron-star sources where the difference in the amplitudes of neutron-star twin-peak QPOs changes sign as the observed frequency ratio of the QPOs passes through the value 3:2.
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