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@article{42101, author = {Abramowicz, Marek and Török, Gabriel}, article_location = {FR - Francouzská republika}, article_number = {499}, doi = {http://dx.doi.org/10.1051/0004-6361/200810740}, keywords = {X-rays:binaries ?Stars:neutron? Accretion, accretion disks}, language = {eng}, issn = {1432-0746}, journal = {Astronomy & Astrophysics}, title = {Internal resonance in non-linear disk oscillations and the amplitude evolution of neutron star kilohertz QPOs}, year = {2009} }
TY - JOUR ID - 42101 AU - Abramowicz, Marek - Török, Gabriel PY - 2009 TI - Internal resonance in non-linear disk oscillations and the amplitude evolution of neutron star kilohertz QPOs JF - Astronomy & Astrophysics IS - 499 SN - 14320746 KW - X-rays:binaries ?Stars:neutron? Accretion, accretion disks N2 - We explore some properties of twin kilohertz quasiperiodic oscillations (QPOs) in a simple toy-model consisting of two oscillation modes coupled by a general nonlinear force. We examine resonant effects by slowly varying the values of the tunable, and nearly commensurable, eigenfrequencies. The behavior of the actual oscillation frequencies and amplitudes during a slow transition through the 3:2 resonance is examined in detail and it is shown that both are significantly affected by the nonlinearities inthe governing equations. In particular, the amplitudes of oscillations reflect a resonant exchange of energy between the modes, as a result the initially weaker mode may become dominant after the transition. ER -
ABRAMOWICZ, Marek and Gabriel TÖRÖK. Internal resonance in non-linear disk oscillations and the amplitude evolution of neutron star kilohertz QPOs. \textit{Astronomy \&{} Astrophysics}. FR - Francouzská republika, 2009, No~499, 6 pp. ISSN~1432-0746. Available from: https://dx.doi.org/10.1051/0004-6361/200810740.
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