28 citations · 36 across the 5 of their papers we have counts for
5 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…
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…
Random templex encodes topological tipping points in noise-driven chaotic dynamics
Gisela D. Charó, Michael Ghil, Denisse Sciamarella
Random attractors are the time-evolving pullback attractors of stochastically perturbed, deterministically chaotic dynamical systems. These attractors have a structure that changes…
Noise-driven Topological Changes in Chaotic Dynamics
Gisela D. Charó, Mickaël D. Chekroun, Denisse Sciamarella +1
Noise modifies the behavior of chaotic systems in both quantitative and qualitative ways. To study these modifications, the present work compares the topological structure of the d…