27 citations · 35 across the 2 of their papers we have counts for
4 papers
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…
Topological Data Analysis of Northern Hemisphere SLP Anomalies: Identifying and Tracking the Structural Skeleton of Atmospheric Pressure Systems
Himanshu Yadav, Gisela D. Charó, Davide Faranda
We propose a novel framework based on Topological Data Analysis (TDA) to identify and track cyclonic and anticyclonic structures in the Northern Hemisphere. Using persistent homolo…
Topological modes of variability of the wind-driven ocean circulation
Gisela D. Charó, Denisse Sciamarella, Juan Ruiz +2
Templexes are topological objects that encode the branching organization of a flow in phase space. We build on these objects to introduce the concept of topological modes of variab…