28 citations · 36 across the 6 of their papers we have counts for
3 papers · 1 filter
Templex: a bridge between homologies and templates for chaotic attractors
Gisela D. Charó, Christophe Letellier, Denisse Sciamarella
The theory of homologies introduces cell complexes to provide an algebraic description of spaces up to topological equivalence. Attractors in state space can be studied using Branc…
Templex-based dynamical units for a taxonomy of chaos
Caterina Mosto, Gisela D. Charó, Christophe Letellier +1
Discriminating different types of chaos is still a very challenging topic, even for dissipative three-dimensional systems for which the most advanced tool is the template. Neverthe…
Functorial invariants for chaos topology from data
Denisse Sciamarella
The templex is a topological object bridging homologies and templates for chaotic dynamics. This article places the templex within category theory, introducing a directed path alge…