Denise Sciamarella and Gabriel Mindlin designed the four-dimensional system [1]
from a three-dimensional system proposed by Deng [2] For appropriate parameter values as
this system produces a chaotic attractor (Fig. 1). A solution to this system was investigated with a cell complex in their work. It was recently revisited in terms of templex [3]
From the complex of cells Here, a templex was built and, then, a template constructed as drawn in Fig. 2.
[1] D. Sciamarella & G. B. Mindlin, Unveiling the topological structure of chaotic flows from data, Physical Review E, 64, 036209, 2001.
[2] B. Deng, Constructing homoclinic orbits and chaotic attractors, International Journal of Bifurcation & Chaos, 4, 823-841, 1994.
[3] G. D. Charó, C. Letellier & D. Sciamarella, Templex : A bridge between homologies and templates for chaotic attractors, Chaos, 32 (8), 083108, 2022. Online