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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1$\begingroup$ What makes you think there is? $\endgroup$– HDE 226868Commented Dec 28, 2014 at 22:42
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$\begingroup$ Well, both present trajectories. So my assumption was that accretion discs can be somehow approximated by Rössler attractors. Obviously not the case. Thx. $\endgroup$– Randy WeltCommented Dec 31, 2014 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:
answered Dec 28, 2014 at 22:41
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$\begingroup$ Very pretty! If I fly a Moebius trajectory in the disk, can I go back in time? ;-) $\endgroup$ Commented Dec 28, 2014 at 22:45