Some pictures of hyperbolic dynamical systems

I created some pictures of classical hyperbolic systems, defined on the sphere and the torus : systems derived from Anosov, Plykin attractor and Smale horseshoe.
These pictures were obtained using the freeware fractint .
More pictures of dynamical systems can be found here .

I also built a paper model for the Plykin attractor; see here for the template.


Systems derived from Anosov

photo photo photo photo

photo photo photo photo photo

photo photo photo photo



Plykin attractor, Wada lakes

photo photo photo photo

photo photo photo photo photo

photo photo

Anecdot



Horseshoes

photo photo photo

photo photo photo photo



Spirals

photo photo photo photo

photo photo photo photo photo



Some non-invertible systems

photo photo photo photo

photo photo photo

photo photo



Created by Yves Coudène.
Last modified November, 7, 2016.

Yves.Coudene at upmc.fr