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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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Three-mode dynamics◮ |γ 3| |γ 1| + |γ 2| ⇒ unstableamplitude10.5Parent modeDaughter 1Daughter 200 50 100 150 200time◮ |γ 3| ≪ |γ 1| + |γ 2| & δω > δω crit ⇒ saturationamplitude10.5Parent modeDaughter 1Daughter 200 50 100 150 200 250 300 350 400 450 500time◮ |γ 3| ≪ |γ 1| + |γ 2| & δω < δω crit ⇒ stable limit cycles0.3amplitude0.20.1Parent modeDaughter 1Daughter 200 50 100 150 200 250 300 350 400 450 500time

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