General aspects of nonlinear resonance 3:2 in QPO context

Details General aspects of nonlinear resonance 3:2 in QPO context General aspects of nonlinear resonance 3:2 in QPO context

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004ragt.meet...91h&link_type=abstract

In Proceedings of RAGtime 4/5 Workshops on black holes and neutron stars, 14-16/13-15 October 2002/2003, Eds: S. Hledík and Z. S

Physics

3

Scientific paper

In the resonant model, quasi periodic oscillations (QPOs) are supposed to be consequence of a nonlinear resonance between modes of oscillations within innermost parts of an accretion disk. Several models with prescribed mode-mode interaction were proposed to examine characteristic properties of the resonance 3:2. In this paper I first review some general properties of nonlinear oscillations of the system having quadratic nonlinearity relevant for QPOs. Then I present very simple way how to study internal resonances of fully general system using the method of multiple scales. Finally, I concentrate to conservative systems and discuss their behaviour near the resonance 3:2.

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