Is there any relationship between the Rössler attractor and thin accretion disks, like the accretion disk(s) in the movie Interstellar?
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1What makes you think there is? – HDE 226868 Dec 28 '14 at 22:42
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Well, both present trajectories. So my assumption was that accretion discs can be somehow approximated by Rössler attractors. Obviously not the case. Thx. – Randy Welt Dec 31 '14 at 13:04
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I don't think there is any, the accretion disc is assumed to actually just be a disc in the equatorial plane like the rings of Saturn, it only appears distorted due to strong gravitational lensing of the light it emits, see my answer here. And their appearance isn't even the same, the Rossler attractor has a cusp or bulge in only one direction out of the disc-shaped region:
Whereas the apparent visual shape of the accretion disc has two bulges above and below the equatorial region, and the portion that actually appears to be in the equatorial plane doesn't extend around a full 360 degrees:
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Very pretty! If I fly a Moebius trajectory in the disk, can I go back in time? ;-) – CuriousOne Dec 28 '14 at 22:45