Nonlinear interaction among oscillation modes of accretion tori
Nonlinear interaction among oscillation modes of accretion tori
Nonlinear interaction among oscillation modes of accretion tori
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Outline◮ <strong>Nonlinear</strong> <strong>interaction</strong> <strong>of</strong> <strong>modes</strong>→ How to calculate nonlinear <strong>oscillation</strong>s <strong>of</strong> fluid bodies?◮ Slender <strong>tori</strong>→ Eigenfrequencies and eigenfunctions→ Coupling two <strong>modes</strong>, internal resonances◮ The 3:2 epicyclic resonance→ Resonance conditions→ Region <strong>of</strong> resonance◮ Excitation <strong>of</strong> the <strong>oscillation</strong>s by an instability→ Papaloizou-Pringle instability→ Three-mode interctions◮ <strong>Nonlinear</strong> diskoseismology (questions)...?◮ Conclusions, open quastions