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Internal resonance in nonlinear disk oscillations and the amplitude evolution of neutron-star kilohertz QPOs

Journal article
Authors J. Horák
Marek A Abramowicz
W. Kluzniak
P. Rebusco
G. Török
Published in Astronomy and Astrophysics
Volume 499
Issue 2
Pages 535-540
Publication year 2009
Published at Department of Physics (GU)
Pages 535-540
Language en
Keywords X-rays: binaries, stars: neutron, accretion, accretion disks
Subject categories Physical Sciences


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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