NoséHoover Attractor
This set of dynamical equations was found by Shūichi Nosé in 1984 when researching about molecular dynamics and thermal equilibrium distribution^{1}:
\[\dot{q} = \frac{p}{s^2}\] \[\dot{p} = q\] \[\dot{s} = \zeta\] \[\dot{\zeta} = \frac{p^2}{s^3}  \frac{T}{s}\]Further research by William Graham Hoover^{2} a year later simplified them to^{3}:
\[\dot{q} = p\] \[\dot{p} = q  \zeta\, p\] \[\dot{\zeta} = p^2  T\]Renders
With \(T = 1.5\):
Framing It
I liked the third render so much, that I printed it on 45×35 cm fineart paper and framed it. Read more in my blog post.
Stereographic Animation

S. Nosé, 1984. "A unified formulation of the constant temperature molecular dynamics methods". J. Chem. Phys. 81(1). doi:10.1063/1.447334. ↩

Professor Doctor Hoover has a great homepage where you can find all of his research, books and lectures. ↩

W.G. Hoover, 1985. "Canonical dynamics: Equilibrium phasespace distribution". Phys. Rev. A. 31(3). doi:10.1103/PhysRevA.31.1695. ↩